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Question

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

A
10 m
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B
20 m
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C
5 m
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D
15 m
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Solution

## The correct option is B 20 mGiven, Solid conversion: Cube to Cuboid Cube: Side of cube, a=10 m Cuboid: length, l=5 m Breadth, b=10 m Height, h Volume of cube =a3 Volume of cuboid =l×b×h The volume will be equal. ∴a3=lbh103=5×10×hh=1035×10 ∴ Height, h=20 m

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