## Task 1 - 230811

A cuboid wooden block has a mass of $25 \mathrm{~g}$.

What is the mass of a cuboid wooden block of the same type of wood with four times the edge lengths?
The cuboid has edge lengths $a, b, c$; its volume is thus $V=a b c$.

A cuboid with four times the edge lengths $4 a, 4 b, 4 c$ then has the volume

$$
V^{\prime}=4 a \cdot 4 b \cdot 4 c =64 a b c=64 \mathrm{~V}
$$

Since the mass is proportional to the volume for the same material, the mass of the second wooden block is $64 \cdot 25 \mathrm{~g}=1600 \mathrm{~g}$.