A wall 15 m long, 30 cm wide and 4 m high is made of bricks, each measuring 22 cm x 12.5 cm x 7.5 cm. If 1/12 of the total volume of the wall consists of mortar, how many bricks are there in the wall?
[Hint: Volume of bricks in the wall= {(1500 30 400) (1500 x 30 x 400)} cm³]
Answers
Answer:
The dimension of the wall are
Length =15m
Breadth =0.3m
Height =4m
We know that
Volume of the wall=1×b×h
By substituting the values
Volume of the wall =15×0.3×4
So we get
Volume of the wall =18 cm
3
It is given that the wall consists of 1/2 mortar
So we get
Volume of one mortar =1/12×18
By division
Volume of mortar 1.5 m
3
So the volume of all = Volume of wall -Volume of mortar
By substituting the values
Volume of wall =18−1.5
By subtraction
Volume of vall =16.5 m
3
Length =22cm=0.22 m
Breadth =12.5 cm=0.125 m
Height =7.5cm=0.075 m
We know that
Volume of one brick =1×b×h
By substituting the values
Volume of one brick =0.22×0.125×0.075
So we get
Volume of one brick =0.0020625 m
3
So the number of bricks = Volume of bricks / Volume of one brick
By substituting the values
Number of bricks =
0.0020625
16.5
So we get
Number of bricks =8000
Therefore, the number of bricks in the wall are 8000.
Step-by-step explanation:
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Answer:
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Step-by-step explanation:
The dimensions of the wall are
Length = 15m
Breadth = 0.3m
Height = 4m
We know that
Volume of the wall = l × b × h
By substituting the values
Volume of the wall = 15 × 0.3 × 4
So we get
Volume of the wall = 18 m3
It is given that the wall consists of 1/12 mortar
So we get
Volume of mortar = 1/12 × 18
By division
Volume of mortar = 1.5 m3
So the volume of wall = Volume of wall – Volume of mortar
By substituting the values
Volume of wall = 18 – 1.5
By subtraction
Volume of wall = 16.5 m3
The dimensions of the brick are
Length = 22cm = 0.22 m
Breadth = 12.5 cm = 0.125 m
Height = 7.5cm = 0.075 m
We know that
Volume of one brick = l × b × h
By substituting the values
Volume of one brick = 0.22 × 0.125 × 0.075
So we get
Volume of one brick = 0.0020625 m3
So the number of bricks = Volume of bricks/ Volume of one brick
By substituting the values
Number of bricks = 16.5/0.0020625
So we get
Number of bricks = 8000
Therefore, the number of bricks in the wall are 8000