Making a cube part 3

Geometry Level 1

A cube is to be made from a single unit square of paper. We are allowed to cut and reassemble the paper as much as we want to make a net which is then folded to make the cube. What is the maximum volume, $V$ , of cube we can make?

Let $a$ be the least integer such that $V \ge \frac{1}{a}$ . Enter the value of $a$ .

The answer is 15.

1 solution

Jeremy Galvagni
Sep 12, 2018

The six squares must each have area $\frac{1}{6}$ and side length $\sqrt{\frac{1}{6}}$ so the volume is $\sqrt{\frac{1}{6}}^{3}$ . The reciprical of this is $6^{\frac{3}{2}} \approx 14.7$ so the answer is $\boxed{15}$

Making a cube part 3

The answer is 15.

1 solution

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