An agricultural field is in the form 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 earth taken out of the pit is spread uniformly over. The remaining area of the field. The level of the field has raised by________?
Correct answer: C. 17.18cm
- A. 15.16cm
- B. 16.17cm
- C. 17.18cm
- D. 18.19m
Explanation
The pit provides earth with volume 6 m × 3 m × 2.5 m = 45 m3. The field area is 20 m × 14 m = 280 m2, and the remaining area is 280 m2 − (6 m × 3 m) = 262 m2, so the rise is 45 m3 ÷ 262 m2 = 0.1718 m = 17.18 cm. The likely wrong choice is 16.17 cm, caused by subtracting the pit area incorrectly.
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