What is the process to determine the amount of asphalt required for a road overlay project based on specific data provided?
Determining the Amount of Asphalt for Road Overlay
Calculating the amount of asphalt needed for a road overlay project involves several steps based on the given data:
Step 1: Calculate the area of the road that requires the asphalt overlay. The road is a single-carriageway with a width of 10.40 meters, resulting in an area of one carriageway of 6.50 km x 10.40 m = 67.6 m².
Step 2: Since the road has two carriageways, the total area needing overlay is 67.6 m² x 2 = 135.2 m².
Step 3: Determine the volume of asphalt required. The thickness of the asphalt overlay is 60 mm or 0.06 meters. Thus, the volume of asphalt needed is 135.2 m² x 0.06 m = 8.112 m³.
Step 4: Convert the volume of asphalt to tons. The average compacted density of asphalt is 2480 kg/m³ or 2.48 tons/m³, making the asphalt volume 8.112 m³ x 2.48 tons/m³ = 20.118 tons.
Step 5: Calculate the cost of the asphalt. The supplier's rate is R 96.48 per ton, leading to a total cost of R 1944.73 for 20.118 tons of asphalt.
Step 6: The tendered rate for asphalt surfacing is R 45.90 per square meter, resulting in a cost of R 6200.28 for the total area of 135.2 m².
Step 7: Determine the final invoice amount to the contractor by adding the costs of asphalt and asphalt surfacing, which equals R 1944.73 + R 6200.28 = R 8145.01.
Therefore, to complete the road overlay project, the asphalt supplier's final invoice to the contractor would amount to R 8145.01.