A wall 12 m long. 9 m high and 30 cm thick is to be constructed. How many bricks will be required if all bricks are of the same size of length 24 cm, breadth 18 cm and height 15 cm?

Options

A. 5000
B. 6500
C. 6000
D. 5500

Answer

To solve the problem of how many bricks are required to construct a wall, we will follow these steps:

### Step 1: Calculate the Volume of the Wall
The volume of the wall can be calculated using the formula:
\[ \text{Volume} = \text{Length} \times \text{Height} \times \text{Thickness} \]

Given:
- Length of the wall = 12 m
- Height of the wall = 9 m
- Thickness of the wall = 30 cm = 0.3 m (converted to meters)

Now substituting the values:
\[ \text{Volume of the wall} = 12 \, \text{m} \times 9 \, \text{m} \times 0.3 \, \text{m} \]
\[ \text{Volume of the wall} = 32.4 \, \text{m}^3 \]

### Step 2: Calculate the Volume of One Brick
The volume of one brick can be calculated using the formula:
\[ \text{Volume} = \text{Length} \times \text{Breadth} \times \text{Height} \]

Given:
- Length of the brick = 24 cm = 0.24 m (converted to meters)
- Breadth of the brick = 18 cm = 0.18 m (converted to meters)
- Height of the brick = 15 cm = 0.15 m (converted to meters)

Now substituting the values:
\[ \text{Volume of one brick} = 0.24 \, \text{m} \times 0.18 \, \text{m} \times 0.15 \, \text{m} \]
\[ \text{Volume of one brick} = 0.000648 \, \text{m}^3 \]

### Step 3: Calculate the Number of Bricks Required
To find the number of bricks required, we divide the volume of the wall by the volume of one brick:
\[ \text{Number of bricks} = \frac{\text{Volume of the wall}}{\text{Volume of one brick}} \]

Substituting the values:
\[ \text{Number of bricks} = \frac{32.4 \, \text{m}^3}{0.000648 \, \text{m}^3} \]
\[ \text{Number of bricks} = 50000 \]

### Final Answer
Therefore, the total number of bricks required to construct the wall is **50000 bricks**.

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