How many bricks will be required to construct a wall 8 m long, 6 m high and 22.5 cm thick if each brick measures (25 cm x 11.25 cm x 6 cm ) ?
Answers
Question :–
How many bricks will be required to construct a wall of 8 m long, 6 m high and 22.5 cm thick, if each brick measures 25 cm x 11.25 cm x 6 cm ?
To Find :–
The Number of bricks required to construct the wall.
Given :–
Dimensions of the wall :-
- Length = 8 m
- Height = 6 m
- Width = 22.5 m
Dimensions of the Brick :-
- Length = 25 cm
- Breadth = 6 cm
- Height = 11.25 cm
We know :–
Volume of a cuboid :-
Where :-
- V = Volume of the Cuboid.
- l = Length of the Cuboid.
- b = Breadth of the Cuboid.
- h = Height of the Cuboid.
Concept :–
According to the Question , we have to find the no. of bricks required to construct the wall .
So, the volume of one brick divided by the volume of the wall will give the no. of bricks required to build the wall.
Solution :–
Volume of the wall :-
Given :-
- l = 8 m
- b = 6 m
- h = 22.5 cm
Now , let's convert the 8 m and 6 m in cm by multiplying it by 100 , we get :-
- l = 8 m
==> l = (8 × 100) cm
==> l = 800 cm
Hence, the length of the wall is 800 cm.
- b = 6 cm
==> b = (6 × 100) cm
==> b = 600 cm
Hence, the breadth of the wall is 600 cm.
Now , Using the Formula for volume of a Cuboid and by substituting the values in it , we get :-
Hence, the volume of the wall is 10800000 cm³.
Volume of on brick :-
Given :-
- l = 22.5 cm
- b = 11.25 cm
- h = 6 cm
Now , Using the Formula for volume of a Cuboid and by substituting the values in it , we get :-
Hence, the volume of one brick is 1687.5 cm³.
No. of bricks required to construct the wall :-
Hence, the no. of bricks required to build the wall is 6400.
Hope it helps you ❤️❤️❤️
