Answer:To determine the weight of the asphalt needed, first determine the area of the surface to be paved.
Since the shape of the road is a rectangle, use the formula of area of rectangle.
A = Length xx Width
Before plugging-in the values, convert the 2.5 miles to feet in order that the dimension to have same unit.
So,
2.5 mi xx (5280 ft)/(1mi) = 13200ft
Now that the length is in feet, plug-in the values of dimension of the road to the formula of area of rectangle.
A=13200*24
A=316800
Hence, the area to be paved is 316 800 ft^2 .
Next, determine the volume. Use the formula:
V = Area xx thickness
Before substituting the values, convert the thickness to feet in order to have same units.
So,
3 i n xx (1ft)/(12 i n)=0.25ft
Then, substitute the values of the area and thickness to the formula of volume.
V=316800*0.25=79200
Thus, the volume of the asphalt needed is 79200 ft^3.
Next, to determine its weight , multiply that with the given density 1479 pounds per cubic feet (1479 lb/ft^3).
W=79200*1479=117136800
So, the weight is 11 7136 800 lbs.
Then, convert it to tons.
117136800 lbs xx (1t o n)/(2000lbs) = 58568.4 t o n s
Explanation:i did the math
