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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 - Mathematics

MCQ

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

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Solution

11200

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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APPEARS IN

RS Aggarwal Secondary School Class 10 Maths
Chapter 19 Volume and Surface Area of Solids
Multiple Choice Questions | Q 26 | Page 920
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