Question 59

Logical Reasoning Basic Geometry Hard

In a shower, 5 cm of rain falls. The volume of water that falls on 1.5 hectares of ground is:

(A) 75 cubic meter
(B) 750 cubic meter
(C) 7500 cubic meter
(D) 75000 cubic meter
View Dynamic Solution & Explanation
Correct Solution: Option B

Step-by-step Solution:

Calculating the Volume of Rainfall

To find the volume of water, we use the formula: Volume = Area × Height. The key to this problem is to convert all measurements to the same base unit (meters) before calculating.

1. Convert Units to Meters

We need to convert the given area from hectares to square meters and the height from centimeters to meters.

  • Area Conversion:
    • 1 hectare = 10,000 square meters (m²).
    • Area = 1.5 hectares × 10,000 m²/hectare = 15,000 m².
  • Height Conversion:
    • 1 meter = 100 centimeters.
    • Height = 5 cm / 100 = 0.05 m.

2. Calculate the Volume

Now we multiply the converted area and height to find the volume in cubic meters (m³).

Volume = 15,000 m² × 0.05 m

Volume = 750 m³

Conclusion

The volume of water that falls on the ground is 750 cubic meter.