A pool table supply company is making a cardboard box to package new
cubes of pool cue chalk. Each cube of chalk is 1 cubic inch. The company
considers all the ways to arrange 16 cubes of the chalk.
16 inches by 1 inch by 1 inch
8 inches by 2 inches by 1 inch
4 inches by 4 inches by 1 inch
4 inches by 2 inches by 2 inches
Which arrangement of chalk would require the most cardboard for the box? How do you know?