PERFECT CUBES PERFECT CUBES

What does that mean?What does that mean?

CUBECUBE

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

Cubes and Cubic RootsCubes and Cubic Roots

33 27 3 3 27or

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.