### Brain Teasers

# Wrapping It Up

I need to wrap eight cube-shaped boxes that are four inches on each side. I may wrap them separately, or I may wrap them together in a variety of different shapes and configurations.

In what way should I wrap all the boxes to use the least amount of wrapping paper?

In what way should I wrap all the boxes to use the least amount of wrapping paper?

### Hint

Think of different ways to arrange the boxes for wrapping. The number of box sides to be covered by the wrapping paper determines how much paper is needed.### Answer

To use the smallest amount of wrapping paper, I need to arrange the boxes as a cube.I can wrap the boxes separately; in a long line of eight; as a rectangle made up of two rows of four boxes each; or together as a cube.

Wrapping separately:

48 box sides x 16 square inches per box side = 768 square inches;

Wrapping as a line of eight:

34 box sides x 16 square inches per box side = 544 square inches;

Wrapping as a rectangle:

28 box sides x 16 square inches per box side = 448 square inches;

Wrapping as a cube:

24 box sides x 16 square inches per box side = 384 square inches.

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