Hey everyone, I'm stuck on a rate problem
The volume of a cube is increasing at the rate of 1200 cm^3/min at the instant its edges are 20 cm long at what rate are the edges changing at that instant?
Could you please help me out.
the volume, V, of a cube is given by:
$\displaystyle V = x^3$, where $\displaystyle x$ is the side length of the cube, or the length of the edge, as it is called here.
Differentiate implicitly, and plug in all your knowns. then solve for what you want to find (you want to find $\displaystyle \frac {dx}{dt}$ here, in case you didn't know)