A new stretch of road is 9.14 miles long, and is constructed primarily out of asphalt. Each lane is 18.0 feet wide, and the road only consists of two lanes. The average thickness of the asphalt along the road is 5.49 inches. How many cubic meters of asphalt is there in the newly ?
14709 meters long
11 meters wide
.139 meters deep
multiply
To calculate the volume of asphalt in cubic meters, we need to convert all the measurements to the same unit. Let's start by converting the length from miles to meters.
1 mile is approximately equal to 1609.34 meters.
So, the length of the road in meters is:
9.14 miles * 1609.34 meters/mile ≈ 14,728.6 meters
Next, let's convert the width of each lane from feet to meters.
1 foot is equal to 0.3048 meters.
So, the width of each lane in meters is:
18.0 feet * 0.3048 meters/foot = 5.4864 meters
Now, let's calculate the volume of asphalt in cubic meters.
The volume of a rectangular prism can be found using the formula:
Volume = length * width * height
In this case, the length is 14,728.6 meters, the width is 5.4864 meters, and the height (thickness) is 5.49 inches.
To convert the thickness from inches to meters, we need to multiply by a conversion factor:
1 inch is equal to 0.0254 meters.
So, the thickness in meters is:
5.49 inches * 0.0254 meters/inch ≈ 0.139446 meters
Now we can calculate the volume:
Volume = 14,728.6 meters * 5.4864 meters * 0.139446 meters ≈ 1,153.35 cubic meters
Therefore, there are approximately 1,153.35 cubic meters of asphalt in the newly constructed stretch of road.