Basic purpose of this lecture is to present on What are Perfect Cubes. To cube a number, just use it in a multiplication 3 times. A perfect cube is the result of multiplying a number three times by itself. a · a · a= a³ We can also say that perfect cubes are the numbers that have exact cube roots. 1, 8, 27, 64, 125, 216, 343, 512, 729, 1,000, 1,331, 1,728, 2,197, 2,744, 3,375. Cube root goes the other direction: 3 cubed is 27, so the cube root of 27 is 3. Two cubes formula are: a³ + b³ = (a + b)(a² – ab + b²) and a³ – b³ = (a – b)(a² + ab + b²).