Hi, I'm sure I'm doing something wrong here, I'm coming up with an exorbant amount of rainfall for ONE ROOF in a school. Somehow I don't think that in a drought-prone area it is feasable to expect the following to be true. I am unsure where I'm going wrong but its BUGGING me and I need to get this in tomorrow.
Calculate the annual amount of rainwater that would fall on the multipurpose building and calculate charges if Genesis had to use that amount of water
Monthly amount of rainfall on roof = rainfall mm x area covered
Note: Rainfall mm is taken from Question Nine and Area covered is the area of the roof worked out in Question Eight.
= 117.4 x 9267.84m²
= 117.4 x 85892858.27
= 117.4 x 85892858270mm
= 10083821560898mm
Note: I am now converting the mm amount into m³ and then I will convert this into KL
= 10083821560898÷ 1000
= 100838215608.98m
= ∛100838215608.98
= 4654.36774m³
→ 1KL = 1m³
= 4654.36774KL
Annual amount of rainfall on roof = monthly amount of rainfall on roof x 12
= 4654.36774 x 12
= 55852.41288 KL
Possible Water Charges = Usage Charges + Water Access Charges
Usage Charges = Consumption Charges + Government Bulk Water Charges
Note: Instead of multiplying the unit costs by the monthly water use I am multiplying per annum.
Consumption Charges = Annual Water Consumption x unit cost
= 55852.41288 x $0.62
= $34628.49599
Usage Charges = $34628.49599 + Government Bulk Water Charges
Government Bulk Water Charges = Annual Water Consumption x unit cost
= 44852.41288KL x $1.22
= $54719.94371
Usage Charges = $34628.49599 + $54719.94371
= $89348.4397
Possible Water Charges = $89348.4397 + Water Access Charge
Water Access Charge = Daily Rate x 365
Daily Rate = Net cost on sample bill ÷ bill period
= $38.81 ÷ 84days
≈ $0.46
Water Access Charge = $0.46 x 365
= $167.90
Possible Water Charges = $89348.4397 + $167.90
= $89516.3397
= $89516.34
The Annual cost of the rainfall on the multipurpose building would be approximately $89516.34.
The area of the roof is ridiculous as you convert it.
Okay, am I doing my conversions wrong?
To calculate the annual amount of rainwater that would fall on the multipurpose building, the equation used is:
Monthly amount of rainfall on the roof = rainfall mm x area covered
In this case, the rainfall mm value is taken from Question Nine, and the area covered is calculated in Question Eight. The result should be in millimeters.
Then, to convert the result from millimeters to cubic meters, divide by 1000:
Monthly amount of rainfall on roof (m³) = Monthly amount of rainfall on roof (mm) ÷ 1000
Next, calculate the cube root of the result to convert it into kiloliters (KL):
Monthly amount of rainfall on roof (KL) = ∛Monthly amount of rainfall on roof (m³)
To calculate the annual amount of rainfall on the roof, multiply the monthly amount by 12:
Annual amount of rainfall on roof (KL) = Monthly amount of rainfall on roof (KL) x 12
Now, to calculate the charges, the equation used is:
Possible Water Charges = Usage Charges + Water Access Charges
The usage charges consist of two components: Consumption Charges and Government Bulk Water Charges.
To calculate Consumption Charges, use the equation:
Consumption Charges = Annual Water Consumption x unit cost
Annual Water Consumption is the annual amount of rainfall on the roof obtained in the previous step.
Government Bulk Water Charges can be calculated using the same equation, substituting the unit cost provided.
Usage Charges is the sum of Consumption Charges and Government Bulk Water Charges.
To calculate the Water Access Charge, use the equation:
Water Access Charge = Daily Rate x 365
The Daily Rate can be obtained by dividing the Net cost on the sample bill by the bill period.
Finally, add the Usage Charges and Water Access Charge to get the Possible Water Charges.
In the given calculations, the total annual cost of the rainfall on the multipurpose building is approximately $89,516.34.