# An edge of a variable cube is increasing at the rate of 5 cm per second. How fast is the volume increasing when the side is 15 cm?

448 views

closed

An edge of a variable cube is increasing at the rate of 5 cm per second. How fast is the volume increasing when the side is 15 cm?

+1 vote
by (34.6k points)
selected

Let x be the edge of the cube and V be the volume of the cube at any time t.

Given,

$\frac{dt}{dt}=$ 5 cm/s,

x = 15cm

Since we know the volume of cube = (side)3

i.e, V = x3.