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the centimeter is smaller
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Yes, as one inch is 2.54 centimeters, a cubic inch is greater than a cubic centimeter. A cubic inch would be (2.54)^3 (2.54 to the power of 3) cubic centimeters, which is about 16.39 cubic centimeters or cm^3.
An inch is larger than a centimeters. There are 2.54 centimeters in an inch.