Each edge of a melting ice cube shrinks at 0.2 cm/min. How fast is its volume changing when the edge is 10 cm?

Explanation

1. 01

   $\frac{dV}{dt} = 3a^{2}\frac{da}{dt}$, with $\frac{da}{dt} = -0.2$.

2. 02

   $3 \times 100 \times (-0.2) = -60$: the volume falls at 60 cm³/min.