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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?
27 cm
25 cm
28 cm
24 cm
Sure! Let’s go through the problem step-by-step:
- Volume of the pit:
The pit is 18 m long, 15 m broad, and 6 m deep.
Volume = 18 m × 15 m × 6 m = 1,620 cubic meters.
- Area of the field:
The field is 90 m long and 75 m broad.
Area = 90 m × 75 m = 6,750 square meters.
- Earth spread over the field:
The earth dug out from the pit is spread evenly over the remaining part of the field.
- Rise in level of the field:
The rise is calculated by dividing the volume of the soil by the area of the remaining field.
Rise = 1,620 m³ / 6,750 m² = 0.24 meters.
Convert meters to centimeters: 0.24 m = 24 cm.
- Conclusion:
- Option:1, 27 cm
- Option:2, 25 cm
- Option:3, 28 cm
- Option:4, 24 cm is the correct answer.
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