A 44 ft by 28 ft slab will be placed 5 in. thick. Including 6 percent waste, how many cubic yards should be ordered to the nearest tenth?
Correct Answer
A) 20.2 cy
Volume is 44 x 28 x 5/12 = 513.3 cf; 513.3/27 = 19.0 cy; 19.0 x 1.06 = 20.2 cy. Other choices: 19.0 cy omits waste, 21.3 cy uses an excessive waste allowance, and 16.9 cy comes from treating 5 in. as 0.4 ft.
Why This Is the Correct Answer
Volume is 44 x 28 x 5/12 = 513.3 cf; 513.3/27 = 19.0 cy; 19.0 x 1.06 = 20.2 cy.
Why the Other Options Are Wrong
Option B: 19.0 cy
concrete volume, choice b: the answer choice lifts 19.0 cy from the working line 513.3/27 = 19.0 cy.
Option C: 21.3 cy
concrete volume, choice c: 21.3 cy equals about 575.1 cf after cubic-yard conversion; the accepted cubic-foot volume is 513.3 cf before dividing by 27 in.
Option D: 16.9 cy
concrete volume, choice d: 16.9 cy is wrong because 16.9 cy equals about 456.3 cf after cubic-yard conversion; the accepted cubic-foot volume is 513.3 cf before dividing by 27 in.
Memory Technique
Keep a redline beside concrete volume: if one number is skipped, the option drifts away from 20.2 cy.
Reference Hint
Open Principles and Practices of Commercial Construction, 11th Ed., 2024; use the index entry or section for "Concrete quantity takeoff - slab volume" to confirm that Volume is 44 x 28 x 5/12 = 513.3 cf; 513.3/27 = 19.0 cy; 19.0 x 1.06 = 20.2 cy.
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