If a plumbing plan is scaled at 1:10,000, what is the equivalent volume in m^3 for a catchment area of 10 cm x 20 cm with a rainfall intensity of 100 mm/hr?

If a plumbing plan is scaled at 1:10,000, what is the equivalent volume in m^3 for a catchment area of 10 cm x 20 cm with a rainfall intensity of 100 mm/hr?

• A. 200,000 m^3
• B. 20,000 m^3
• C. 2,000 m^3
• D. 200 m^3

Answer: (A)

To determine the equivalent volume in cubic meters for a catchment area of 10 cm x 20 cm with a rainfall intensity of 100 mm/hr, we first need to find the area and then calculate the volume based on the rainfall. The catchment area can be converted from centimeters to square meters: - Area in cm² = 10 cm * 20 cm = 200 cm² - Since there are 10,000 cm² in 1 m², we convert this: 200 cm² / 10,000 = 0.02 m². Next, we need to calculate the volume of rainwater that would fall on this area during the given intensity of rainfall. The rainfall intensity of 100 mm/hr needs to be converted to meters: - 100 mm = 0.1 m. Now we can calculate the volume of water collected (Volume = Area * Rainfall): - Volume = 0.02 m² * 0.1 m = 0.002 m³. If this is calculated for 1 hour, we can see the volume collected per hour would simply be 0.002 m³, which is equivalent to 2 liters per hour. Next, we recognize the scaling

To determine the equivalent volume in cubic meters for a catchment area of 10 cm x 20 cm with a rainfall intensity of 100 mm/hr, we first need to find the area and then calculate the volume based on the rainfall.

The catchment area can be converted from centimeters to square meters:

• Area in cm² = 10 cm * 20 cm = 200 cm²

• Since there are 10,000 cm² in 1 m², we convert this:

200 cm² / 10,000 = 0.02 m².

Next, we need to calculate the volume of rainwater that would fall on this area during the given intensity of rainfall. The rainfall intensity of 100 mm/hr needs to be converted to meters:

• 100 mm = 0.1 m.

Now we can calculate the volume of water collected (Volume = Area * Rainfall):

• Volume = 0.02 m² * 0.1 m = 0.002 m³.

If this is calculated for 1 hour, we can see the volume collected per hour would simply be 0.002 m³, which is equivalent to 2 liters per hour.

Next, we recognize the scaling