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Q.

A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?

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a

4169

b

4170

c

4200

d

4167 

answer is D.

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Detailed Solution

Given, the dimensions of the wall are,
Length l= 10 m,  We know 1 m=100 cm.  ⇒10×100  
⇒  1000 cm
Breadth b = 24 cm,
Height h = 4 m,
⇒4×100cm  
⇒  400 cm
So, volume of wall = l ×  b ×  h.
⇒1000×24×400c m 3  
Given, the dimensions of the brick are,
Length l = 24 cm,
Breadth b = 12 cm,
Height h = 8 cm.
So, volume of bricks= l ×  b ×  h.
⇒24×12×8c m 3  
The number of bricks = Volume of wall Volume of bricks  
⇒ 1000×24×400 24×12×8  
⇒4166.6  
⇒4167  (approx).
The number of bricks required are 4167.
Therefore, the correct option is 4.
 
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A wall of length 10 m was to be built across an open ground. The height of the wall is 4 m and thickness of the wall is 24 cm. If this wall is to be built up with bricks whose dimensions are 24 cm × 12 cm × 8 cm, how many bricks would be required?