Calculate the Total Amount Paid for Asphalt Surfacing

What is the total amount paid for asphalt surfacing in the final payment certificate? Include all the necessary steps to calculate it.

Given the data that the total amount paid for asphalt surfacing in the final payment certificate is R 6,199,680, how can we determine this amount?

Total Amount Paid for Asphalt Surfacing: R 6,199,680

To calculate the total amount paid for asphalt surfacing in the final payment certificate, we need to follow these steps:

1. Calculate the total area of asphalt surfacing:
   • The width of each carriageway is 10.40 m.
   • So, the total width of both carriageways is 2 * 10.40 m = 20.80 m.
   • The length of the road is given as 6.50 km, which is equal to 6500 m.
   • Therefore, the total area of asphalt surfacing is 20.80 m * 6500 m = 135,200 m².
2. Calculate the total volume of asphalt required:
   • The thickness of the asphalt overlay is given as 60 mm, which is equal to 0.06 m.
   • So, the total volume of asphalt required is 135,200 m² * 0.06 m = 8,112 m³.
3. Calculate the total mass of asphalt required:
   • The average compacted density of asphalt is given as 2480 kg/m³.
   • Therefore, the total mass of asphalt required is 8,112 m³ * 2480 kg/m³ = 20,130,560 kg.
4. Calculate the total cost of asphalt surfacing:
   • The tendered rate for asphalt surfacing is given as R 45.90 per square meter.
   • Therefore, the total cost of asphalt surfacing is 135,200 m² * R 45.90 = R 6,199,680.

Detailed Explanation:

To determine the total amount paid for asphalt surfacing in the final payment certificate, we need to consider the dimensions of the road and the specifications of the asphalt overlay. The asphalt surfacing is 60 mm thick on a 10.40 m wide carriageway, with a total length of 6.50 km. The average compacted density of asphalt and the tendered rate for the asphalt surfacing are also provided. First, we calculate the total area of asphalt surfacing by multiplying the width of both carriageways by the length of the road. This gives us 135,200 m². Next, we determine the total volume of asphalt required by multiplying the area by the thickness of the overlay, resulting in 8,112 m³. Then, we calculate the total mass of asphalt needed by multiplying the volume by the density of the asphalt, giving us 20,130,560 kg. Finally, we calculate the total cost of asphalt surfacing by multiplying the total area by the tendered rate per square meter, resulting in R 6,199,680.