The edge of a cube expands 3 centimeters per second. In the moment in which each edge has a longitude of 10 cm, the volume changes with a velocity of:
a) 300 cm^3/s
b) 900 cm^3/s
Let me try to explain it diffrently. You need to find what is at when the side is 10 centimeters because that is the instantenous rate of change in volume. But you know that the volume of a cube is:Originally Posted by bret80
Take, the derivative to respect to time, (implictly),
Now, the problem says the side at and the rate which the sides change is thus,