Posted by **Cassy ** on Tuesday, March 9, 2010 at 12:31am.

The edge of a cube is increasing at a rate of 2 inches per minute. At the instant when the volume is 27 cubic inches, how fast is the volume changing? indicate the units of measure. V=x^3

- Calculus -
**FredR**, Tuesday, March 9, 2010 at 4:25am
dx/dt = 2 inches/min

V = x^3

so,

dV/dt = 2^3 = 8 cubic inches/min

- Calculus -
**Reiny**, Tuesday, March 9, 2010 at 7:43am
V = x^3

dV/dt = 3x^2 dx/dt

when V= 27, x = 3, dx/dt = 2

dV/dt = 3(3^2)(2) cubic inches/min

= 54 cubic inches/min

## Answer This Question

## Related Questions

- Calculus - At a certain instant, each edge of a cube is 5 inches long and the ...
- calculus help please - At the instant when the radius of a cone is 3 inches, the...
- calculus - At the instant when the radius of a cone is 3 inches, the volume of ...
- AP calculus AB - At the instant when the radius of a cone is 3 inches, the ...
- AB Calculus - I figured out that part "A" is -3/8, but i can't figure out part 2...
- AP CALC. AB - Please help me with this problem and please walk me through each ...
- calculus - When air expands adiabatically (without gaining or losing heat), its...
- Calculus - A right circular cylinder is changing shape. The radius is decreasing...
- calculus - The volume V of a cube with sides of length x in. is changing with ...
- math - The radius r of a sphere is increasing at the uniform rate of 0.3 inches ...

More Related Questions