An edge of a variable cube is increasing at the rate of 10 cm/sec. How fast the volume of the cube will increase when the edge is 5 cm long

1) 750 cm3/sec

2) 75 cm3/sec

3) 300 cm3/sec

4) 150 cm3/sec

5) 25 cm3/sec

Solution: (1) 750 cm3/sec

dx / dt = 10

V = x3

dV / dt = 3x2 (dx / dt)

= 3 * 52 (10)

= 750 cm3 / second

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