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A tank measures 2 m long 1.6 m wide and ...

A tank measures 2 m long 1.6 m wide and 1m depth water is there up to 0.4 m height .Bricks measuring `25cm xx14cm xx 10 cm` are put in to the tank so that water may come up to the top. Each brick absorbs water equal to `(1)/(7)` th of its own volume
Hopw many bricks will be needed?

Text Solution

Verified by Experts

Let x bricks be needed
volume of x bricks =`xxx0.25xx0.14xx0.1 m^(3)`
volume of water absorbed by bricks
`(1)/(7)xxx0.25xx0.14xx0.1`
Remaining water in the tank `=2xx1.6xx0.4-(1)/(7)xxxxx0.25xx0.14xx0.1`
Now volume of water in tank+volume of x bricks
volume of tank
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