You cut square corners with side lengths that are whole numbers from a piece of cardboard with dimensions 20 inches by 30 inches. You then fold the cardboard to create a box with no lid. Which of the following dimensions will give you the greatest volume?

A. 12 in. by 22 in. by 4 in.

B. 10 in. by 20 in. by 5 in.

C. 14 in. by 24 in. by 2 in.

D. 10 in. by 24 in. by 6 in.

Question

You cut square corners with side lengths that are whole numbers from a piece of cardboard with dimensions 20 inches by 30 inches. You then fold the cardboard to create a box with no lid. Which of the following dimensions will give you the greatest volume?

A. 12 in. by 22 in. by 4 in.	

B. 10 in. by 20 in. by 5 in.	

C. 14 in. by 24 in. by 2 in.	

D. 10 in. by 24 in. by 6 in.

anonymous · Answer

Here, you can simply multiply the 3 values together and find out that D gives the bigger volume.

Aside, remember that in whatever geometric form, the greatest volume using the same amount of material is ALWAYS the one who has each side length closest to each other. That's why the area of a square is always bigger than any rectangle that has the same perimeter.

anonymous · Answer

ok thanks so much God bless you!!

anonymous · Answer

:)