Respuesta :

As volume is cube of the length:

V(e) = e^3 

So the rate of change of the volume is or differentiating :

dV/dt = dV/de * de/dt = 3e^2 de/dt = 12 e^2 cm/sec 

when each edge is 5 cm, dV/dt = 12 * 25 = 300 cm^3/sec 
When each edge is 12cm, dV/dt = 12 * 12^2 = 1728 cm^3/sec