In a cuboid if the length is doubled, height is tripled and breadth remains constant, then how many times does the volume becomes of its initial volume?
A
6
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B
4
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C
5
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D
8
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Solution
The correct option is A 6 Let, the initial length, breadth and height of the cuboid be 'l', 'b' and 'h' respectively. Volume of initial cuboid = lbh ....(i)
length of the cuboid after change = 2l breadth of the cuboid after change = b height of the cuboid after change = 3h Volume of the cuboid after change = 6lbh ....(ii) ∴ Volume of cuboid changes by 6 times.