If a wall assembly requires R-19 insulation and you install R-13 fiberglass batts plus 1-inch rigid foam board with R-5, what is the total R-value?
Correct Answer
B) R-18
R-values are additive when insulation materials are installed in series. R-13 + R-5 = R-18 total. This assembly would not meet the R-19 requirement and would need additional insulation.
Why This Is the Correct Answer
R-values are additive when insulation materials are installed in series (one after another). The R-13 fiberglass batts and R-5 rigid foam board combine to give a total R-value of R-13 + R-5 = R-18. This is a straightforward addition calculation. The assembly falls short of the required R-19 by one R-value unit.
Why the Other Options Are Wrong
Option A: R-24
R-24 incorrectly suggests the R-values multiply or that there's some bonus effect. This would be R-13 + R-5 + 6 extra, which has no basis in insulation physics. R-values simply add together when materials are in series.
Option C: R-19
R-19 would be the required value, but this assumes the assembly meets the requirement. The actual calculation shows R-13 + R-5 = R-18, which is one R-value short of the R-19 requirement.
Option D: R-13
R-13 only accounts for the fiberglass batts and completely ignores the additional R-5 contribution from the rigid foam board. This fails to recognize that R-values are additive in series installations.
Memory Technique
Remember 'R-values ADD when installed in SERIES' - like adding layers of clothing, each layer adds warmth (R-value) to the total.
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