Question

A courtyard is 30 meters long and 20 meters broad and is to be paved with bricks of dimensions 15 cm by 10 cm. What will be the number of bricks required?

• A. 25000
• B. 30000
• C. 40000
• D. 35000

Hint:

Always convert larger units to smaller units (meters to cm) to avoid working with decimals. It makes the division much cleaner!

Answer 1

The Correct Option is C

Concept: To find the number of bricks, divide the total area of the floor by the area of a single brick. Note: Ensure all units are the same (either meters or cm).
Step 1: Convert units and calculate the area of the courtyard.
Length = \(30 \text{ m} = 3000 \text{ cm}\).
Breadth = \(20 \text{ m} = 2000 \text{ cm}\).
Area of Courtyard = \(3000 \times 2000 = 6,000,000 \text{ cm}^2\).

Step 2: Calculate the area of one brick.
Area of Brick = \(15 \text{ cm} \times 10 \text{ cm} = 150 \text{ cm}^2\).

Step 3: Calculate the number of bricks.
Number of bricks = \(\frac{6,000,000}{150} = \frac{600,000}{15} = 40,000\).