Q. 385.0( 3 Votes )
How many bricks each measuring (25 cm × 11.25 cm × 6 cm) will be required to construct a wall (8 m × 6 m × 22.5 cm)?
Given: Bricks each measuring (25 cm × 11.25 cm × 6 cm)
A wall with dimensions (8 m × 6 m × 22.5 cm)
We know that the Brick and wall are in the shape of a Cuboid.
∴ Volume of a Brick and wall is given by: l × b × h (here l,b,h are the length , breadth, height of the wall and brick)
Let V1 be the volume of the Wall.
∴ V1 = l × b × h = 800 × 600 × 22.5 (∵ 8 m = 800cm and 6 m = 600cm)
⇒ V1 = 10800000 cm3
Let V2 be the volume of a Brick.
∴ V2 = l × b × h = 25 × 11.25 × 6
⇒ V2 = 1687.5 cm3
Let ‘n’ be the number of Bricks required to build the Wall.
∴ V1 = n × V2
10800000 = n × 1687.5
⇒ n = = 6400
∴ n = 6400
That is, 6400 bricks are required to build the wall.
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