Final answer:
To calculate the amount of hot-mix needed for the parking lot, multiply the length, width, and depth together to get the volume in cubic inches. Then, convert the volume to cubic feet and multiply by the material weight to get the weight in pounds. Finally, divide the weight in pounds by 2000 to convert to tons.
Step-by-step explanation:
To calculate the amount of hot-mix needed for the parking lot, we need to find the volume of the parking lot and then convert it to tons using the material weight. First, convert the measurements from feet to inches: 400 feet = 4800 inches and 45.5 feet = 546 inches. Next, multiply the length, width, and depth together to get the volume in cubic inches: 4800 x 546 x 3 = 7,887,600 cubic inches. Then, divide the volume by 1728 (since there are 1728 cubic inches in a cubic foot) to get the volume in cubic feet: 7,887,600 / 1728 = 4562.5 cubic feet. Finally, multiply the volume in cubic feet by the material weight of 140 pounds per cubic foot to get the weight in pounds: 4562.5 x 140 = 639,750 pounds. To convert pounds to tons, divide the weight in pounds by 2000 (since there are 2000 pounds in a ton): 639,750 / 2000 = 319.88 tons.