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If each edge of a cube is increased by 10%, then the percentage increase in its surface area is:
Question

If each edge of a cube is increased by 10%, then the percentage increase in its surface area is:

A.

21%

B.

22%

C.

25%

D.

20%

Correct option is A

Given:
Percentage increase in each edge of the cube = 10%
Formula Used:
Surface area of a cube is proportional to the square of its edge length.
Successive percentage change formula = A + B +A×B100 \frac{A × B}{100}​​
Solution:
Since the surface area involves the product of two equal dimensions (edge × edge), we apply the successive percentage increase formula where A = 10 and B = 10.
Percentage Increase = 10 + 10 + 10×10100 \frac{10 × 10}{100}​​

Percentage Increase = 20 + 100100\frac{100}{100}​​

Percentage Increase = 20 + 1 = 21%
Final Answer
So the correct answer is (a)

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