Q. 73.7( 3 Votes )

The volume of a c

Answer :

Formula Used: Volume of cube = a3 and Surface area of a cube = 6a2

where a is the side of the cube


Let x be the length of an edge of the cube, V be the volume and S be the surface area at any time t. Then,

V = x3 and S = 6x2

Also, given,

Now, putting the value of V from V = x3, we get,


S = 6x2

Differentiating with respect to t, we get,

[using (1)]

Thus, the surface area is increasing at the rate of 3.6 cm2/s.

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