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Question

If each edge of a cube is increased by  50%  Find the percentage increase in its surface area .


Options:
A .  110%
B .  115%
C .  120%
D .  125%
Answer: Option D

Let original length of each edge = a

Then, original surface area = 6`a^2`

New edge = (150% of a ) =` ( 150/100 a)` = `(3a)/(2)`

New surface area = `6 xx ((3a)/(2))^2 = 27/2 a^2`

Increase percent in surface area = `(15/2 a^2 xx (1)/(6a^2) xx 100)` % = 125%





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