## 293. Math Puzzle 10/89

A wooden cube has a mass of $5000 \mathrm{~g}$. What is the mass of a cube made of the same material, but with all edges being only $\frac{1}{5}$ of the edge lengths of the first block?
If the edges of the first cuboid are $a, b$ and $c$, then the volume is $V=a b c$. The edges of the smaller body are $\frac{1}{5} a, \frac{1}{5} b$ and $\frac{1}{5} c$.

The volume is therefore: $V=\frac{1}{5} a \cdot \frac{1}{5} b \cdot \frac{1}{5} c=\frac{1}{125} a b c$.

The masses of the two cuboids are in the same ratio. $5000 \mathrm{~g}: 125=40 \mathrm{~g}$.