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Rate of Change of Quantities

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3 weeks ago

Rate of Change of Quantities Class 12th

If the surface area of a cube is increasing at a rate of 4.8cm²/sec. retaining its shape, then the rate of change of its volume (in cm³/sec.) when the length of a side of the cube is 15 cm is:
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R
Raj Pandey

Contributor-Level 9

TSA  of cube = 6 a 2

d d t 6 a 2 = 4.8 ; 12 a d a d t = 4.8 ; a d a d t = 0.4 ; d v d t = d d t a 3 ⇒ 3 a a d a d t

3 * 15 * 0.4 = 3 * 15 * 04 10 ⇒ 18

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