How many bricks will be required for constructing a wall which is 16 cm long . 3 m high and 22.5 cm thick , if each bricks measures ` 25 cm xx 11.25 cm xx 6 ` cm ?

Answer

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

### Step 1: Convert all measurements to the same unit
The dimensions of the wall are given as:
- Length = 16 cm
- Height = 3 m = 300 cm (since 1 m = 100 cm)
- Thickness = 22.5 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:
\[ \text{Volume of the wall} = 16 \, \text{cm} \times 300 \, \text{cm} \times 22.5 \, \text{cm} \]

Calculating this:
\[ \text{Volume of the wall} = 16 \times 300 \times 22.5 = 108000 \, \text{cm}^3 \]

### 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

The volume of one brick can be calculated using the formula:
\[ \text{Volume of one brick} = \text{Length} \times \text{Width} \times \text{Height} \]

Substituting the values:
\[ \text{Volume of one brick} = 25 \, \text{cm} \times 11.25 \, \text{cm} \times 6 \, \text{cm} \]

Calculating this:
\[ \text{Volume of one brick} = 25 \times 11.25 \times 6 = 1687.5 \, \text{cm}^3 \]

### Step 4: Calculate the number of bricks required
To find the number of bricks required, we can use the formula:
\[ N = \frac{\text{Volume of the wall}}{\text{Volume of one brick}} \]

Substituting the values:
\[ N = \frac{108000 \, \text{cm}^3}{1687.5 \, \text{cm}^3} \]

Calculating this:
\[ N = 64 \]

### Final Answer
The number of bricks required for constructing the wall is **64 bricks**.

---