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Question

# Water occupies a quater of the capacity of a tank, if the small individual cubes represent unit volume of water, how much air is present in the tank?

A
64
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B
16
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C
48
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D
36
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Solution

## The correct option is C 48We notice that the number of cubes inside the tank are 16 Each cube has a unit volume of water. Therefore, volume of a cube =1 cubic units. ⟹ Volume of water = Number of cubes × volume of a cube =16×1=16 cubic units. Also, the water occupies quater of the capacity of the tank. Thus volume occupied by water =14×V, where V is the volume of the tank. ⟹14×V=16 ∴ Volume of the tank V=4×16=64 units The portion of the tank not occupied by water is occupied by air, ∴ volume of air in the tank =64−16=48 units Option (c.) is correct.

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