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A "10 ft x 6 ft x 22 in" object is not a rectangle; a rectangle is a 2 dimensional shape whereas that is a three dimensional object - it is a cuboid.
To calculate the volume of a "10 ft x 6 ft x 22 in" cuboid you need to work in one unit - either feet or inches:
12 in = 1 ft
⇒ 10 ft x 6 ft x 22 in = 10 ft x 6 ft x (22 ÷ 12) ft
= 110 cu ft
or:
1 ft = 12 in
⇒ 10 ft x 6 ft x 22 in = (10 x 12) in x (6 x 12) in x 22 in
= 190080 cu in
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