    Question

# The volume of a rectangular block of stone is 10368 m3. If its length, breadth and height are in the ratio 3 : 2 : 1, then its length, breadth and height are

A
12 m, 8 m, 4 m
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B
36 m, 24 m, 12m
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C
9 m, 6 m, 3 m
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D
39 m, 26 m, 13 m
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Solution

## The correct option is B 36 m, 24 m, 12mGiven, length : breadth : height = 3 : 2 : 1 Let the height of block =x m Then, length of block =3x m breadth of block =2x m ∴ Volume of the block of stone =3x×2x×x=6x3 m3 But it is given that volume of the stone = 10368 m3 ⟹ x3=103686=1728 ⟹ x=3√1728 =(12×12×12)13 =(123)13 =12 m Hence, the length of the stone = 3 × 12 = 36 m Breadth of the stone = 2 × 12 = 24 m Height of the stone = 1 ×12 = 12 m  Suggest Corrections  0      Similar questions
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