All edges of a cube are expanding at a rate of 6 centimeters per second. How fast is the volume changing when each edge is (a) 2centimeters and (b) 10 centimeters?

Answer 1

formula for volume of cube (V) = a^3

dx/dt = 6 cm/s

dV/dt= 3a^2 dx/dt

when a = 2

dV/dt =3(2) ^2(6) =72

when a=10? you do this one