Question

Find the number of bricks, each measuring 24 cm × 12 cm × 8 cm, required to construct a wall 24 m long, 8 meter wide and 60 cm thick, if 10% of the wall is filled with mortar?
1. 45,000
2. 50,000
3. 58,000
4. 60,000

Answer 1

Correct Answer - Option 1 : 45,000

Given:

Measurement of bricks = 24 cm × 12 cm × 8 cm

Measurement of wall = 24m × 8m × 60cm

Formula Used:

The volume of cuboid = Length × Breadth × Height

Number of bricks = Volume of wall/Volume of each brick

Calculation:

1 m = 100 cm

The volume of the wall in that bricks to be used = 2400 × 800 × 60 × 90/100

The volume of bricks = 24 × 12 × 8 

Number of bricks = Volume of wall/Volume of each brick

⇒ Number of bricks = (2400 × 800 × 60 × \(\frac{90}{100}\))/(24 × 12 × 8) 

⇒ Number of bricks = 45,000

∴ Total 45,000 bricks to be used.

The correct option is 1 i.e. 45,000