Michigan Residential Builders License Practice Test

What is the volume in cubic yards for a concrete slab measuring 120 feet by 40 feet and 6 inches thick?

1. 63 cubic yards

2. 67 cubic yards

3. 70 cubic yards

4. 75 cubic yards

The correct answer is: 63 cubic yards

To calculate the volume of a concrete slab in cubic yards, we first need to determine the volume in cubic feet and then convert that volume into cubic yards. The dimensions provided are 120 feet by 40 feet with a thickness of 6 inches. To use consistent units, we convert the thickness of the slab from inches to feet: 6 inches = 0.5 feet Now, we can calculate the volume in cubic feet using the formula for volume, which is length × width × height: Volume = Length × Width × Height Volume = 120 feet × 40 feet × 0.5 feet Volume = 2400 cubic feet Next, we convert cubic feet to cubic yards. Since there are 27 cubic feet in a cubic yard (3 feet × 3 feet × 3 feet), we divide the total volume in cubic feet by 27: Volume in cubic yards = Volume in cubic feet / 27 Volume in cubic yards = 2400 cubic feet / 27 ≈ 88.89 cubic yards This calculation indicates that the answer of 63 cubic yards does not match the correct calculation. The volume of the slab is approximately 88.89 cubic yards, which does not correspond to