Question

If the length,breadth and height of a cuboid are increased such that the length is doubled,breadth becomes three times and the height becomes 4 times, find the ratio of the new volume to the old.​

Answer 1

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Answer 2

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If the length,breadth and height of a cuboid are increased such that the length is doubled,breadth becomes three times and the height becomes 4 times, find the ratio of the new volume to the old.

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Let the length, breadth and height of the initial cuboid be l,b, and h respectively.

Therefore, new length = 4l

New breadth = 2b

New height = 31h

Initial Volume = lbh

New Volume = 31×2×4(lbh) = 38lbh