A box with an open top is to being created with a square piece of cardboard...

A box with an open top is to being created with a square piece of cardboard 8 inches wide, by cutting four identical squares in each corner. The sides are being folded as well. Find the dimensions of the box that has the largest volume.

Expert Solution

milcah answered 2 years ago

An open-top box is to be made from a 20cm by 30cm piece of cardboard by...

An open-top box is to be made from a 20cm by 30cm piece of cardboard by removing a square from each corner of the box and folding up the flaps on each side. What size square should be cut out of each corner to get a box with the maximum volume?

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Suppose a tin box is to be constructed with a square base, an open top and a volume of 32 cubic inches. The cost of the tin to construct the box is $0.15 per square inch for the sides and $0.30 per square inch for the base. The minimized cost of the tin box is: A. $3.50 B. $$4.82 C. none of the answers D. $9.07 E. $$\$0$$

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A rectangular box with a square base and an open top and a volume of 1ft^3 is to be made. Suppose the material used to build the sides cost $4 per ft^2 and the material used to build the bottom costs $1 per ft^2. Determine the dimensions (i.e. the side-length of the base and the height) of the box that will minimize the cost to build the box. Note: if we let x denote the side-length of the base and...

A 39-inch by 104-inch piece of cardboard is used to make an open-top container by removing...

A 39-inch by 104-inch piece of cardboard is used to make an open-top container by removing a square from each corner of the cardboard and folding up the flaps on each side. What size square should be cut from each corner to get a container with the maximum volume? Enter the area of the square and do not include any units in your answer.

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