Six reinforced masonry pilaster spaces each have a clear grout area of 8 in. by 8 in. and a height of 10 ft. Ignoring waste, what grout volume is required?
Correct Answer
A) 0.99 cy
One pilaster space is 8/12 x 8/12 x 10 = 4.44 cf. Six spaces require 26.67 cf. Dividing by 27 gives 0.99 cy. Other choices come from using only one dimension conversion, fewer spaces, or rounding the cell size down too far.
Why This Is the Correct Answer
One pilaster space is 8/12 x 8/12 x 10 = 4.44 cf. Six spaces require 26.67 cf. Dividing by 27 gives 0.99 cy. Other choices come from using only one dimension conversion, fewer spaces, or rounding the cell size down too far.
Why the Other Options Are Wrong
Option B: 0.49 cy
grout volume, choice a: 0.49 cy is wrong because 0.49 cy equals about 13.23 cf after cubic-yard conversion; the accepted cubic-foot volume is 4.44 cf before dividing by 27 in.
Option C: 0.74 cy
grout volume, choice b: 0.74 cy equals about 19.98 cf after cubic-yard conversion; the accepted cubic-foot volume is 4.44 cf before dividing by 27 in.
Option D: 0.89 cy
grout volume, choice c: 0.89 cy equals about 24.03 cf after cubic-yard conversion; the accepted cubic-foot volume is 4.44 cf before dividing by 27 in.
Memory Technique
Store grout volume with its last math move; nearby answers are usually unfinished versions of 0.99 cy.
Reference Hint
Open Principles and Practices of Commercial Construction, 11th Ed., 2024; use the index entry or section for "Masonry grout volume takeoff" to confirm that One pilaster space is 8/12 x 8/12 x 10 = 4.44 cf.
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