We measure length in one direction using standard units. Whether it's feet, meters or light years, it's 1-dimensional. Area is a 2-dimentional concept. It's the distance in one direction and the distance in another direction. Distance times distance is the units times the units, or units squared (units2). We see square centimeters, square feet, or square kilometers as well as other units used to measure this 2-dimentional characteristic. Volume is defined as the amount of space something takes up. Space is a 3-dimensional concept, so a 3-dimensional units are required. You've already guessed that's where cubic inches, cubic centimeters or cubic kilometers (units3) is used to measure this 3-dimentional characteristic.
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Circumference is a linear measure and has no volume - just as a straight line has no volume.
There cannot be an answer. Inches is a length, a linear measure whereas cc is a measure of volume.
A square can't have a circumference. That's only for circles squares have area, volume, or perimeter.
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You cannot. A rectangle is a plane figure with linear measures (length, breadth) and a measure of area but does not have a volume.