Brick Quantity Calculation for Wall
This solution explains how to calculate the total number of bricks required for constructing a wall of specified dimensions.
1. Unit Conversion
First, ensure all dimensions are in the same unit. We will use centimeters (cm).
- Wall Length: 40 m = 40 $\times$ 100 = 4000 cm
- Wall Breadth: 80 cm
- Wall Height: 6 m = 6 $\times$ 100 = 600 cm
- Brick Dimensions: Length = 25 cm, Breadth = 5 cm, Height = 20 cm
2. Brick Volume Calculation
Calculate the volume of a single brick ($V_{brick}$).
$V_{brick} = \text{Length} \times \text{Breadth} \times \text{Height}$
$V_{brick} = 25 \text{ cm} \times 5 \text{ cm} \times 20 \text{ cm} = 2500 \text{ cm}^3$
3. Wall Volume Calculation
Calculate the volume of the wall ($V_{wall}$) using its dimensions.
$V_{wall} = \text{Length} \times \text{Breadth} \times \text{Height}$
$V_{wall} = 4000 \text{ cm} \times 80 \text{ cm} \times 600 \text{ cm} = 192,000,000 \text{ cm}^3$
4. Number of Bricks Required
Divide the total volume of the wall by the volume of one brick to find the number of bricks needed.
$Number \, of \, Bricks = \frac{V_{wall}}{V_{brick}}$
$Number \, of \, Bricks = \frac{192,000,000 \text{ cm}^3}{2500 \text{ cm}^3}$
$Number \, of \, Bricks = 76,800$
Result: 76,800 bricks are required.
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