Answer
cm: Unit of length
$cm^2$: Unit of area
$cm^3$: Unit of volume
Work Step by Step
cm: Unit of length (length to the power of 1). This is used to measure perimeter, circumference, radius, diameter, height, side lengths, etc.
$cm^2$: Unit of area (length to the power of 2). This is used to measure areas of circles, squares, and other two-dimensional shapes (or surface areas of three-dimensional shapes).
$cm^3$: Unit of volume (length to the power of 3). This is used to measure volumes of three-dimensional figures (spheres, pyramids, etc).