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Question

The water in a cubical tank (whose dimensions are 10 m) is transferred to completely fill a cuboidal tank of length 5m, breadth 10 m, and height h. Then, the height of the cuboidal tank (in metres) is ___

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Solution

Volume of cube = (side)3

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

The volume of the water remains the same regardless of the container it is in. Volume of the cube = Volume of the cuboid.

So, the height of the cuboidal tank can be found by equating both the volumes.

Volume of the cube = Volume of the cuboid

(side)3 = (length) × (breadth) × (height)

height=side3length×breadth


=1035×10

Height = 20 m


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