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Sambaran Hazra

· started a discussion

· 1 Months ago

PLEASE PROVIDE DIAGRAMS WHEREVER APPLICABLE FOR BETTER UNDERSTANDING. ONLY FORMULA IS NOT SUFFICIENT FOR PROVIDING SOLUTION TO A QUESTION.

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

Knowledge Expert

· commented

· 1 Months ago

Dear student,

We have inserted the diagram which you required.

Hope it helps.

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