How many bricks of length 12.5 cm, breadth 7.5 cm and height 5 cm are required to build a wall of length 12.5 m,height 15 m and breadth 0.5
Answers
Answer :-
We are given, dimensions of bricks and dimensions of wall and we are asked that how many bricks are required to build the wall. So,
Number of bricks required to build wall = Volume of wall / Volume of brick
→ Volume of brick = 12.5 × 7.5 × 5
= 468.75 cm³
Volume of brick = 468.75 cm³
→ Volume of wall = 12.5 × 100 × 15 × 100 × 0.5 × 100
= 937.5 × 1000000
Volume of wall = 937500000 cm³
→ Number of bricks required = 937500000 / 468.75
= 2000000
Number of bricks required = 2000000
Given :
Dimensions of Brick :
✰ Length of Brick = 12.5cm
✰ Breadth of Brick = 7.5cm
✰ Height of Brick = 5cm
___________
Dimensions of wall :
✰ Length of wall = 12.5m
✰ Breadth of wall = 15m
✰ Height of wall = 0.5m
To Find :
✰ Number of bricks
Solution :
✰ As in question Length, Breadth and height of a brick and a wall is given. So firstly we will convert dimensions of wall in cm. Then find the Volume of Brick and Wall that is Length × Breadth × Height. After Finding the volume of wall and Brick we Can easily find the number of bricks
Length of wall = 12.5m = 1250cm
Breadth of wall = 15m = 1500cm
Height of wall = 0.5m = 50cm
Volume of Brick = L × B × H
Where,
- Length (L) = 12.5cm
- Breadth (B) = 7.5cm
- Height (H) = 5cm
___________
➤ Volume of Brick = 12.5 × 7.5 × 5
➤ Volume of Brick = 93.75 × 5
➤ Volume of Brick = 468.75 cm
Volume of wall = L × B × H
Where,
- Length (L) = 1250cm
- Breadth (B) = 1500cm
- Height (H) = 50cm
___________
➤ Volume of wall = 1250 × 1500 × 50
➤ Volume of wall = 1875000 × 50
➤ Volume of wall = 93750000cm
Number of Brick required
➤ Volume of Wall/Volume of wall
➤ 93750000/468.75
➤ 200,0000
∴ Number of bricks are 200,0000