Massachusetts Hoisting License Practice Test

How many cubic yards are in a block measuring 5 feet by 5 feet by 3 feet?

1. 1.5 cubic yards

2. 2.0 cubic yards

3. 2.77 cubic yards

4. 3.0 cubic yards

The correct answer is: 2.77 cubic yards

To determine the volume of a block measuring 5 feet by 5 feet by 3 feet, we first calculate the volume in cubic feet. The formula for the volume of a rectangular prism is length × width × height. Here: - Length = 5 feet - Width = 5 feet - Height = 3 feet Calculating the volume in cubic feet gives: 5 ft × 5 ft × 3 ft = 75 cubic feet Next, to convert cubic feet to cubic yards, it’s essential to understand that 1 cubic yard equals 27 cubic feet. Therefore, to convert the volume from cubic feet to cubic yards, you divide the volume in cubic feet by 27: 75 cubic feet ÷ 27 cubic feet per cubic yard ≈ 2.77 cubic yards This conversion is crucial, as it allows us to express the volume in terms that are often more useful in construction and landscaping contexts. The choice of 2.77 cubic yards reflects this accurate calculation and conversion from cubic feet to cubic yards, making it the right answer for the question posed.