A cistern, internally measuring 150 cm x 120 cm x 110 cm, has 129600 cu.cm of water in it. Porous bricks are placed in the water until the cistern is full to the brim. Each brick absorbs one-seventeenth of its own volume of water. How many bricks can be put in without overflowing the water, each brick being 22.5 cm x 7.5 cm x 6.5 cm?

Explanation

Total volume of cistern=`150*120*110=1980000cm^3`

Volume of each brick=`225*7.5*6.5=1096.875cm^3`

Net increase in volume of bricks=`1096.875-1/17*1096.875`

`=16/17*1096.875cm^3`

Let n number of bricks put inside cisten without overflowing

`n*16/17*1096.875`

`n=1729.410`

1729 bricks put down inside the cistern without overflowing.