Cube of 64
2026-02-28 09:04 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-64

409 Learners

Last updated on August 5, 2025

When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used for comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 64.

Cube of 64

A cube number is a value obtained by raising a number to the power of 3, or by multiplying the number by itself three times. When you cube a positive number, the result is always positive. When you cube a negative number, the result is always negative. This is because a negative number multiplied by itself three times results in a negative number. The cube of 64 can be written as 64³, which is the exponential form. Or it can also be written in arithmetic form as, 64 × 64 × 64.

How to Calculate the Value of Cube of 64

In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube the numbers faster and easier without feeling confused or stuck while evaluating the answers.

  • By Multiplication Method
  • Using a Formula
  • Using a Calculator

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of numbers by combining them through repeated addition. It is a fundamental operation that forms the basis for more complex mathematical concepts.

Step 1: Write down the cube of the given number. 64³ = 64 × 64 × 64

Step 2: You get 262,144 as the answer.

Hence, the cube of 64 is 262,144.

Explore Our Programs

Using a Formula (a³)

The formula (a + b)³ is a binomial formula for finding the cube of a number.

The formula is expanded as a³ + 3a²b + 3ab² + b³.

Step 1: Split the number 64 into two parts.

Let a = 60 and b = 4, so a + b = 64

Step 2: Now, apply the formula

(a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term a³ = 60³ , 3a²b = 3 × 60² × 4 , 3ab² = 3 × 60 × 4² , b³ = 4³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(60 + 4)³ = 60³ + 3 × 60² × 4 + 3 × 60 × 4² + 4³

64³ = 216,000 + 43,200 + 2,880 + 64

64³ = 262,144

Step 5: Hence, the cube of 64 is 262,144.

Using a Calculator

To find the cube of 64 using a calculator, input the number 64 and use the cube function (if available) or multiply 64 × 64 × 64. This operation calculates the value of 64³, resulting in 262,144. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 6 followed by 4

Step 3: If the calculator has a cube function, press it to calculate 64³.

Step 4: If there is no cube function on the calculator, simply multiply 64 three times manually.

Step 5: The calculator will display 262,144.

Tips and Tricks for the Cube of 64

The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.

Common Mistakes to Avoid When Calculating the Cube of 64

There are some typical errors that kids might make during the process of cubing a number. Let us take a look at five of the major mistakes that kids might make:

Download Worksheets

Problem 1

What is the cube and cube root of 64?

Okay, lets begin

The cube of 64 is 262,144 and the cube root of 64 is 4.

Explanation

First, let’s find the cube of 64.

We know that the cube of a number, such that x³ = y

Where x is the given number, and y is the cubed value of that number

So, we get 64³ = 262,144

Next, we must find the cube root of 64

We know that the cube root of a number ‘x’, such that ³√x = y

Where ‘x’ is the given number, and y is the cube root value of the number So, we get ³√64 = 4

Hence, the cube of 64 is 262,144 and the cube root of 64 is 4.

Well explained 👍

Problem 2

If the side length of the cube is 64 cm, what is the volume?

Okay, lets begin

The volume is 262,144 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 64 for the side length: V = 64³ = 262,144 cm³.

Well explained 👍

Problem 3

How much larger is 64³ than 60³?

Okay, lets begin

64³ – 60³ = 46,144.

Explanation

First, find the cube of 64³, that is 262,144

Next, find the cube of 60³, which is 216,000

Now, find the difference between them using the subtraction method.

262,144 – 216,000 = 46,144

Therefore, 64³ is 46,144 larger than 60³.

Well explained 👍

Problem 4

If a cube with a side length of 64 cm is compared to a cube with a side length of 16 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 64 cm is 262,144 cm³

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 64 means multiplying 64 by itself three times: 64 × 64 = 4,096, and then 4,096 × 64 = 262,144.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 262,144 cm³.

Well explained 👍

Problem 5

Estimate the cube 63.9 using the cube of 64.

Okay, lets begin

The cube of 63.9 is approximately 262,144.

Explanation

First, identify the cube of 64.

The cube of 64 is 64³ = 262,144.

Since 63.9 is only a tiny bit less than 64, the cube of 63.9 will be almost the same as the cube of 64.

The cube of 63.9 is approximately 262,144 because the difference between 63.9 and 64 is very small.

So, we can approximate the value as 262,144.

Well explained 👍

FAQs on Cube of 64

1.What are the perfect cubes up to 64?

The perfect cubes up to 64 are 1, 8, 27, and 64.

2.How do you calculate 64³?

To calculate 64³, use the multiplication method, 64 × 64 × 64, which equals 262,144.

3.What is the meaning of 64³?

64³ means 64 multiplied by itself three times, or 64 × 64 × 64.

4.What is the cube root of 64?

5.Is 64 a perfect cube?

Yes, 64 is a perfect cube because 4 multiplied by itself three times equals 64.

Important Glossaries for Cube of 64

  • Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. The formula is used to find the square and cube of a number.
  • Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
  • Exponential Form: It is a way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2 equals 8.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
  • Perfect Cube: A number that can be expressed as the cube of an integer is called a perfect cube.

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

Jaskaran Singh Saluja

About the Author

Jaskaran Singh Saluja is a math wizard with nearly three years of experience as a math teacher. His expertise is in algebra, so he can make algebra classes interesting by turning tricky equations into simple puzzles.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.