The figure given below shows the cross-section of a concrete wall to be constructed. It is 2 m wide at the top, 3.5 m wide at the bottom and its height is 6m, and its length is 400 m. Calculate 2m (i) (ii) The cross-sectional area Volume of concrete in the wall
Answers
Answer:
Area of crossection = A
1
+A
2
A
1
=0.9×5
=4.5m
2
A
2
=
2
1
(1)×5=2.5m
2
Area of crossection = 7m
2
Step-by-step explanation:
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Given :- The figure given below shows the cross-section of a concrete wall to be constructed. It is 2 m wide at the top, 3.5 m wide at the bottom and its height is 6m, and its length is 400 m.
To Find :-
- The cross-sectional area .
- Volume of concrete in the wall .
Solution :-
from image we can see that, the cross-section of a concrete wall is in the shape of a trapezium .
so,
→ Cross section area = Area of trapezium
→ Cross section area = (1/2) * (sum of parallel sides) * height
→ Cross section area = (1/2) * (2 + 3.5) * 6
→ Cross section area = 3 * 5.5
→ Cross section area = 16.5 m²
then,
→ Volume of concrete in the wall = Cross section area * Length
→ Volume of concrete in the wall = 16.5 * 400
→ Volume of concrete in the wall = 6600 m³
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