If each edge of a cube is increasing at the constant rate of 4 cm/s. How fast is the volume of the cube increasing when the length x of an edge is

Question

11 cm long?

Answer 1

v = x^3
dv/dx = 3 x^2

dv/dt = dx/dt * dv/dx

dv/dt = 4 * 3(121) cm^3/s