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How many cubic yards of screenings must be disposed of in a 30-day month from a dumpster that is 6ft tall, 10ft long, and 8ft wide?

  1. 480

  2. 500

  3. 533

  4. 600

The correct answer is: 533

To find the cubic yards of screenings disposed of in a dumpster, first, it’s essential to calculate the volume of the dumpster in cubic feet and then convert that volume into cubic yards. The volume of a rectangular dumpster can be calculated using the formula for volume, which is length × width × height. In this case: - Length = 10 feet - Width = 8 feet - Height = 6 feet Calculating the volume in cubic feet: 10 feet (length) × 8 feet (width) × 6 feet (height) = 480 cubic feet. Next, to convert cubic feet to cubic yards, one must be aware that there are 27 cubic feet in one cubic yard (3 feet × 3 feet × 3 feet). Thus, the conversion process involves dividing the total cubic feet by 27: 480 cubic feet ÷ 27 cubic feet/cubic yard ≈ 17.78 cubic yards. If this dumpster is used over a 30-day month and assumes that the dumpster is emptied completely once a month, you can multiply the cubic yard measurement by the number of months: 17.78 cubic yards/month × 30 days/month = about 533 cubic yards. Thus, the accurate disposal