This is the problem I am having...
All edges of a cube are expanding at a rate of 3 centimeters per second. How fast is the volume changing when each edge is
(a) 1 centimeter
(b) 30 centimeters
The equation I am using is
V = S³
This is what I did
dv/dt = 3s² ds/dt
dv/dt = 3 (1)² x 3
dv/dt = 3 x 3
dv/dt = 9
dv/dt = 3s² ds/dt
dv/dt = 3 (30)² x 3
dv/dt = 3 (900) x 3
dv/dt = 2700 x 3
dv/dt = 8100
I am just wondering wheter or not I did this equation right so I can look back over it and find the mistake.