Perfect Cubes

The video tutorial explores the concept of forming larger cubes using smaller unit cubes. It demonstrates how to determine if a number is a perfect cube by arranging unit cubes and introduces the prime factorization method as an alternative approach. Examples are provided to illustrate the method, showing how to verify if numbers like 1,000 and 1,125 are perfect cubes. The tutorial concludes with exercises to find the smallest number to multiply or divide to achieve a perfect cube.

How many small cubes did Sam use to create the initial larger cube with dimensions 2x2x2?

• 4 cubes

• 8 cubes

• 24 cubes

• 16 cubes

What is the method used to determine if a number is a perfect cube?

• Addition of numbers

• Multiplication of numbers

• Subtraction of numbers

• Prime factorization

Why is 1,000 considered a perfect cube?

• It is an even number

• Its prime factors can be grouped in triples

• It can be divided by 2 and 5

• It is a multiple of 10

What smallest number should 1,125 be multiplied by to become a perfect cube?

• 7

• 2

• 3

• 5

By dividing 6,655 by which number does it become a perfect cube?

• 7

• 5

• 3

• 2