Respuesta :
Answer:
To find the number of bricks required for constructing the wall, we can calculate the volume of the wall and the volume of each brick, and then divide the total volume of the wall by the volume of each brick.
Given:
Size of the wall: 92m x 4m x 0.264m
Size of each brick: 2.3m x 1.1m x 0.8m
The volume of the wall = length x width x height
Volume of the wall = 92m x 4m x 0.264m = 97.152 cubic meters
The volume of each brick = length x width x height
Volume of each brick = 2.3m x 1.1m x 0.8m = 2.024 cubic meters
Now, to find the number of bricks required:
Number of bricks = Volume of the wall / Volume of each brick
Number of bricks = 97.152 / 2.024 ≈ 47.99
Since we cannot use a fraction of a brick, we need to round up to the nearest whole number. Therefore, approximately 48 bricks are required to construct the wall of the given size.
Answer:
48 bricks
Step-by-step explanation:
To find the number of bricks required, we can calculate the volume of both the wall and the brick, and then divide the volume of the wall by the volume of one brick.
Volume of the wall:
[tex]\sf \textsf{Volume}_{\textsf{wall}} = \textsf{length} \times \textsf{width} \times \textsf{height} [/tex]
[tex]\sf \textsf{Volume}_{\textsf{wall}} = 92 \, \textsf{m} \times 4 \, \textsf{m} \times 0.264 \, \textsf{m} [/tex]
Volume of one brick:
[tex]\sf \textsf{Volume}_{\textsf{brick}} = \textsf{length}_{\textsf{brick}} \times \textsf{width}_{\textsf{brick}} \times \textsf{height}_{\textsf{brick}} [/tex]
[tex]\sf \textsf{Volume}_{\textsf{brick}} = 2.3 \, \textsf{m} \times 1.1 \, \textsf{m} \times 0.8 \, \textsf{m} [/tex]
Number of bricks required:
[tex]\sf \textsf{Number of bricks} = \dfrac{\textsf{Volume}_{\textsf{wall}}}{\textsf{Volume}_{\textsf{brick}}} [/tex]
Now, substitute the values and calculate:
[tex]\sf \textsf{Number of bricks} = \dfrac{(92 \, \textsf{m} \times 4 \, \textsf{m} \times 0.264 \, \textsf{m})}{(2.3 \, \textsf{m} \times 1.1 \, \textsf{m} \times 0.8 \, \textsf{m})} [/tex]
[tex]\sf \textsf{Number of bricks} =\dfrac{97.152 \textsf{m}^3}{ 2.024 \textsf{m}^3}[/tex]
[tex]\sf \textsf{Number of bricks} = 48 [/tex]
Therefore, the number of bricks required for constructing a wall is 48 bricks.