Precipitation 66874
The total precipitation for one day reached 22mm.
How many hectoliters of water have rained on a rectangular garden measuring 32m and 45m?
How many hectoliters of water have rained on a rectangular garden measuring 32m and 45m?
Correct answer:
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Dr. Math
To calculate the volume of water that rained on the rectangular garden, follow these steps:
- Precipitation: 22 mm .
- Dimensions of the garden: 32 m (length) and 45 m (width).
We need to find the volume of water in hectoliters (hL).
Precipitation is given in millimeters, but the dimensions of the garden are in meters. Convert 22 mm to meters:
The garden is rectangular, so its area is:
Substitute the given dimensions:
The volume of water is the product of the area of the garden and the precipitation:
Substitute the values:
1 cubic meter ( m3 ) is equal to 10 hectoliters ( hL ). Therefore:
The total volume of water that rained on the garden is:
Step 1:
Understand the Given Information- Precipitation: 22 mm .
- Dimensions of the garden: 32 m (length) and 45 m (width).
We need to find the volume of water in hectoliters (hL).
Step 2:
Convert Precipitation to MetersPrecipitation is given in millimeters, but the dimensions of the garden are in meters. Convert 22 mm to meters:
22 mm = 221000 = 0.022 m
Step 3:
Calculate the Area of the GardenThe garden is rectangular, so its area is:
Area = Length × Width
Substitute the given dimensions:
Area = 32 × 45 = 1440 m2
Step 4:
Calculate the Volume of WaterThe volume of water is the product of the area of the garden and the precipitation:
Volume = Area × Precipitation
Substitute the values:
Volume = 1440 × 0.022 = 31.68 m3
Step 5:
Convert Volume to Hectoliters1 cubic meter ( m3 ) is equal to 10 hectoliters ( hL ). Therefore:
Volume in hL = 31.68 × 10 = 316.8 hL
Final Answer:
The total volume of water that rained on the garden is:
316.8 hL
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