The "cubic centimeter" is a unit of volume.
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yes, cubic centimeter is a derived unit.
Cubic feet is one unit of measurement of volume, though any cubic unit of measurement (cubic centimeters, cubic yards, ect.) is representative of a volume.
A unit of volume with dimensions 1 unit x 1 unit x 1 unit is called a cubic unit. It represents the volume of a cube where each side measures 1 unit. In the metric system, this unit is commonly referred to as a cubic centimeter (cm^3), while in the imperial system, it is often called a cubic inch (in^3). Cubic units are used to measure the volume of three-dimensional objects.