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

Printable View

- Aug 4th 2006, 09:07 AMbret80Volume change
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 - Aug 4th 2006, 09:42 AMgalactus
We want when x=10. We know

- Aug 4th 2006, 10:05 AMbret80
whats the difference between dv/dt and dx/dt?

Why multiply 3cm/s times the first derivative of the volume of a cube? - Aug 4th 2006, 10:11 AMgalactus
What do you mean?. I took the derivative of x^{3}, which is 3x^2.

dx/dt=3 - Aug 4th 2006, 11:26 AMThePerfectHackerQuote:

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,