Question
Download Solution PDFThe surface area of a cube is increased by 25%. If p is the percentage increase in its length, then which one of the following is correct ?
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFFormula used:
The area of each surface of the cube = (side)2 [each surface of a cube is a square]
Calculation:
Let the initial surface area of the cube = 600
then the initial area of each surface = 100
Initial length of side = √100 = 10 unit
Final Surface area of the cube = 600 × 125/100 = 750
Then the final area of each surface = 125
(Final length)2 = 125
(Final length) = √125
Therefore, according to the question
P = [(√125 - 10)/10] × 100
P = 10(5√5 - 10)
P = 10(5 × 2.236 - 10) = 11.8
∴ 10 < P < 12
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