Bricks are worth Rs. 750 per 1000 and their length, breadth and height 25cm, 12.5 cm and 7.5 cm respectively. The cost of bricks required to build a wall 200 m long, 1.8 m high and 37.5 cm thick is----

Options

A. Rs. 42,600
B. Rs. 43,200
C. Rs. 40,750
D. Rs. 41,860

Answer

To find the cost of bricks required to build a wall, we will follow these steps:

### Step 1: Calculate the Volume of One Brick
The dimensions of one brick are given as:
- Length = 25 cm
- Breadth = 12.5 cm
- Height = 7.5 cm

The volume \( V \) of one brick can be calculated using the formula:
\[ V = \text{Length} \times \text{Breadth} \times \text{Height} \]
Substituting the values:
\[ V = 25 \, \text{cm} \times 12.5 \, \text{cm} \times 7.5 \, \text{cm} = 2343.75 \, \text{cm}^3 \]

### Step 2: Calculate the Volume of the Wall
The dimensions of the wall are given as:
- Length = 200 m = 20000 cm (since 1 m = 100 cm)
- Height = 1.8 m = 180 cm
- Thickness = 37.5 cm

The volume \( V_w \) of the wall can be calculated using the formula:
\[ V_w = \text{Length} \times \text{Thickness} \times \text{Height} \]
Substituting the values:
\[ V_w = 20000 \, \text{cm} \times 37.5 \, \text{cm} \times 180 \, \text{cm} = 135000000 \, \text{cm}^3 \]

### 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:
\[ \text{Number of Bricks} = \frac{V_w}{V} = \frac{135000000 \, \text{cm}^3}{2343.75 \, \text{cm}^3} \approx 57600 \]

### Step 4: Calculate the Cost of the Bricks
The cost of bricks is given as Rs. 750 per 1000 bricks. Therefore, the cost per brick is:
\[ \text{Cost per Brick} = \frac{750}{1000} = 0.75 \, \text{Rs} \]

Now, the total cost for 57600 bricks is:
\[ \text{Total Cost} = \text{Number of Bricks} \times \text{Cost per Brick} = 57600 \times 0.75 = 43200 \, \text{Rs} \]

### Final Answer
The cost of bricks required to build the wall is Rs. 43,200.

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