A contractor is estimating concrete work for a 2,400 square foot slab. The concrete cost is $120 per cubic yard, and the slab is 4 inches thick. What is the material cost for concrete only?
Correct Answer
A) $3,555
Calculate volume: 2,400 sq ft × (4 inches ÷ 12) = 800 cubic feet. Convert to cubic yards: 800 ÷ 27 = 29.63 cubic yards. Cost: 29.63 × $120 = $3,555.
Why This Is the Correct Answer
The correct answer follows the proper sequence of converting square footage to cubic feet by multiplying by thickness in feet, then converting cubic feet to cubic yards by dividing by 27, and finally multiplying by the unit cost. The calculation yields 2,400 × (4/12) = 800 cubic feet, then 800 ÷ 27 = 29.63 cubic yards, and finally 29.63 × $120 = $3,555. This systematic approach ensures accurate volume calculation and cost estimation.
Why the Other Options Are Wrong
Option B: $4,267
This answer likely results from incorrectly calculating the volume or using wrong conversion factors, possibly calculating 26.67 cubic yards instead of 29.63 cubic yards.
Option C: $3,200
This answer suggests an error in the conversion process, possibly multiplying by incorrect factors or failing to properly convert inches to feet before calculating volume.
Memory Technique
Remember '27 magic number' - there are 27 cubic feet in 1 cubic yard (3×3×3). Also remember 'Inches to Feet to Yards' - always convert in this order to avoid mistakes.
Reference Hint
Florida Building Code or construction estimating references - Chapter on concrete work and material calculations, unit conversion tables
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