Question

A box with an open top is to be constructed from a square piece of cardboard, 3 feet wide, by cutting out a square from each of the four corners and bending up the sides. Find the largest volume that such a box can have

Answer 1

Answer:

1 cubic feet

Explanation:

A square piece of cardboard 3 feet wide means that the area of this cardboard is 9 square feet.

If a square from each of the four corners is cut the length of each side will be 1 feet.

The white sides will be discarded while the Black will be used to form a Square box with open top. The edges of each square will be 1 feet. In this way the volume of the square will be:

Volume = 1 x 1 x 1 = 1 cubic feet