The edge of a cube grows at 2 cm/s. How fast is its volume growing when the edge is 5 cm?

Explanation

1. 01

   $V = a^{3}$, so $\frac{dV}{dt} = 3a^{2}\frac{da}{dt}$.

2. 02

   $3 \times 25 \times 2 = 150$ cm³/s.