JEE Main 2020 — Application Of Derivatives Question with Solution
From: JEE Main 2020 (Online) 3rd September Evening Slot
Question
If the surface area of a cube is increasing at a
rate of 3.6 cm2/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
10 cm, is :
Choose an option
Show full solutionCorrect option: A
Correct answer
A9
Step-by-step explanation
For cube of side 'a'
A = 6a2 and V = a3
Given
= 3.6
at a = 10
A = 6a2 and V = a3
Given
= 3.6
at a = 10
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