The density of a cube is measured by measuring its mass and the length of its sides. If the maximum errors in the measurement of mass and length are `3% and 2%`, respectively, then find the maximum error in the measurement of the density of cube.

Explanation

To find the maximum error in the measurement of the density of a cube, we can follow these steps:

### Step 1: Understand the formula for density
The density \( \rho \) of a cube is defined as the mass \( m \) divided by the volume \( V \). The volume of a cube with side length \( L \) is given by:
\[ V = L^3 \]
Thus, the formula for density can be written as:
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