I have a piece of cardboard that is twice as long as it is wide. If I cut a 1-inch by 1-inch square from each corner and fold up the resulting flaps, I get a box with a volume of 40 cubic inches. What are the dimensions of the cardboard?

Question

Quizplus · Accepted Answer

Let the width of the cardboard be x inches. Then, the length of the cardboard is 2x inches.

After cutting the squares from each corner, the height of the box becomes 1 inch. Therefore, the volume of the box is given by:

V = x(2x-2)(x-2) = 40

Solving for x, we get x = 6.

Therefore, the dimensions of the cardboard are 6 inches by 12 inches.

I Have a Piece of Cardboard That Is Twice as Long