A tank internally measuring 150 cm × 120 cm × 100 cm has 1281600 cm^3 of water in it. Porous bricks are placed in the water until the tank -Maths 9th

A tank internally measuring 150 cm × 120 cm × 100 cm has 1281600 cm^3 of water in it. Porous bricks are placed in the water until the tank -Maths 9th
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Answer :

Volume of a brick = 20 cm × 6 cm × 4 cm = 480 cm3.  Water absorbed by one brick = (110×480)(110×480) cm3 = 48 cm3.   Let x bricks be placed in the water.  Then, x bricks absorb 48x cm3 of water.  ∴ Vol. of water + Volume of x bricks – Volume of absorbed water = Volume of water tank  ⇒ 1281600 + 480xx – 48xx = 150 x 120 x 100 ⇒ 432xx = 1800000 – 1281600 = 518400 ⇒ xx = 1200.
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