Mathematics
The figure (ii) 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 6 m and its length is 400 m. Calculate
(i) the cross sectional area and
(ii) volume of concrete in the wall.
Mensuration
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Answer
Figure (ii) is a trapezium with parallel sides 2 m and 3.5 m
(i) Area of cross section = (sum of parallel sides) × height
= (2 + 3.5) × 6
= × 5.5 × 6
= 5.5 × 3
= 16.5 m2.
Hence, area of cross-section = 16.5 m2.
(ii) Volume of concrete in the wall = Area of cross section × length
= 16.5 × 400
= 6600 m3.
Hence, volume of concrete wall = 6600 m3.
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