Each edge of a cube is increasing at a rate of 3 inches per second. How fast is the volume of the cube increasing when an edge of the cube is 10 inches long?

Question

How do i find the answer using V=e^3

Answer 1

V = x^3

dV/dt = 3x²(dx/dt)

 

when x = 10 & dx/dt = 3, dV/dt = 3(100)(3) cu in per second, or 900 cu in/sec.