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Question

A rectangular tank 25 cm long and 20 cm wide contains 4.5 litres of water. When a metal cube is lowered in the tank, the water level rises to height of 11 cm. Find the length of edge of the cube ?

A
15 cm
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B
5 cm
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C
11cm
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D
10 cm
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Solution

The correct option is D 10 cmThe tank is in the shape of a cuboid. Since the tank contains 4.5 litres of water, its volume is 4.5×1000cm3=4500cm3Volume of a cuboid of length l, breadth b and height h =l×b×hHence, 25×20×h=4500h=9cm Hence, height of the water in tank is 9cmIncrease in level of water in the tank after the cube is dropped =11−9=2cmVolume of cube = volume of water displaced =25cm×20cm×2cm=1000cm3Volume of a cube =side3Length of each side of the cube =3√1000=10cm

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