Answer:
14400 cm³/s
Step-by-step explanation:
Find the rate of change of volume in terms of edge length, and evaluate the expression for the given conditions.
Rate of change of volume
V = s³ . . . . volume in terms of edge length (s)
dV/dt = 3s²·ds/dt . . . . . . derivative of volume with respect to time
For the given values of s and ds/dt, this is ...
dV/dt = 3(40 cm)²(3 cm/s) = 14400 cm³/s
