How many bricks will be required for a wall which is 8 m long, 6 m high, and 22.5 cm thick, if each brick measures 25 cm × 11.25 cm × 6 cm?

To find how many bricks are required for the wall, we need to follow these steps:

Step 1: Find the volume of the wall.
The volume of the wall is calculated by multiplying its length, height, and thickness.

Length of the wall = 8 meters
Height of the wall = 6 meters
Thickness of the wall = 22.5 cm = 0.225 meters (converted to meters)
Volume of the wall = Length × Height × Thickness
= 8 m × 6 m × 0.225 m
= 10.8 cubic meters.

Step 2: Find the volume of one brick.
The dimensions of one brick are given as 25 cm × 11.25 cm × 6 cm. First, convert these dimensions into meters:

Length of the brick = 25 cm = 0.25 meters
Width of the brick = 11.25 cm = 0.1125 meters
Height of the brick = 6 cm = 0.06 meters
Now, calculate the volume of one brick: Volume of one brick = Length × Width × Height
= 0.25 m × 0.1125 m × 0.06 m
= 0.0016875 cubic meters.

Step 3: Calculate the number of bricks.
To find the number of bricks required, divide the volume of the wall by the volume of one brick: Number of bricks = Volume of the wall ÷ Volume of one brick
= 10.8 cubic meters ÷ 0.0016875 cubic meters
= 6400 bricks.

Final Answer:
The number of bricks required for the wall is 6400.