An agricultural field is in the shape of a rectangle of length 20m and width 14m. A pit 6m long, 3m wide and 2.5m deep is dug in a corner of the field and the earth taken out of the pit is spread uniformly over the remaining area of the field. Find the extent to which the level of the field has been raised?

Asked by Farhad Nawaz | 16th Nov, 2010, 06:04: PM

Expert Answer:

Dear Student,
 
The volume of the soil taken out from the pit = 6 x 3 x 2.5 m3 = 45 m3
 
Now, The surface area of the remaining field is = (20 x 14) - (6 x 3) = 280 - 18 = 262 m2
 
When the soil taken out is spread uniformly over the remaining field, height increased will be
 
h = 45 m3/ 262 m2
 
=> h = (45/262) m = (4500/262) cm = 17.17557 cm
 
 
Regards Topperlearning.

Answered by  | 18th Nov, 2010, 07:37: AM

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