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?

Expert Solution

milcah answered 2 years ago

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.

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

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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...

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.

Suppose a tin box is to be constructed with a square base, an open top and...

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$$

A rectangular box with a square base is to be constructed from material that costs $6/ft2...

A rectangular box with a square base is to be constructed from material that costs $6/ft2 for the bottom, $14/ft2 for the top, and $5/ft2 for the sides. Find the greatest volume of the box if it costs $240.

An open-top rectangular box has a volume of 250 cm 3. The width of the box...

An open-top rectangular box has a volume of 250 cm 3. The width of the box is 5 cm. The cost is $2/ cm 2 for the base and $1/ cm 2 for the other sides. What is the minimum cost for making the box?

A rectangular box with a square base and an open top and a volume of 1ft^3...

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 company plans to design an open top rectangular box with square base having volume 4...

A company plans to design an open top rectangular box with square base having volume 4 cubic inches. Find the dimension of the box so that the amount of materiel required for construction is minimal. (a) Find the dimension of the box so that the amount of materiel required for construction is minimized. (b) What is the minimized material required for the construction?

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