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Answer :

Given that the dimension of the cistern = 150 × 120 × 110

So, volume = 1980000 cm^{3}

Volume to be filled in cistern = 1980000 - 129600

= 1850400 cm^{3}

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.

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