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Answer :
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 of its volume, the volume will be
\(= \ \frac{n}{17} \ × \ 22.5 \ × \ 7.5 \ × \ 6.5 \)
For the condition given in the question,
The volume of n bricks has to be equal to volume absorbed by n bricks + Volume to be filled in cistern
\(\Rightarrow n × 22.5 × 7.5 × 6.5 = 1850400 + \frac{n}{17} × (22.5 × 7.5 × 6.5) \)
Solving this we get,
n = 1792.41
Therefore, 1792 bricks were placed in the cistern.