Back To Course

Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

Instructor:
*Mark Boster*

Sometimes in life we need to 'cube' a number, such as when we are trying to find out how many smaller cubes are in a large cube. When we do that, we use multiplication. Read on to find out how!

Antonio was playing with his Rubik's Cube and having a tough time figuring it out. You may be familiar with these plastic puzzle cubes that have different colored squares on them. You have to turn it and try and get all the same colors on each side of the cube. Antonio couldn't figure it out, so he decided to try and build one himself, but he wasn't sure how many small cubes he needed to build. Let's help him!

Antonio found out how many small cubes were on one layer of the Rubik's cube by counting them. He counted three across and three high. He discovered that there were 9 cubes on each layer, because he knew that 3 x 3 = 9. To find out how many cubes were in the whole puzzle, he knew that he needed to multiply not just up and down and across, but also deep, because there were multiple layers. After counting that there were 3 layers, he multiplied 3 x 3 x 3 = 27. There were 27 small cubes in his larger cube.

Doing these kinds of equations is called 'cubing' numbers. When we **cube** a number, we actually multiply the number by itself three times, like this: 3 x 3 x 3. Another way to write this is 3³.

If you needed to cube the number 2, it would be written like this 2³. That means 2 x 2 x 2. Two times two is four, and four times two is eight. So 2³ = 8.

To find out how many small cubes are in a 4 x 4 x 4 cube, we would write 4³. We would start by multiplying 4 x 4 to get 16. Then we would multiply 16 x 4 again and get 64. So, four cubed is 64.

Let's try some other numbers! If we go up one more digit, we find that the cubed numbers sure get large fast. We find that 5³ would be 5 x 5 x 5. Starting out, we see that 5 x 5 = 25. Then we multiply 25 x 5 again to get 125. Five cubed is 125.

What about sixes? 6³ is 6 x 6 x 6 = ? Multiply two sixes (6 x 6 = 36), then the third six (36 x 6 = 216). So 6³ = 216. Another way to say that is six cubed is 216.

Let's try a larger number for fun! How about 10³? That is 10 x 10 x 10. That's going to be a pretty large number. 10 x 10 = 100. Now 100 x 10 = 1000. Wow, ten cubed is 1000!

When we **cube** a number, we multiply it by itself three times. The way we write this equation is 7³, and we read it aloud as 'seven cubed'.

To unlock this lesson you must be a Study.com Member.

Create your account

Are you a student or a teacher?

Already a member? Log In

BackWhat teachers are saying about Study.com

Already registered? Log in here for access

Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.

To learn more, visit our Earning Credit Page

Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.

You are viewing lesson
Lesson
6 in chapter 12 of the course:

Back To Course

Math for Kids23 chapters | 325 lessons

{{courseNav.course.topics.length}} chapters | {{courseNav.course.mDynamicIntFields.lessonCount}} lessons | {{course.flashcardSetCount}} flashcard set{{course.flashcardSetCoun > 1 ? 's' : ''}}

- What is an Abundant Number?
- What is a Base Number?
- What Are Cardinal Numbers? - Definition & Examples 3:06
- What Are Consecutive Numbers? - Definition & Examples 3:22
- Finding the Sum of Consecutive Numbers 4:10
- What is a Cubed Number?
- What Are Figurate Numbers? - Definition & Examples
- What Are Opposite Numbers? - Definition & Examples 2:53
- What Are Rectangular Numbers? - Definition & Examples 3:05
- Like & Unlike Terms
- Is Zero an Integer?
- Is Zero a Natural Number? 2:37
- Sieve of Eratosthenes: Lesson for Kids
- What Are Twin Prime Numbers? 3:22
- Go to Types of Numbers for Elementary School

- Praxis Core Academic Skills for Educators - Combined Test (5752): Study Guide & Test Prep
- Praxis Core Academic Skills for Educators - Mathematics (5733): Study Guide & Practice
- 7th Grade Math: Homeschool Curriculum
- 8th Grade Math: Homeschool Curriculum
- 7th Grade Life Science: Homeschool Curriculum
- MTLE Early Childhood Education: Mathematics Instruction
- Creation of the United States Post-American Revolution
- North American Colonial Settlement by Europeans
- Early Civilizations of America
- Case Law in School Psychology
- Top Blogs for New Homeschool Parents
- CEOE Test Retake Policy
- Study.com Customer Service FAQs: Login, Cost & Support Email
- Study.com Refund: How to Request a Refund from Study.com
- California Real Estate Exam Dates
- How to Study for the FSA Exam
- FSA Test Cost

- Jacobean Era: Lesson for Kids
- The Toleration Act of 1649
- Ellen Ochoa Biography: Lesson for Kids
- Mapping the Physical & Human Characteristics of Texas
- Amazon Rainforest Deforestation: Facts & Statistics
- Mister Owita's Guide to Gardening Discussion Questions
- Investing in Special Type Bonds, Taxable Municipal Securities & Short-Term Obligations
- Quiz & Worksheet - Energy Exchange in Pendulums
- Nigeria's History: Quiz & Worksheet for Kids
- What is Marxism? - Quiz & Worksheet for Kids
- Quiz & Worksheet - Jamaica Ethnic Groups
- Flashcards - Real Estate Marketing Basics
- Flashcards - Promotional Marketing in Real Estate
- ELA Lesson Plans
- What is Cooperative Learning? | Cooperative Learning Guide for Teachers

- College Algebra Remediation
- Strategies for Competitive Advantage
- Environment & Humanity for Teachers: Professional Development
- How to Choose a Career: Guidance Counseling
- SAT Writing Section: Prep & Practice
- Identifying Key Ideas & Details in Texts
- Discrete Probability Distributions Lesson Plans
- Quiz & Worksheet - Protein Formation from Amino Acids
- Quiz & Worksheet - Copolymer Structure & Properties
- Quiz & Worksheet - What is the Dolphin Food Chain?
- Quiz & Worksheet - Abiotic Synthesis of Organic Molecules
- Quiz & Worksheet - End of the Bronze Age & Beginning of the Iron Age

- Five Pillars of the Islamic Faith: Overview, the Quran & Sharia Law
- Antigone Vocabulary
- Georgia Alternative Teacher Certification
- How to Pass a Science Test
- Dolch Sight Words for Second Grade
- Common Core State Standards in Maryland
- How Long is the TABE Test?
- First Grade Math Centers: Idea, Activities & Games
- How to Pass the MPRE Exam
- Homeschooling in Idaho
- Where Can You Meet Other Homeschool Parents?
- Typical MBA Curriculum

- Tech and Engineering - Videos
- Tech and Engineering - Quizzes
- Tech and Engineering - Questions & Answers

Browse by subject