Q.

An edge of a variable cube is increasing at the rate cm/sec. Then, the state of increase in volume of the cube when the edge is 5 cm long, isē

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answer is 750.

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Detailed Solution

Let edge of the cube be x cm .  Volume of the cube be x3 cm3 Given, dxdt=10 cm/sec Now, v=x3⇒dvdt=3x2dxdt⇒dvdt=325(10)cm3/sec=750 cm3/sec
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An edge of a variable cube is increasing at the rate cm/sec. Then, the state of increase in volume of the cube when the edge is 5 cm long, isē