All edges of a cube are expanding at a rate of 3 centimeters per second. how fast is the volume changing when each edge is 10 centimeters?

Volume is changing by

Solution:

As per the problem, all edges of the cube are expanding at a rate of

So, =

We also know that the volume ----- (i)

Differentiating the volume from equation (i) we get,

As given in the problem each edge = 10 cm.

Hence,

answer : )

explanation:

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answer:

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explanation:

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