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How many bricks each measuring $18 cm × 12 cm × 10 cm$ will be required to build a wall $12 m$ long, $6 m$ wide and $4.5 m$ high, when $110$ of its volume is occupied by mortar?

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135

13500

135000

1350000

answer is C.

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Detailed Solution

Given- measure of each brick as

18 cm × 12 cm × 10 cm

.
Measures of the wall,

l = 12 m b = 6 m h = 4.5 m

Volume of wall = l b h = 12 × 6 × 4.5 = 324 m 3 = 324000000 c m 3

[1m=100cm]
According to the given condition,

Volume of mortar = V 110

Volume remained after volume occupied by mortar is removed,

= 324000000 − 32400000010 = 3240000000 − 324000000 10 = 219600000 c m 3

Volume of 1 brick = 18 × 12 × 10 = 2160 c m 3

Let’s assume that n is representing the number of bricks.
Then,

Volume of wall after mortar use  = n Volume of a brick 291600000 = 2160 × n n = 2916000002160 ∴ n = 135000

Thus, 135000 bricks are required to build a wall

12 m

long,

6 m

wide and

4.5 m

high, when

110

of its volume is occupied by mortar.
Hence, option 3 is the correct option.

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