How many bricks, each measuring 25 cm x 11.25 cm x 6 cm, will be needed to build a wall of 8 m x 6 m x 22.5 cm?

Problem Restatement

Compute the number of identical bricks required to fill the volume of a wall.

Given data

• Brick size = 25 cm × 11.25 cm × 6 cm
• Wall size = 8 m × 6 m × 22.5 cm

Concept / Approach

Number of bricks = (Volume of wall) ÷ (Volume of one brick). Use consistent units (convert metres to centimetres).

Step-by-step calculation

Convert wall dimensions: 8 m = 800 cm; 6 m = 600 cm; thickness = 22.5 cmWall volume = 800 × 600 × 22.5 = 10,800,000 cm^3Brick volume = 25 × 11.25 × 6 = 1687.5 cm^3Number of bricks = 10,800,000 ÷ 1687.5 = 6400

Notes

• Mortar and wastage are ignored as instructed.

Final Answer

Required bricks = 6400.