Asked by Brian
All edges of a cube are expanding at the rate of 3 centimeters per second. How fast is the volume chang ing when each edge is (a) 1 centimeter and (b) 10 centimeters?
Answers
Answered by
Reiny
let the edge be x cm long
V = x^3
dV/dt = 3x^2 dx/dt
= 3x^2 (3) = 9x^2 cm^3/s
so when x = 1
dV/dt = 9(1) cm^3/s
do the 2nd part in the same way
V = x^3
dV/dt = 3x^2 dx/dt
= 3x^2 (3) = 9x^2 cm^3/s
so when x = 1
dV/dt = 9(1) cm^3/s
do the 2nd part in the same way
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