A field is in the shape of a rectangle of length 90 m and breadth 75 m. In one corner of the field, a pit, which is 18 m long 15 m broad and 6 m deep, has been dug out. The earth taken out of it is evenly spread over the remaining part of the field. Find the rise in the level of the field?
Answer & explanation
Correct answer: option 2
We know that,
Volume = L × B × H
Surface area = L × B
The total area of the field = 90 × 75 = 6750 m2
Area of the pit = 18 × 15 = 270 m2
Remaining area = 6750 - 270 = 6480 m2
The volume of the pit = 18 × 15 × 6 = 1620 m3
The volume of the pit = Volume of the remaining field
= 1620 = 6480 × H
H = 0.25m or 25 cm