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Question

# The water in a cubical tank of side 6 m is transferred to completely fill a cuboidal tank of length 2 m, breadth 3 m and height 'h' m. The height of the cuboidal tank (in metres) is ___

A

26 m

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B

46 m

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C

16 m

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D

36 m

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Solution

## The correct option is D 36 m Volume of a cube = ​(side)3 Volume of a cuboid = (length) × (breadth) × (height) So height of cuboidal tank can be found by equating the volume of cube and volume of cuboid. ∴(side)3=length×width×height ∴(6)3=2×3×height ∴height=side3length×breadth =6×6×62×3 ∴ height = 36 m

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