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 48 cm 25cm 16 cm, how many bricks would be required?
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Given :
Dimensions of Wall :
- Length = 10m = 1000cm
- Thickness = 24cm
- Height = 4m = 400cm
Dimensions of Brick :
- Length = 24cm
- Breadth = 12cm
- Height = 8cm
To Find :
- Number of bricks required to make the wall.
Solution :
✰ Since the wall with all its bricks makes up the space occupied by it, we need to find the volume of the wall, which is nothing but a cuboid.
⠀⠀
⟼ Volume of Wall = L × thickness × H
⟼ Volume of Wall = 1000 × 24 × 400cm³
⠀⠀
⟼ Volume of Brick = L × B × H
⟼ Volume of Brick = 24 × 12 × 8cm³
⠀⠀
⟹ Bricks required for wall :
- Wall's volume / brick's volume
- 1000 × 24 × 400 / 24 × 12 × 8
- 1000 × 400 / 12 × 8
- 1000 × 50 / 12
- 50000 / 12
- 4166.67 { Approx }
Thus , the wall requires 4167 bricks
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