A concrete slab measuring 40 feet by 60 feet with a thickness of 6 inches requires how many cubic yards of concrete?
Correct Answer
B) 44.4 cubic yards
Calculate: 40' × 60' × 0.5' = 1,200 cubic feet. Divide by 27 cubic feet per cubic yard: 1,200 ÷ 27 = 44.4 cubic yards. Always convert inches to feet before calculating volume.
Why This Is the Correct Answer
Option A is correct because the calculation properly converts all measurements to feet first: 40' × 60' × 0.5' (6 inches = 0.5 feet) = 1,200 cubic feet. Then dividing by 27 cubic feet per cubic yard gives 1,200 ÷ 27 = 44.4 cubic yards. This follows the standard concrete volume calculation method used in construction.
Why the Other Options Are Wrong
Option A: 1,440 cubic yards
This answer results from forgetting to convert inches to feet, calculating 40 × 60 × 6 = 14,400, then dividing by 108 (incorrectly using cubic inches conversion). The error is mixing units - you cannot multiply feet by inches directly without proper conversion.
Option C: 3,600 cubic yards
This answer results from multiplying length × width only (40 × 60 = 2,400) and then adding some arbitrary factor, or from completely incorrect unit conversions. It ignores the thickness dimension entirely or uses wrong conversion factors.
Memory Technique
Remember 'ICY 27': Inches to feet, Calculate volume, Yards by dividing by 27. Always convert thickness from inches to feet first (divide by 12), then multiply length × width × thickness for cubic feet, finally divide by 27 for cubic yards.
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