A box with a rectangular base is to be constructed of material costing Php 2/sq in for the sides and bottom and Php 3/sq in for the top. If the box is to have a volume of 1,215 in3 and the length of the base is to be twice its width, what dimensions of the box will minimize its cost of construction? What is the minimal cost?

Q: A box with an open top and a square base is to be constructed with a volume of 32, 000 cm^3. Find…

A: Given, Square base, Therefore, l=b=x Let height be h. Therefore, Volume= lbh =x²h Given, Volume=…

Q: We want to construct a box whose base length is three times the base width. The material used to…

A: Solution : We given the volume of the box v = 50 ft2 Cost of material used to build top and bottom…

Q: An oil refinery is located on the north bank of a straight river that is 1 km wide. A pipeline is to…

A:

Q: A box with a rectangular base is to be constructed of material costing Php 2/sq in for the sides and…

A: Let the dimensions be as follows: Let x be the length  and y be the width. height will  be  1215xy…

Q: A rectangular box is to have a square base and a volume of 63 ft3. If the material for the base…

A:

Q: An oil refinery is located on the north bank of a straight river that is 1 km wide . A pipeline is…

A:

Q: A box with a square base and open top must have a volume of 4,000 cm3. Find the dimensions of the…

A: To find the dimensions that minimize area

Q: A rectangular box with no top is to have a square base and a volume of 20 ft. If the material for…

A:

Q: We want to build a box whose base length is 6 times the base width and the box will enclose 20in³.…

A:

Q: A box with a square base and open top must have a volume of 62,500 cm3. Find the dimensions of the…

A: Let the length of the sides of the base= x cm Height = y cm

Q: A pencil cup with a capacity of 80 in^3 is to be constructed in the shape of a rectangular Box with…

A:

Q: A box with a square base and open top must have a volume of 32,000cm^3. Find the dimensions of the…

A: Given Data: The volume of the box is: V=32000 cm3 Let, The side of the square base is x and the…

Q: A can in the shape of a cylinder has a volume of 207 cubic meters. The material of the top and…

A: Let say, the radius of the cylinder is "r" and the height of the cylinder is "h" . Therefore,…

Q: Lone Depot and Homes are two competing home improvement stores. Each claims to provide customers…

A: Notice that the container has square base with length x ft. The height of the container is y ft. The…

Q: A jewelry box with a square base is to be built with silver plated sides, nickel plated bottom and…

A:

Q: A box with a square base and open top must have a volume of4000 cm^3. Find the dimensions of the box…

A:

Q: Lone Depot and Homes are two competing home improvement stores. Each claims to provide customers…

A: Let the dimension of the box be x×x×y. The material for the side cost is $2/ft^2 and material for…

Q: A rectangular box with a volume of 1088 ft° is to be constructed with a square base and top. The…

A: Let   So,  volume=x2y=1088y=1088x2

Q: A small shed is to be built with a volume of 125 ft3 and the cost is to be minimized. The concrete…

A: Let the length of the shed be l ft, width be b ft and height be h ft.Use the volume to find h in…

Q: is located 1 km north of the north bank of a straight river that is 3 km wide. A pipeline is to be…

A:

Q: You are to construct a closed rectangular box with volume 27cm^3. If the base of the box is x by x…

A:

Q: Two different types of flat metal sheets will be cut in appropriate sizes and combined to make an…

A: The answer is in step 2

Q: We want to construct a box whose base length is 3 times the base width. If the box must have a…

A: We know volume of box = length×breadth×height The given volume is 50 ft3  and length is three times…

Q: A rectangular box with a volume of 980 ft is to be constructed with a square base and top. The cost…

A: Given information: The volume of the rectangular box is 980ft3. The rectangular box is square from…

Q: A worker is to construct an open rectangular box with a square base and a volume of 8 ft°. If…

A: Let the height of the rectangular box be h. As the base of this box is a square, let the sides of…

Q: A rectangular box with a volume of 735 ft is to be constructed with a square base and top. The cost…

A: The volume of a rectangular box is the product of its length, width and height. The local extrema of…

Q: .A rectangular storage with a square base has a volume of 100 in³. The top and bottom materials cost…

A: Given: A rectangular storage with square base has volume =100in3 top and bottom  material cost $4…

Q: A box with a square base and open top must have a volume of 100 cm3 . The material for the bottom…

A:

Q: A box with a square base and open top must have a volume of 4,000 cm³. Find the dimensions of the…

A:

Q: A company needs to manufacture cylindrical cans out of tin, each of which must have both a bottom…

A:

Q: An open-top rectangular box is being constructed to hold a volume of 350 in. The base of the box is…

A: Given :  an open top rectangular box is being constructed to hold a volume of 350 in3, the base of…

Q: We want to build a box whose base length is 6 times the base width and the box will enclose 20 in3.…

A:

Q: A rectangular box with a volume of 64 ft is to be constructed with a square base and top. The cost…

A:

Q: what dimensions of the box will minimize its cost of construction? What is the minimal cost?

A: Let l, b, h be the length, breadth, and height of the rectangular box. Then the area of the 4 side…

Q: A box with a square base and open top must have a volume of 42592 cm. We wish to find the dimensions…

A: Let the height of the box is h and the base of the box is square of length x. so the volume of the…

Q: 4. A rectangular open-topped box of height h with a square base of side b has a volume of 4 ft. Two…

A: Here we find b and h to minimize the cost,

Q: A box with a square base and open top must have a volume of 32000 cm³. Find the dimensions of the…

A: To find the dimensions of the box that minimize the amount of material used to construct it.

Q: Lone Depot and Homes are two competing home improvement stores. Each claims to provide customers…

A: For part 1: The objective is to check which companies proposed dimensions are better, i.e. which…

Q: A box with a square base and open top must have a volume of 13,500 cm3. Find the dimensions of the…

A: Topic = Volume

Q: A rectangular page contains 65 cm? of print. The top and bottom margins of the page are each 0.5 cm…

A:

Q: 2). We want to construct a box whose base length is three times the base width. The material used to…

A:

Q: A rectangular box with a volume of 375 ft is to be constructed with a square base and top. The cost…

A:

Q: A rectangular box with a volume of 931 ft° is to be constructed with a square base and top. The cost…

A: Solution is given below:

Q: 11. A box to be build whose base length is 6 times the base width, and the box will be enclosed 20…

A: Given that the base length is the 6 times the base width. Let base width=w Then base length=6w And…

Q: A box with a square base and open top must have a volume of 186624 cm. We wish to find the…

A:

Q: Find the minimum cost of a rectangular box of volume 190 cmwhose top and bottom cost S cents per cm…

A:

Q: A rectangular storage container with an opentop is to have a volume of 10 m. The length of its base…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: box with a square base and open top must have a volume of 32000 cm^3 Find the dimension of the box…

A:

Q: Find the dimensions of a open topped box that maximizes the volume with the constraint that the…

A: We will use Lagranges multiplier method to find dimension of the box .