How many bricks will be required to construct a wall 8 m long, 6 m high and 22.5 cm thick, if each brick measures
`25 cm xx 11.25 cm xx6 cm ` ?

Options

A. 6400
B. 5600
C. 4600
D. 6500

Answer

To find out how many bricks are required to construct the wall, we need to calculate the volume of the wall and the volume of one brick, and then divide the volume of the wall by the volume of one brick.

### Step 1: Convert all measurements to the same unit
The dimensions of the wall are given in meters and centimeters. We will convert everything to centimeters for consistency.

- Length of the wall = 8 m = 800 cm
- Height of the wall = 6 m = 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 one brick
The dimensions of one brick are given as:
- Length = 25 cm
- Width = 11.25 cm
- Height = 6 cm

Using the same volume formula:
\[ \text{Volume of one brick} = \text{Length} \times \text{Width} \times \text{Height} \]
\[ \text{Volume of one brick} = 25 \, \text{cm} \times 11.25 \, \text{cm} \times 6 \, \text{cm} \]

### Step 4: Calculate the number of bricks required
Now, we can find the number of bricks required by dividing the volume of the wall by the volume of one brick:
\[ \text{Number of bricks} = \frac{\text{Volume of the wall}}{\text{Volume of one brick}} \]

### Step 5: Solve 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 one brick:
\[ \text{Volume of one brick} = 25 \times 11.25 \times 6 = 1687.5 \, \text{cm}^3 \]

3. Now, calculate the number of bricks:
\[ \text{Number of bricks} = \frac{10800000}{1687.5} \approx 6400 \]

Thus, the number of bricks required to construct the wall is **6400 bricks**.