A rectangular tank 1.5 m long, 1.2 m broad and 1.8 m deep ia half full of water. If a brick absorbs 1/15 of its own volume of water. How many bricks 15 cm long, 6 cm broad and 5 cm thick must be put into tank so that water may reach to the top of the tank.
Answers
Given : A rectangular tank 1.5 m long, 1.2 m broad and 1.8 m deep is half full of water. a brick absorbs 1/15 of its own volume of water. bricks 15 cm long, 6 cm broad and 5 cm thick
To Find : How many bricks must be put into tank so that water may reach to the top of the tank.
Solution:
Volume of tank = length * breadth * depth
Volume of tank = 1.5 * 1.2 * 1.8
= 3.24 m³
Tank is half filled = (1/2)3.24 = 1.62 m³
Brick volume = (15/100)(6/100)(5/100) m³
= 450 / 10⁶ m³
a brick absorbs 1/15 of its own volume of water = (450 / 10⁶ )/15
= 30 / 10⁶ m³
Effective volume taken up by a brick = 450 / 10⁶ - 30 / 10⁶ = 420 / 10⁶ m³
Number of bricks = 1.62 / ( 420 / 10⁶)
= 1620 * 1000 / 420
= 3.8571 * 1000
= 3857.1
≈3857 bricks required
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