A closed rectangular container with a square base the Cost of Polishing the Outer Surface of the Box is Rs. Use calculus to find the dimensions of the container of least cost. 31 per square foot, the material for the sides costs $0. Find the dimensions that minimized the amount of material used (thus, minimize the total surface area of the box). The dimensions of the bottom are given here. You can retry this question below Consider a closed rectangular box with a square base with side and height y. The material for the top and bottom of the container will cost $2 per in^2, and the material for the sides will cost $1 per in^2. Find the dimensions of the container of least cost Enter the exact answers Length of edge of base = in Height = in A closed rectangular container with a square base is to have a volume of 1152 in^3. If the surface area is 32 square feet when x=4 and y=2, find dydx. Find step-by-step Calculus solutions and your answer to the following textbook question: A closed rectangular container with a square base is to have a volume of $2000 \mathrm{~cm}^3$. The material for the top and bottom of the container will cost $4 per in 2, and the material for the sides will cost $2 per in 2. 00 per sq inch and the material for the sides ; A closed rectangular container with a square base is to have a volume of 2,250 in^3. And we also assume the cost per centimeter square as the constant off. A closed rectangular box, with a square base x by x cm and height h cm. So from the A closed rectangular container with a square base is to have a volume of $2250 \mathrm{in}^{3} . Find the dimensio A closed rectangular container with a square base is to be made from two different materials. VIDEO ANSWER: Hi there, so for this problem we have a closed rectangular container, something like this. The material for the top and bottom of the container costs $2 per cm² , and the material for the sides costs $3 per cm2 . : x = 15 (length of the square base) y = 10 (height) A closed rectangular container with a square base is to be made from two dierentmaterials. The material for the top and bottom costs t cents per square inch and the material for the sides costs s cents per square inch. Find the dimensio Log On Nov 23, 2020 · A (closed)rectangular box with a square base has a surface area of 150 square inches. The material for the top and bottom of the container will cost $\$ 2$ per in $^{2},$ and the material for the sides will cost A closed rectangular container with a square base is to have a volume of 2000 in 3. Using calculus, find the dimensions of the container of least cost. dy when 2 = 3 feet and y = 10 da dy da = A closed rectangular box with a square base is to be made out of plywood. The material for the top and the bottom of the container will cost $2 per square inch, and the material for the sides will cost $3 per square inch. If the material for the base costs \$0. it costs twice as much per square centimeter for the top and bottom as it does for the Dec 7, 2015 · A closed rectangular container with a square base is to have a volume of $2000$ cubic centimeters. It costs as much per square centimeter for the top and bottom as it does for the sides. The material for the fop and bottom of the container will cost $4 per in2 2, and the material for the sides will cost $2 per in2. The material of the top and bottom of the container will cost $2 per inch^2 , Jun 30, 2020 · The volume of a closed rectangular metal box with a square base is 4096 cm 3. 6 cubic inches. The width of the base is to be 1 meter. 10 per square inch, and the material for the sides and the bottom costs $0. An open-topped rectangular box, with a square base x by x cm and height h cm. Find the dimensions of the box that minimize the amount of the material used. The material for the top of the box costs $0. 28) A closed rectangular box with a square base has an outside surface area of 16 ft2. Find the container with the largest volume that can be constructed for a total cost of $60. Find the dimensions of the container of the least cost. Jun 30, 2020 · The volume of a closed rectangular metal box with a square base is 4096 cm 3. What should the dimensions of the page be so that the least amount of paper is used? A container with square base, vertical sides, and open top is Chapter 3, Section 3. 1. 19 per square foot, determine the dimensions of the box that can be constructed at minimum cost. The cost of material for the sides of the box is $2 per square ft. : x = 15 (length of the square base) y = 10 (height) Nov 25, 2024 · A rectangular box is to have a square base and a volume of 40 ft3. Ans. Here’s the best way to solve it. Find the dimensions of the crate that will minimize the total cost of material. The material for the top and bottom of the container will cost $4 per in?, and the material for the sides will cost $2 per in². 00 per sq inch and the material for the sides ; A closed rectangular container with a Apr 30, 2019 · square base and no top. Find the dimens; A closed box with a square base is to have a volume of 2000 cm^3. Consider a closed rectangular box with a square base with side length x and height y. Find step-by-step Calculus solutions and your answer to the following textbook question: A closed rectangular container with a square base is to have a volume of $1152$ in3. The material for the top and bottem of the Consider will cost $2 per in^2, and material for the sides will cost $3 ; A rectangular box is to have a square base and a volume of 20 ft^3. If the surface area of the rectangular box is a constant 128 square feet but the side Oct 6, 2021 · VIDEO ANSWER: What we have is a square base. The volume is 23040ft^3. A. The material for the top and bott The material for the top and bott Answered over 90d ago Problem 3: Optimal Dimensions for a Box A rectangular box with an open top is to be constructed from 12 square meters of material. Find the dimensions of the container of l; A closed box with a square base is to have a volume of 2000 cm^3. The wood for top and bottom costs $20 per m^2, the wood for the side costs $30 per m^2 . The material for the top and bottom of the container will cost $2 per square inch. We have s squared h and 2000 together. = A closed rectangular container with a square base is to have a volume of 2,250 in^3. B. The bottom and all four sides of the container are to be made if oak wood, which costs $2 per square foot, and the top is to be made of steel, which costs $7 A closed rectangular container with a square base is to have a volume of 3456 in^3. It costs twice as much per square centimeter the top and bottom as it does for the sides. A closed rectangular container with a square base is to have a volume of 2000 cm^3. It cost twice as much per square centimeter for the top and bottom as it does for the sides. Find the dimen; A closed rectangular container with a square base is to have a volume of 2,250 in^3. 5 square centimeters. Find the dimensions of a closed rectangular box with a square base and volume 216 in^3 that can be constructed with the least amount of material. A closed rectangular container with a square base is to have a volume of 2 cubic ft. Determine the dimensions of the container of least cost. The material for the top and bottom of the container will cost $2 per in^2, and the maters for the sides will cost $1 per in^2. The material for the top and bottom of the container will cost $2 per in ind 2 and the material for the sides will cost $1 per in 2. Set up & use the ideas of optimization to finish the 2 days ago · The Volume of a Closed Rectangular Metal Box with a Square Base is 4096 Cm3. A closed rectangular container with a square base is to have a volume of 3000 cubic in. $ It costs twice as much per square centimeter for the top and bottom as it does for the sides. A closed; Of all boxes with a square base and a volume of 100 m^3, which one has the minimum surface An open-top rectangular box with a square base of side length x and height y is to be made. What should the height h and base length b of An open rectangular container is to be constructed with a square base [{MathJax fullWidth='false' x}] by [{MathJax fullWidth='false' x}] and height [{MathJax fullWidth='false' h}]. Jan 16, 2023 · Let's denote the side length of the square base as 'x' (in cm) and the height of the rectangular container as 'h' (in cm). Each company has determined they want to use the same type of materials to construct the containers. We were told to use X by them. A closed; Minimizing Surface Area: A box with a square base is to have a volume of 64 cubic inches. Let A be the length of each edge of the base and v be the height. Fully define all variables introduced. Find the Apr 25, 2023 · a rectangular container with a square base, an open top, and a volume of 1,372 cm3 is to be made. The material for the top and bottom of the container will cost $2 per square inch and the material for the sides will cost $3 per square inch. 3. A container with a rectangular base, rectangular sides and no top is to have a volume of 2 cubic meters. Find the dimensions of the A closed rectangular container with a square base is to have a volume of $2000 \mathrm{~cm}^{3}$. It costs twice as much per square centimeter for the top and bottom as it does for the sides. If the surface area of the rectangular box is 138 square feet, find feet. Algebra -> Surface-area-> SOLUTION: A closed rectangular container with a square base is to have a volume of 2000cm3. Apply the optimization process to determine the most economical storage container that can be constructed using the same materials as the two companies (and still meets the desired specifications: closed rectangular storage container with a square base and volume of 3 6 f t 3 ). If the area of the box is 196, then find the dimensions that maximize the volume. 2. What are the dimensions of the box? in. . When cut to size, material costs $20 per square meter for the base and $15 per square meter for the sides. Minimizing Surface Area. length = width) and a volume of 20 cubic ft. (a) Let the length of the sides be x ft and the In order to send the box through the U. If material for the base costs $8 per square meter, and material for the sides costs $2 per square meter, find the dimensions of the container so that the cost of A closed rectangular container with a square base is to have a volume of 3456 in^3. May 29, 2023 · A closed rectangular container with a square base is to have a volume of 2250 cubic inches. S(x, y) = dy when x = 2 feet and y dac b. An equation for the cost can be found here. A closed rectangular container with a square base is to have a volume of 2000 in3. Find dimensions ; A rectangular box with square base and a fixed volume V is to be made from two types of material. Calculate the volume of the cube and also the length of its edge. Material for the base costs $30 per square foot. The material for the top and bottom of the container will cost s2 per in^2, and the material for the sides will cost s3 per in^2. Question: A closed rectangular container with a square base is to have a volume of 250in3. The length of one side of the base is The height of the box is in. Find the dimens; A closed rectangular container with a square base is to have a volume of 3000 cubic in. A closed rectangular container with a square base is to have a volume of 2000 in^3. So it's X by 888-349-8884 A closed rectangular container with a square base is to have a volume of 3000 cubic in. Find the dimensions of the container that has the largest possible volume if the total cost of materials is $72 Question: 4. A closed rectangular container with a square base is to have a volume of 3456 in^3. The material for the top costs 10 centavos per square cm, while the material for the sides and bottom costs 5 centavos per square cm. Question: dimensions will res 3. A closed rectangular container with a square base is to have a volume of 2,250 cubic inches. Answer to Consider a closed rectangular box with a square base, Apr 15, 2015 · The Volume of a box with a square base x by x cm and height h cm is V=x^2h The amount of material used is directly proportional to the surface area, so we will minimize the amount of material by minimizing the surface area. S(x,y)=_____ b. The material for the top and the bottom of the container will cost $2 per square Sep 26, 2019 · To solve the problem of minimizing the cost of a closed rectangular container with a square base and a specific volume, we can follow these steps: Define the Variables: Let x be Question 1148825: A closed rectangular container with a square base is to have a volume of 18000 inches^3 . S(x,y)=, help (formulas) When the surface area is 112 square feet, x=4, and y=7,dydx= help (numbers) Problem 3: Optimal Dimensions for a Box A rectangular box with an open top is to be constructed from 12 square meters of material. It costs twice as much per cm2 for the top and bottom as it does for the sides. Set up a formula in one variable for the volume of the box. Find the dimensions of the container A closed rectangular container with a square base is to have a volume of 2250 cm3. A box with a square base and a closed top must have a volume of 512 in^3. 14. the material for the top and bottom of the container will cost $2 per in2 and the material for the sides will cost $6 per in2. The material for the top and bottom of the container will cost $2 per square inch, and the material for the sides will cost $6 per square inch. A rectangular solid with a square base has a surface area of 337. 4 The margins at the top and bottom of the page are each 1 inch, one side margin is 1 inch, and the other side margin is 2 inches. 05 per square inch; A closed rectangular container with a square base is to have a volume of 3000 cubic in. Question: Lone Depot and Homes are two competing home improvement stores. b) Find the value of x for which A is stationary. Find the dimensions of the Consider a closed rectangular box with a square base with side x and height y. X= The figure below shows a Norman window, which consists of a rectangle capped by a A closed rectangular container with a square base is to have a volume of 300 in³. The material for the top and bottom of the container will cost $4 per in2, and the material for the sides will cost $3 per in2. What is the minimum surface area for the container? Enter only the minimum surface area, and do not include units in your answer. A shipping company must design closed rectangular shipping crate with square base. The material for the top and bottom of the container will cost $\$2$ per in2, and the material for the sides will cost $\$3$ per in2. Find the Dimensions of the Box for the Minimum - Mathematics 1 day ago · A rectangular container, whose base is a square of side 5 cm, stands on a horizontal table, and holds water up to 1 cm from the top. The cost of polishing the outer surface of the box is ₹ 4 per cm 2. what is the minimum surface area for the container? enter only the minimum surface area, and do not include units in your answer. If the volume is given, find the shape (ratio of height to side of base) that minimizes the total number of square feet of plywood that are needed. a. The material for the top and bottom of the container will cost $2 per in?, and the material for the sides will cost $3 per in?. Let the length of the base be; A closed rectangular container with a square base is to have a volume of 2,250 in^3. To get A closed rectangular container with a square base is to have a volume of 2000 in3. The material for the top and bottom of the container will cost $2 per in2, and the material forthe sides will cost Problem 7. 29) The area of a rectangle is 80 in2. It's on the floor. The material for the top and bottom of the container will cost $3. Consider a closed rectangular box with a square base of side x, and height y. A rectangular container with a square base and open top must have volume of 16 cubic meters. We are going to make a box with a volume of over 3,300 m2. e. 5, Question 022 A closed rectangular container with a square base is to have a volume of 4394 in3 . (Let x represent the length of the sides of the square base and let y represent the height. Question: Consider a closed rectangular box with a square base with side x and heighty (a) Find an equation for the surface area of the rectangular box, S(x, y) S(x, y) (b) If the surface area of the rectangular box is 78 square feet, find when x = 3 feet and y ะ 5 feet. The material for the top and bottom of the container will cost $4 per in 2, and the material for the sides will cost $2 per in 2 . It costs twice as much per cm2 for the top and bottom as it does for the sides. It costs twice as much per square centimeter for the top and bottom as it does for the sides of the box. Find the surface area,S(x,y). The volume of this rectangular container is the area of the base multiplied by the height, so we have the equation x^2*h = 2000. So it is given that the volume of the box is 2 ,250 Question: A rectangular container with a square base, an open top, and a volume of 4,000 cm3 is to be made. Sep 26, 2019 · a closed rectangular box with a square base is to have a volume of 300 in3. A rectangular container with a square base, an open top, and a volume of 256 cm is to be made. A closed-top rectangular container with a square base is to have a volume of 300 cubic inches. $ The material for the top and bottom of the container will cost $\$ 2$ per in $^{2}$, and the material for the sides will cost $\$ 3$ per in $^{2}$. Find the dimensions of the Mar 8, 2020 · A closed rectangular container with a square base is to have a volume of 2250 in3. The material for the base costs $5 per square meter, while the material for the other five sides costs $1 per square meter. A closed-top rectangular container with a square base is to have a volume 300 in'. When a cube is placed in the water it is completely submerged, the water rises to the top and 2 cubic cm of water overflows. What we know is the volume is X squared, length times width times height, so X squared times Y is 2250 and we're in inches. Find the dimensions that give the maximum volume. I will call it Y because we don't know the height. A closed rectangular container with a square base is to have a volume of 2250 in3. (Round your answer to two decimal places. Alright, let's get started. Solution for A closed, rectangular-faced box with a square base is to be constructed using only 16 m? of material. $ The material for the top and bottom of the container will cost 2 dollars per in $^{2},$ and the material for the sides will cost 3 dollars per in $^{2} . The material for the top and bottom of the container will cost S4 per in2, and the material for the sides will cost S2 A closed rectangular container with a square base is to have a volume of 2000 cm². S(x,y)=help (formulas)When the surface area is 32 Consider a closed rectangular box with a square base with side x and height y. If the surface area of the rectangular box is 88 square feet, find feet. The material for the top and bottom of the container will cost $4 per in2, and the material for the sides will cost $2 per in2. Each claims to provide customers with a cost effective, versatile rectangular storage container with a square base and a volume of 36 ft3 (see the diagram below). Find the dimensions of the box for which the cost of materials is minimized. Find the dimensions of the container which has the largest possible volume if the total cost of materials is $72. S. Find an equation for the surface area of the rectangular box. Material for the sides costs $10 per square foot. No, we know that a volume off avoid is given by the product off its length, base and height, and in this case, 4 days ago · It is not difficult to show that for a closed-top box, by symmetry, among all boxes with a specified volume, a cube will have the smallest surface area. The material for the top and bottem of the Consider will cost $2 per in^2, and material for the sides will cost $3 ; A rectangular box with a square base is to be built for a cost of $60. Find the dimensions of the box for the minimum cost of polishing it. The material for the top and bottom of the container will cost $2 per in?, and the material for the sides A closed rectangular container with a square base is to have a volume of $2000 \mathrm{cm}^{3}$. S(x, y) = dy when = b. FInd the dimensions of the container of least cost. VIDEO ANSWER: Alright, let's get started. VIDEO ANSWER: The code that we are given is in C language and we have to write it into the assembly language. What are the dimensions and cost of constructing the most economical storage container? Aug 17, 2021 · A closed rectangular container with a square base is to have a volume of $2000 \mathrm{cm}^{3}$. The material for the top and sides costs $3 per square foot and the material for the bottom costs SS per square foot: Find the dimensions of the crate that will minimize the total cost of material; Answer 2 Points Keypad Keyboard Shortcut Find the dimensions giving the minimum surface area, given that the volume is 8 cm^3. The material for the top and bottom of the container will cost $2 per in2, and the material for the sides will cost $3 per in2. This side is 2000 square centimeters and the height is h. The material for the top and bottom of the container will cost $2 per in 2, and the material for the sides will cost $1 per in 2. The cost is minimized when the dimensions are . VIDEO ANSWER: So in this question the dimensions of the box are A, A and H where A is the dimension of the side of the square base and H is the height of the box. A closed rectangular container with a square base is to have a volume of 2,250 in^3. Find the dimensions of the Sandy is making a closed rectangular jewelry box with a square base from two different woods . The top is made of a metal costing $$\$ 2$$ per square foot and the remainder of wood costing $$\$ 1$$ per square foot. A closed rectangular container with a square base is to have a volume of 13718 in 2. SOLUTION: A closed rectangular container with a square base is to have a volume of 2000cm3. Find the dimensions of the container of l; A closed rectangular container with a square base is to have a volume of 2,250 in^3. The material for the top and sides costs $6 per square foot and the material for the bottom costs $14 per square foot. A closed rectangular container with a square base is to have a A closed rectangular container with a square base is to have a volume of 2,250 in^3. Let the length of the base be x and the height be h. So, this is your primary equation and this is your secondary equation. Express the above information using a single equation. A closed rectangular container with a square base is to have a volume of 2000 cubic centimeters. 4 per Cm2. A closed rectangular container with a square base is to have a volume of 2000 cm'. Q a. The material for the top and bottom of the container will cost $3 per in^2, and the material for the sides will cost $2 per in^2. The volume of the box must be 25. Find step-by-step Calculus solutions and your answer to the following textbook question: A closed rectangular container with a square base is to have a volume of 2000 cm³. Wha; A closed rectangular container with a square base is to have a volume of 2000 in^3. If the surface area of the rectangular box is 42 square feet, find dy/dx when x=3 feet and y=2 feet. The material for the top and bottom costs tt cents per square inch and the material for the sides costs s cents per square inch. Find the dimensions of the container of l; A closed rectangular container with a square base is to have a volume of 2250 cubic inches. Set up a formula in one variable for the perimeter of the rectangle. Enter the exact A closed, rectangular-faced box with a square base is to be constructed using only 20 m 2 of material. The material for the base costs $5 per square meter, while the material for the other five sides A closed rectangular container with a square base is to have a volume of 3000 cubic in. A closed rectangular container with a square base is to have a volume of 2662 in³. The material for the top and bottom of the container will cost $2 per in?, and the material for the sides will cost $1 per in. The material for the top and bottem of the Consider will cost $2 per in^2, and material for the sides will cost $3 ; A rectangular box is to have a square base (i. b Optimization: Express the volume as a function of one variable. Question: 6. S(x,y)= b. Consider a closed rectangular box with a square base with side x and height y. The volume is 18432 ft? . The constraint equation is what we have here. A cardboard rectangular box with a square base (and a top) must have a volume of 1000 cm^3. The material for the top and bottom of the container costs $2 per in³, and the material for the sides costs Sb/in². A rectangular box with a A closed rectangular container with a square base is to have a volume of 1152 in³. The material for the top and bottom of the container will cost $4 per in?, and the material for the sides will cost $3 per in?. It costs twice as much per square centimeter for the top and the bottom as it does for the sides. Find x and h (in terms of V, t, s) so that the cost is minimal. rectangular storage container with a square base and an open top is to have the volume of 1500 ft. The cost of material for the top and bottom of the box is $1 per sq. What dimensions will give the box the largest possible volume? a Set-up: Write an equation for the volume of the box and the constraint involving the material. ) The base of a rectangular box is to be twice as long as it is wide. Solution. VIDEO ANSWER: We have a closed rectangular container and it's going to have a square base and the volume is going to be 2250 cubic inches so x squared h is 2250 H is 2250 over x squared now, we're going to make a surface area function using the cost Jun 22, 2022 · So we're, given that a close rectangular container with a square base, has a volume of 2002 hunddred 50 cubic inches and that the material for the top and bottom of the container will cost 3 dollars per square inch and for the sides it will cost 4 dollars Per square inch to find the dimensions with the least cost, so we have that our volume equation for this A rectangular box with square base and a fixed volume V is to be made from two types of material. The material for the base costs $5 per square metre, while the material for the other vesides costs $1 per square metre. A closed rectangular container with a square base is to have a volume of 2304 in3. The material for the top and bottom of the container will cost $2 per in², and the material for the sides will cost$3 per in². The material for the top and bottom of the container will cost $4 per in?, and the material for the sides will cost $2 per in?. The cost of polishing the outer surface of the box is ₹ 4 per cm 2 . To minimize the cost, we first need to express the cost as a function of one variable. 00 per sq inch and the material for A closed rectangular container with square base is to have a volume of {eq}2000 \textrm{ cm}^{3} {/eq}. ) \\ (a) Determine the dimensions that yield the maximum Jun 23, 2023 · See the answer to your question: A closed rectangular container with a square base is to have a volume of [tex]2250 \, \te - brainly. A closed rectangular box whose base is twice as long as its width has a volume of 36000 cubic centimetres. ( 1 ) Create a function that models the cost of the box. The material for the sides will cost $3 per square Feb 26, 2021 · Consider a closed rectangular box with a square base with side x and height y . It has a square base, so the dimensions of the base we're going to label as x and the height of this as h. Question: A closed rectangular container with a square base is to have a volume of 2250 in3. Now the volume for this is also given, A rectangular container with a square base and an open top must have a volume of 32,000 cm3. What is the maximum volume for such a box? Maximum Volume in3 A A container with a rectangular base, rectangular sides and no top is to have a volume of 2 cubic meters. The material for the top and bottom of the container will cost $2 per in', and the material for the sides will cost $6 per in? Find the dimensions of a closed rectangular box with a square base and volume 729 in3 that can be constructed with the least amount of material. I'm having troubles fully understanding the A closed rectangular container with a square base is to have a volume of 2000 in. What is the rate of change of the height VIDEO ANSWER:in this question, we assumed the dimensions off the you point to be a coma, a coma, etch where a and E are the dimensions off the square base and it is the height off the keyboard. Find the surface area, S(x,y). Find the Find the dimensions giving the minimum surface area, given that the volume is 8 cm^3. We have to use the minimum instruction to translate the C code into the assembly language code, and there are two loops, one inner and one A rectangular container with a square base, an open-top, and a volume of 1,372 cm^3 is to be made. Question: A closed rectangular box with a square base has a side length of x cm and a height of y cm. A closed rectangular container with a square base is to have a volume of 2000cm. Find the dimensions of the container of least cost. Jan 16, 2023 · a closed rectangular container with a square base is to have a volume of 2000 cm3. If the surface area is 112 square feet when x=4 and y=7, find dydx. )A closed rectangular container with a square base is to have a volume of 2250 in^3. It costs twice as much per square centimeter for the top and bottom as it does for the A closed rectangular container with a square base is to have a volume of 2250 cubic inches. A rectangular container with a closed top and a square base is to be constructed. Find the dimensions of the A closed rectangular container with a square base is to have a volume of 3000 cubic in. ft. The material for the top and the bottom of the container will cost $2 per cubic inch, and the material for A closed rectangular container with a square base is to have a volume of 2250 in $^{3} . A closed rectangular container with a square base is to be made from two different materials. 05 per square foot, and the material for the top costs \$0. 37. x = _____ inches Nov 27, 2010 · A closed rectangular container with a square base is to have a volume of 2250 cubic inches. VIDEO ANSWER: There is a square base on the container. What is the maximum volume? A closed rectangular container with a square base is to have a volume of 2592 ln^3. $ Find the dimensions of the container of least cost. find the dimensions of the box which minimize cost Question: Question 7) A closed rectangular container with a square base is to have a volume of 2000 cm3. What I have so far: V=x^2h = 2250 so h = \frac{2250}{x^2} Feb 1, 2022 · A closed rectangular container with a square base is to have a volume of 2000 in 3 . 30) The hypotenuse of a A closed rectangular container with a square base is to have a volume of 4394 in^3. Aug 30, 2020 · This textbook answer is only visible when subscribed! Please subscribe to view the answer A rectangular box with square base and a fixed volume VVis to be made from two types of material. It is given that the volume of the tank is 500 m3. VIDEO ANSWER: Okay, the volume is x squared y is equal to 2000 cubic centimeters, and then the cost is twice for the top and bottom, and then once for the sides. mail, the width of the box and the perimeter of one of the (nonsquare) sides of the box can sum to no more than 108 in. 00 per sq inch and the material for the sides ; A closed rectangular container with a See Details for more. Example 4. Let x be the length of each edge of the base and y be the height. The top and all four sides of the container are to be made of material that costs $2/ft2, and the bottom is to be made of material that costs $3/ft2. dy/dx = Question Help: Video Message instructor N7. a) Show that the surface area of the tank, A m2, is given by A x 2 2000 x = + . If the Aug 24, 2020 · A closed rectangular container with a square base is to have a volume of $2250 \mathrm{in}^{3}$. com [FREE] A closed rectangular container with a square base is to have a volume of 2250 \, \text{in}^3. If the surface area of the rectangular box is 90 square feet, find da dy dr 5 feet and y= 2 feet. The material for the top and bottom of the container will cost $4 per in^2, and the material for the sides will cost $2 per in^2. S(x,y) (2x2 + 4xy b. c) Find the minimum value for A, fully justifying the fact that it is the A closed rectangular container with a square base is to have a volume of 2000 in . Question: 3. A closed rectangular container with a square base is to have a volume of $2000 \mathrm{cm}^{3} . : x = 15 (length of the square base) y = 10 (height) Consider a closed rectangular box with a square base with side length x and height y. If the volume is to be [{MathJax fullWidth='false' 32}] cubic inches, what; A closed rectangular container with a square base is to have a volume of 3000 cubic in. What should the height h and base length b of the box be so as to maximize its volume? A closed rectangular container with a square base is to have a volume of 2,250 cubic inches. A closed rectangular box with a square base and a volume of 12 cubic feet is to be constructed from two different types of materials. A closed rectangular container with a square base is to have a volume of 2250 cubic inches. Its surface area is 1000 cm2. Find step-by-step Calculus solutions and the answer to the textbook question A closed rectangular container with a square base is to have a volume of 2250 in³. The square base is of length x metres and its height is h metres. The surface area of the box described is A=x^2 +4xh We need A as a function of x alone, so we'll use the fact that V=x^2h = 32,000 A closed rectangular container with a square base is to have a volume of 2000 cm. If you divide the X squared to A shipping company must design a closed rectangular shipping crate with a square base. Find the dimensions of the A closed rectangular container with a square base is to have a volume of 2000 cubic centimeters. It costs twice as much per square centimeter for the top and bottom as it Nov 22, 2023 · A closed rectangular container with a square base is to have a volume of 2250 cubic inches.
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