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Question

The water in a cubical tank of side 10m is transferred to completely fill a cuboidal tank of length 5m and breadth 10m and height 'h' m. The height of the cuboidal tank (in metres) is ___



A

10 m

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B

20 m

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C

30 m

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D

40 m

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Solution

The correct option is C

20 m


Volume of a cube = ​(side)3

Volume of a cuboid = (length) × (breadth) × (height)

In this case Volume of the cube = Volume of the cuboid

So height of the cuboidal tank can be found by equating the two

(side)3=length×breadth×height


(10)3=5×10×height

=1035×10

Height = 20m


Mathematics

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