Question

A 10 m long, 4 m high and 24 cm thick wall is to be built using bricks having dimensions 25 cm × 12 cm × 8 cm. Number of bricks required is :

• A. 4160
• B. 4000
• C. 4200
• D. 4170

Answer 1

The Correct Option is B

To determine the number of bricks required to build a wall, we start by calculating the volume of the wall and the volume of a single brick. The number of bricks can then be found by dividing the wall's volume by the brick's volume.

Step 1: Calculate the Volume of the Wall

Dimensions of the wall: length = 10 m, height = 4 m, thickness = 24 cm

Convert the wall's dimensions to the same unit (cm) for consistency:

Length = 10 m = 1000 cm

Height = 4 m = 400 cm

Thickness = 24 cm

Volume of the wall = length × height × thickness = 1000 cm × 400 cm × 24 cm = 9600000 cm³

Step 2: Calculate the Volume of a Single Brick

Dimensions of a brick: 25 cm × 12 cm × 8 cm

Volume of a brick = 25 cm × 12 cm × 8 cm = 2400 cm³

Step 3: Calculate the Number of Bricks

Number of bricks = Volume of the wall / Volume of a brick = 9600000 cm³ / 2400 cm³

Number of bricks = 4000

Thus, the number of bricks required is 4000.