An open box is to be made from a square piece of cardboard,36 inches by 36 inches,by removing a small square from each corner and folding up the flaps to form the sides.What are the dimensions of the box of greatest volume that can be constructed in this way?
A)24 inches long by 24 inches wide by 6 inches deep
B)6 inches long by 6 inches wide by 24 inches deep
C)12 inches long by 12 inches wide by 6 inches deep
D)18 inches long by 18 inches wide by 6 inches deep

Question

Quizplus · Accepted Answer

The volume of the box is maximized when the squares removed from each corner are 6 inches on a side, resulting in a box that is 24 inches long, 24 inches wide, and 6 inches deep.

An Open Box Is to Be Made from a Square