A 2 ft by 2 ft acoustical ceiling covers 1,760 sf. The order includes 5 percent extra attic stock. What tile count should be ordered?
Correct Answer
A) 462 tiles
Each 2 ft by 2 ft tile covers 4 sf. Base count is 1,760/4 = 440 tiles. Adding 5 percent gives 440 x 1.05 = 462 tiles. Other choices omit attic stock, round down, or add too much.
Why This Is the Correct Answer
Each 2 ft by 2 ft tile covers 4 sf. Base count is 1,760/4 = 440 tiles. Adding 5 percent gives 440 x 1.05 = 462 tiles. Other choices omit attic stock, round down, or add too much.
Why the Other Options Are Wrong
Option B: 440 tiles
acoustical ceiling panels, choice a: 440 tiles is an intermediate from the steps (Base count is 1760/4 = 440 tiles.); the calculation continues to 462 tiles.
Option C: 450 tiles
acoustical ceiling panels, choice b: 450 tiles is wrong because 450 tiles implies about 2.27 percent added to 440; the stated add-on is 5 percent in.
Option D: 500 tiles
acoustical ceiling panels, choice d: 500 tiles implies about 13.64 percent added to 440; the stated add-on is 5 percent in.
Memory Technique
Picture a closeout folder labeled acoustical ceiling panels: finish every operation before accepting 462 tiles.
Reference Hint
Open Principles and Practices of Commercial Construction, 11th Ed., 2024; use the index entry or section for "Acoustical ceiling tile takeoff" to confirm that Each 2 ft by 2 ft tile covers 4 sf.
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