Volume of Swimming Pool
XAT 2020 · Quantitative Ability & Data Interpretation · Easy · Quantitative Aptitude
A rectangular swimming pool is 50 meters long and 25 meters wide. Its depth is always the same along its width but linearly increases along its length from 1 meter at one end to 4 meters at the other end. How much water (in cubic meters) is needed to completely fill the pool?
- A.
2500
- B.
3125
- C.
3750
- D.
1875
- E.
1250
Answer
B
Explanation
The longitudinal cross-section is a trapezoid of parallel vertical sides 1 m and 4 m, and base 50 m. Area of trapezoid cross-section = . Volume = Cross-section area width = .
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