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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?

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4169

4170

4200

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 × 100 c m

⇒

400 cm
So, volume of wall = l

×

×

⇒ 1000 × 24 × 400 c 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

×

×

⇒ 24 × 12 × 8 c m 3

The number of bricks

= V o l u m e of wall V o l u m e 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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