Convert the following using dimensional analysis.
81 inches to feet
A)6.9 ft
B)962 ft
D)972 ft

Question

Convert the following using dimensional analysis.
81 inches to feet
A)6.9 ft 
B)962 ft 
D)972 ft

Quizplus · Accepted Answer

Dimensional analysis involves setting up a conversion factor with equivalent quantities but different units. In this case, we set up the conversion factor: 1 ft = 12 in. To convert 81 inches to feet, we multiply by this conversion factor:
81 in x (1 ft/12 in) = 6.75 ft
However, the answer choices are in a different format, so we must convert our answer to match. 6.75 ft can be written as 6 ft and 0.75 ft. To convert the decimal part to inches, we multiply by 12:
0.75 ft x 12 in/ft = 9 in
Therefore, our final answer is 6 ft 9 in, or choice C.

Convert the Following Using Dimensional Analysis