An open rectangular box is made from a 9 inch by 12 inch piece of cardboard...

An open rectangular box is made from a 9 inch by 12 inch piece of cardboard by cutting squares of side length ? from the corners. Determine the length of the sides of the square which will maximize the volume. (Clearly identify the function in terms of one variable and state the domain, then solve.)

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?

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.

A rectangular box without a lid is to be made from 12 m^2 of cardboard. Find...

A rectangular box without a lid is to be made from 12 m^2 of cardboard. Find the maximum volume of such a box

A rectangular piece of cardboard, whose area is 170 square centimeters, is made into an open...

A rectangular piece of cardboard, whose area is 170 square centimeters, is made into an open box by cutting a 2- centimeter square from each corner and turning up the sides. If the box is to have a volume of 156 cubic centimeters, what size cardboard should you start with?

A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides

A box with an open top is to be constructed from a 10 inch by 16 inch piece of cardboard by cutting squares of equal sides length from the corners and folding up the sides. Find the dimensions of the box of largest volume that can be constructed.

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.

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.

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.

A rectangular box without a lid should be made with 12m2 of cardboard. What are the...

A rectangular box without a lid should be made with 12m2 of cardboard. What are the dimensions of the box that maximize the volume? a.) 2m x 2m x 2m b) 1.54m x 1.54m x 0.77m c) 2m x 2m x 1m d) 4m x 4m x 2m

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...

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