1. PERFECT CUBES What does that mean?

2. CUBE  We could make a list of “perfect cubes” by thinking of numbers of objects where these objects could be arranged in a cube. For example: 1, 8, 27, 64, or 125, etc. objects could be arranged in the shape of a cube. If one had 27 pennies, those pennies could be arranged in a cube of 3 stacks of 3 rows and 3 columns of pennies. Thus, perfect squares obtain their name.

3. Cubes and Cubic Roots Notice that 27 objects can be arranged into a cube of 3 levels (high) of 3 rows and 3 columns. Note the relationship between the cube and the cube root. 27 is the “perfect cube.” The cube root of 27 is 3. The root gives the dimensions of the cube. The total number of objects in the cube is the perfect cube.