Question -
Answer -
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 being 22.5 cm × 7.5 cm × 6.5 cm?
Solution:
Given that the dimension of the cistern = 150× 120 × 110
So, volume = 1980000 cm3
Volume to be filled in cistern = 1980000 –129600
= 1850400 cm3
Now, let the number of bricks placed be “n”
So, volume of n bricks will be =n×22.5×7.5×6.5
Now as each brick absorbs one-seventeenth ofits volume, the volume will be
= n/(17)×(22.5×7.5×6.5)
For the condition given in the question,
The volume of n bricks has to be equal tovolume absorbed by n bricks + Volume to be filled in cistern
Or, n×22.5×7.5×6.5 =1850400+n/(17)×(22.5×7.5×6.5)
Solving this we get,
n = 1792.41