Question : If the length and breadth of a cuboid are increased by 7% and 6%, respectively, then the percentage increase in its volume is:
Option 1: 11.20%
Option 2: 13.42%
Option 3: 18.12%
Option 4: 15.25%
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Correct Answer: 13.42%
Solution : Initial length = $l$ New length = $l + 0.07l = 1.07l$ Initial breadth = $b$ New breadth = $b+0.06b = 1.06b$ Initial volume = $v = l\times b\times h$ New volume = $1.07l \times 1.06b \times h = 1.1342 v$ $\therefore$ Percentage increase = $0.1342\times 100 = 13.42$% Hence, the correct answer is 13.42%.
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