Posted by **crystal** on Thursday, February 10, 2011 at 12:25am.

the edge of a cube is increasing at the rate of .05 centimeters per second. in terms of the side of the cube s, what is the rate of change of the volume of the cube, in cm^3/sec

- calculus -
**Reiny**, Thursday, February 10, 2011 at 12:49am
V = s^3

dV/dt = 3s^2 ds/dt

= 3s^2(.05)

= .15 s^2

I don't think your question was complete.

It probably said "what is the rate of change of the volume of the cube, in cm^3/sec, when s = ...."

Sub in the value of the given s into the dV/dt,

otherwise the above answer stands as is.

## Answer this Question

## Related Questions

- math - The edge of a cube is increasing at a rate of .05 cm/s. In terms of the ...
- calculus - the side of a cube is expanding at a constant rate of 2 centimeters ...
- Calculus - At a certain instant, each edge of a cube is 5 inches long and the ...
- Calculus - If each edge of a cube is increasing at the constant rate of 3 cm ...
- math - a cube is expanding and its volume is increasing at the rate 96 cubic ...
- Chemistry - You measure one edge of a cube using a meter stick marked in ...
- Chem (last question, I promise) - You measure one edge of a cube using a meter ...
- Calculus - An ice cube is melting such that the side of the cube is decreasing ...
- calculus - the surface area of a cube is increased from 24 square centimeters to...
- Calculus - The edge of a cube is increasing at a rate of 2 inches per minute. ...

More Related Questions