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Rohan Chaudhary

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· 1 Months ago

explain (Question: 194576.0 )

please explain it with picture

Question:
For a plot of land of 100 m × 80 m, the level is to be raised by spreading the earth from a stack of a rectangular base 10 m × 8 m with vertical section being a trapezium of height 2 m. The top of the stack is 8 m × 5 m. By how many centimetres can the level be raised? 
Options:
A) 3 cm 
B) 2.5 cm 
C) 2 cm 
D) 1.5 cm 
Solution:
Ans: (d) 


The volume of trapezium = \(\cfrac{1}{2}\) (10 + 5) × 8 × 2 = 120 m3

The height of rectangular plot rise = \(\cfrac{120}{100 × 80 }\)  = 1.5 cm

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