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Question
A mason constructs a wall of dimensions (270 cm × 300 cm × 350 cm) with bricks, each of size (22.5 cm × 11.25 cm × 8.75 cm) and it is assumed that `1/8` space is covered by the mortar. Number of bricks used to construct the wall is ______.
Options
11000
11100
11200
11300
Solution
A mason constructs a wall of dimensions (270 cm × 300 cm × 350 cm) with bricks, each of size (22.5 cm × 11.25 cm × 8.75 cm) and it is assumed that `1/8` space is covered by the mortar. Number of bricks used to construct the wall is 11200.
Explanation:
Volume of wall = 270 × 300 × 350 cm3
`"18 th of the wall filled with bricks" = (7/8xx270xx300xx350) "cm"^3`
`"Volume of each brick" = (225/10xx1125/100xx875/100) "cm"^3`
`=((9xx225xx35)/32) "cm"^3`
Number of bricks used to construct the wall `= "Volume of the wall compared of bricks"/"Volume of each brick"`
`=(7xx270xx300xx350xx32)/(8xx9xx225xx35)`
`=11200`
Hence, the number of bricks used to construct the wall is 11200.
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