If the dimensions are 100 inches long, 200 inches wide, and 3 inches deep, how many cubic yards does this convert to?

If the dimensions are 100 inches long, 200 inches wide, and 3 inches deep, how many cubic yards does this convert to?

• A. 0.8 cubic yards
• B. 1.0 cubic yards
• C. 1.3 cubic yards
• D. 1.5 cubic yards

Answer: (C)

To convert the volume from cubic inches to cubic yards, it's important to start with calculating the volume in cubic inches. The volume of a rectangular prism can be calculated with the formula: Length × Width × Depth. In this case, the dimensions provided are 100 inches long, 200 inches wide, and 3 inches deep. Thus, the calculation is as follows: Volume in cubic inches = 100 inches × 200 inches × 3 inches = 60,000 cubic inches. Next, to convert cubic inches to cubic yards, you need to know the conversion factors. There are 36 inches in a yard, so the volume conversion factor from cubic inches to cubic yards is calculated as follows: 1 cubic yard = 36 inches × 36 inches × 36 inches = 46,656 cubic inches. Next, you divide the total volume in cubic inches by the volume of one cubic yard to find the equivalent volume in cubic yards: 60,000 cubic inches ÷ 46,656 cubic inches/cubic yard ≈ 1.28 cubic yards. This value rounds to approximately 1.3 cubic yards, which correlates with the correct choice. Understanding the conversion of units and how to calculate volume is essential in construction

To convert the volume from cubic inches to cubic yards, it's important to start with calculating the volume in cubic inches. The volume of a rectangular prism can be calculated with the formula: Length × Width × Depth.

In this case, the dimensions provided are 100 inches long, 200 inches wide, and 3 inches deep. Thus, the calculation is as follows:

Volume in cubic inches = 100 inches × 200 inches × 3 inches = 60,000 cubic inches.

Next, to convert cubic inches to cubic yards, you need to know the conversion factors. There are 36 inches in a yard, so the volume conversion factor from cubic inches to cubic yards is calculated as follows:

1 cubic yard = 36 inches × 36 inches × 36 inches = 46,656 cubic inches.

Next, you divide the total volume in cubic inches by the volume of one cubic yard to find the equivalent volume in cubic yards:

60,000 cubic inches ÷ 46,656 cubic inches/cubic yard ≈ 1.28 cubic yards.

This value rounds to approximately 1.3 cubic yards, which correlates with the correct choice. Understanding the conversion of units and how to calculate volume is essential in construction