Mathematics
A rectangular field is 112 m long and 62 m broad. A cubical tank of edge 6 m is dug at each of the four corners of the field and the earth so removed is evenly spread on the remaining field. Find the rise in level.
Mensuration
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Answer
Given:
Dimensions of the rectangular field = 112 m x 62 m
Edge of each cubical tank = 6 m
Let h be the rise in level.
Volume of 4 tanks = Volume of the removed earth
4 x Volume of 1 tank = (Area of field - 4 x Area of tank) x Rise in level
⇒ 4 x (6)3 = (112 x 62 - 4 x 62) x h
⇒ 4 x 216 = (6,944 - 4 x 36) x h
⇒ 864 = (6,944 - 144) x h
⇒ 864 = 6,800 x h
⇒ h =
⇒ h = 0.127 m
⇒ h = 12.7 cm
Hence, the rise in level of the field is 12.7 cm.
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