Mathematics
A field is 120 m long and 50 m broad. A tank 24 m long, 10 m broad and 6 m deep is dug any where in the field and the earth taken out of the tank is evenly spread over the remaining part of the field. Find the rise in level of the field.
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Answer
Given:
Field dimensions: Length = 120 m, Breadth = 50 m
Tank dimensions: Length = 24 m, Breadth = 10 m, Depth = 6 m
Total area of the field = 120 × 50 = 6000 m2
Volume of tank = 24 x 10 x 6 = 1440 m3
Area of tank base = 24 × 10 = 240 m2
Remaining area = 6000 − 240 = 5760 m2
Let the rise in level be h meters.
Volume of earth = Remaining area × h
⇒ 1440 = 5760 × h
⇒ h = = 0.25 m = 25 cm
Hence, the rise in level of the field = 0.25 m = 25 cm.
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