CUET · MATHS · PYQ PAPER 2025
The edge of a cube is increasing at a rate of 7 cm/s. The rate of change of area of the cube when its side is 3 cm is:
- A \(525 cm^2 / s\)
- B \(225 cm^2 / s\)
- C \(255 cm^2 / s\)
- D \(252 cm^2 / s\)
Answer & Solution
Correct Answer
(D) \(252 cm^2 / s\)
Step-by-step Solution
Detailed explanation
\(A = 6s^2\) \(\frac{dA}{dt} = 12s \frac{ds}{dt}\) \(\frac{dA}{dt} = 12(3)(7)\) \(\frac{dA}{dt} = 252 \text{ cm}^2 / \text{s}\)
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