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An edge of a variable cube is increasing at the rate of 3 cm/s

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asked Jan 20, 2018 in Mathematics by sforrest072 (157,439 points) ● 63 ● 451 ● 1305
An edge of a variable cube is increasing at the rate of 3 cm/s. How fast is the volume of the cube increasing when the edge is 10 cm long?

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answered Jan 20, 2018 by mdsamim (213,225 points) ● 5 ● 10 ● 23
selected Jan 20, 2018 by sforrest072
 
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Let x be the length of a side and V be the volume of the cube. Then,

Hence, the volume of the cube is increasing at the rate of 900 cm3/s when the edge is 10 cm long.

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