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An edge of a variable cube is increasing...

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

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The correct Answer is:
`1500 cm^(3)//s`

`V = x^(3) rArr (dV)/(dt) = 3x^(2).(dx)/(dt) = [3 xx (10)^(2) xx 5] cm^(3)//s`
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RS AGGARWAL-APPLICATIONS OF DERIVATIVES-Exercise 11A
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