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 28 cm `xx` 11.25 cm `xx` 6 cm?

Answer

To find out how many bricks are required for a wall that is 8 m long, 6 m high, and 22.5 cm thick, with each brick measuring 28 cm x 11.25 cm x 6 cm, we can follow these steps:

### Step 1: Convert all measurements to the same unit
We will convert the dimensions of the wall from meters to centimeters.

- Length of the wall = 8 m = 8 × 100 cm = 800 cm
- Height of the wall = 6 m = 6 × 100 cm = 600 cm
- Thickness of the wall = 22.5 cm (already in cm)

### Step 2: Calculate the volume of the wall
The volume of the wall can be calculated using the formula:
\[ \text{Volume of the wall} = \text{Length} \times \text{Height} \times \text{Thickness} \]

Substituting the values:
\[ \text{Volume of the wall} = 800 \, \text{cm} \times 600 \, \text{cm} \times 22.5 \, \text{cm} \]

### Step 3: Calculate the volume of a single brick
The volume of a brick can be calculated using the same formula:
\[ \text{Volume of a brick} = \text{Length} \times \text{Width} \times \text{Height} \]

Substituting the dimensions of the brick:
\[ \text{Volume of a brick} = 28 \, \text{cm} \times 11.25 \, \text{cm} \times 6 \, \text{cm} \]

### Step 4: Calculate the number of bricks required
To find the number of bricks required, we divide the volume of the wall by the volume of a single brick:
\[ \text{Number of bricks} = \frac{\text{Volume of the wall}}{\text{Volume of a brick}} \]

### Step 5: Perform the calculations
1. Calculate the volume of the wall:
\[ \text{Volume of the wall} = 800 \times 600 \times 22.5 = 10800000 \, \text{cm}^3 \]

2. Calculate the volume of a brick:
\[ \text{Volume of a brick} = 28 \times 11.25 \times 6 = 1890 \, \text{cm}^3 \]

3. Calculate the number of bricks:
\[ \text{Number of bricks} = \frac{10800000}{1890} \approx 5714.29 \]

Since we cannot have a fraction of a brick, we round it up to the nearest whole number:
\[ \text{Number of bricks} \approx 5715 \]

### Final Answer:
The number of bricks required for the wall is approximately **5715 bricks**.

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