Answer to Question #248406 in Calculus for Bman

Question #248406

Find the rate of change of the volume of a cube with respect to its side s when s=10


1
Expert's answer
2021-10-10T18:03:16-0400

Let volume of the cube be denoted by V and side by s

So V = s³

Differentiating with respect to s we get

"\\frac{dV}{ds} = 3s^{2}"

"[\\frac{dV}{ds}]_{s=10}= 3.(10)\u00b2=300"

Therefore the rate of change of volume with respect to its side,s is 300 unit² when s= 10.




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