Question
A rectangular prism has a square base and the height of the prism is twice the length of each edge of the base. If the edges of the square base are increasing at a rate of 3 in/min. At what rate is the volume of the rectangular prism increasing when the length of each edge of the base is 10 in?
Answers
bobpursley
volume=1/3 s^2*2s=2/3 s^3
dV/dt=2s^2 ds/dt
you are given ds/dt=3in/min
solve for dv/dt
dV/dt=2s^2 ds/dt
you are given ds/dt=3in/min
solve for dv/dt