Which sequence correctly describes how to calculate concrete volume in cubic yards for a rectangular footing?

Which sequence correctly describes how to calculate concrete volume in cubic yards for a rectangular footing?

• A. Multiply length by width by depth to get cubic feet, then divide by 27 to convert to cubic yards
• B. Multiply length by width by depth to get cubic yards directly
• C. Add length, width, and depth
• D. Multiply length by area by depth then multiply by 27

Answer: (A)

Volume of a rectangular footing is found by multiplying length, width, and depth, as long as all dimensions are in the same unit. Using feet gives cubic feet. To express that volume in cubic yards, you convert by dividing by 27, since 1 cubic yard equals 27 cubic feet. So you multiply length by width by depth to get cubic feet, then divide by 27 to get cubic yards. Example: 40 ft long, 20 ft wide, and 1.5 ft deep → 40 × 20 × 1.5 = 1200 ft^3. 1200 ÷ 27 ≈ 44.4 yd^3. If dimensions were in inches, convert to feet first (or convert all dimensions to yards and multiply), because adding dimensions or using a formula with area would not yield a correct volume.

Volume of a rectangular footing is found by multiplying length, width, and depth, as long as all dimensions are in the same unit. Using feet gives cubic feet. To express that volume in cubic yards, you convert by dividing by 27, since 1 cubic yard equals 27 cubic feet. So you multiply length by width by depth to get cubic feet, then divide by 27 to get cubic yards.

Example: 40 ft long, 20 ft wide, and 1.5 ft deep → 40 × 20 × 1.5 = 1200 ft^3. 1200 ÷ 27 ≈ 44.4 yd^3.

If dimensions were in inches, convert to feet first (or convert all dimensions to yards and multiply), because adding dimensions or using a formula with area would not yield a correct volume.