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.