A box with an open top is to be constructed out of a rectangular piece of...

A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=10 ft and width=11 ft by cutting a square piece out of each corner and turning the sides up. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.

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milcah answered 2 years ago

A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft

A box with an open top is to be constructed out of a rectangular piece of cardboard with dimensions length=9 ft and width=6 ft by cutting a square piece out of each corner and turning the sides up as shown in the picture. Determine the length x of each side of the square that should be cut which would maximize the volume of the box.

Write The MATLAB SCRIPT for: An open-top box is constructed from a rectangular piece of sheet...

Write The MATLAB SCRIPT for: An open-top box is constructed from a rectangular piece of sheet metal measuring 10 by 16 inches. Square of what size (accurate to 10-9 inch) should be cut from the corners if the volume of the box is to be 100 cubic inches? Notes: to roughly estimate the locations of the roots of the equation and then approximate the roots to this equation using Newton Iteration method. Please don't give me the Matlab Commands for...

An open-top rectangular box is to be constructed with 300 in2 of material. If the bottom...

An open-top rectangular box is to be constructed with 300 in2 of material. If the bottom of the box forms a square, what is the largest possible box, in terms of volume, that can be constructed?

An open-top rectangular box is being constructed to hold a volume of 400 in3. The base...

An open-top rectangular box is being constructed to hold a volume of 400 in3. The base of the box is made from a material costing 7 cents/in2. The front of the box must be decorated, and will cost 10 cents/in2. The remainder of the sides will cost 2 cents/in2. Find the dimensions that will minimize the cost of constructing this box. Front width: Depth: Height:

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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.

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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...

An open cardboard box (with no top) is to be constructed so that the width of the box is four times its length.

An open cardboard box (with no top) is to be constructed so that the width of the box is four times its length. The length of the box is labeled x in the picture. You have 100 in2 of cardboard to use. Find the length x and the height y that maximize the volume of the box. (a.) Find a formula for the volume V in terms of x and y. (b) Use the constraint given by the amount of cardboard available...

A box with an open top is to be constructed from a square piece of cardboard, 5 ft wide, by cutting out a square from each of the four comers and bending up the sides

A box with an open top is to be constructed from a square piece of cardboard, 5 ft wide, by cutting out a square from each of the four comers and bending up the sides. Find the largest volume that such a box can have.

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