How many bricks are required for built a wall of length 10 m, height 6 m and width 22.5 cm, if measurement of each bricks is 25 cm x 12 cm x 9 cm ?

Options

A. 4500
B. 4800
C. 5000
D. 5500

Answer

To find out how many bricks are required to build a wall with given dimensions, we will follow these steps:

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

- Length of the wall = 10 m = 10 × 100 = 1000 cm
- Height of the wall = 6 m = 6 × 100 = 600 cm
- Width 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 for the volume of a rectangular prism:

\[ \text{Volume of the wall} = \text{Length} \times \text{Height} \times \text{Width} \]

Substituting the values we have:

\[ \text{Volume of the wall} = 1000 \, \text{cm} \times 600 \, \text{cm} \times 22.5 \, \text{cm} \]

Calculating this gives:

\[ \text{Volume of the wall} = 1000 \times 600 \times 22.5 = 13500000 \, \text{cm}^3 \]

### Step 3: Calculate the volume of a single brick
The dimensions of a brick are given as 25 cm × 12 cm × 9 cm. We can calculate the volume of a single brick using the same formula:

\[ \text{Volume of a brick} = \text{Length} \times \text{Width} \times \text{Height} \]

Substituting the values for the brick:

\[ \text{Volume of a brick} = 25 \, \text{cm} \times 12 \, \text{cm} \times 9 \, \text{cm} \]

Calculating this gives:

\[ \text{Volume of a brick} = 25 \times 12 \times 9 = 2700 \, \text{cm}^3 \]

### 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:

\[ \text{Number of bricks} = \frac{\text{Volume of the wall}}{\text{Volume of a brick}} = \frac{13500000 \, \text{cm}^3}{2700 \, \text{cm}^3} \]

Calculating this gives:

\[ \text{Number of bricks} = \frac{13500000}{2700} = 5000 \]

### Final Answer
The total number of bricks required to build the wall is **5000**.

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