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Each edge of a cube expands at 3 cm/s. At the instant the edge is 2 cm, the volume increases at the rate of

A36 cm^3/s
B18 cm^3/s
C24 cm^3/s
D12 cm^3/s
Answer & Solution
Correct answer: A. 36 cm^3/s
V = a^3 gives dV/dt = 3a^2(da/dt) = 3(4)(3) = 36.
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