Cube of 489
2026-02-28 01:25 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-489

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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 useful when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 489.

Cube of 489

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 by itself three times results in a negative number.

The cube of 489 can be written as 489³, which is the exponential form. Or it can also be written in arithmetic form as 489 × 489 × 489.

How to Calculate the Value of Cube of 489

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 methods will help kids to cube numbers faster and more easily without feeling confused or stuck while evaluating the answers.

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of two numbers or quantities 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. 489³ = 489 × 489 × 489

Step 2: You get 116,059,869 as the answer. Hence, the cube of 489 is 116,059,869.

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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 489 into two parts as 400 and 89. Let a = 400 and b = 89, so a + b = 489

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term a³ = 400³ 3a²b = 3 × 400² × 89 3ab² = 3 × 400 × 89² b³ = 89³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(400 + 89)³ = 400³ + 3 × 400² × 89 + 3 × 400 × 89² + 89³

489³ = 64,000,000 + 42,720,000 + 9,501,600 + 704,169

489³ = 116,059,869

Step 5: Hence, the cube of 489 is 116,059,869.

Using a Calculator

To find the cube of 489 using a calculator, input the number 489 and use the cube function (if available) or multiply 489 × 489 × 489. This operation calculates the value of 489³, resulting in 116,059,869. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 4 followed by 8 and 9

Step 3: If the calculator has a cube function, press it to calculate 489³.

Step 4: If there is no cube function on the calculator, simply multiply 489 three times manually.

Step 5: The calculator will display 116,059,869.

Tips and Tricks for the Cube of 489

  • 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 489

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:

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Problem 1

What is the cube and cube root of 489?

Okay, lets begin

The cube of 489 is 116,059,869, and the cube root of 489 is approximately 7.887.

Explanation

First, let’s find the cube of 489.

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 489³ = 116,059,869

Next, we must find the cube root of 489 We know that the cube root of a number ‘x’, such that ∛x = y Where ‘x’ is the given number, and y is the cube root value of the number

So, we get ∛489 ≈ 7.887

Hence, the cube of 489 is 116,059,869, and the cube root of 489 is approximately 7.887.

Well explained 👍

Problem 2

If the side length of the cube is 489 cm, what is the volume?

Okay, lets begin

The volume is 116,059,869 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 489 for the side length: V = 489³ = 116,059,869 cm³.

Well explained 👍

Problem 3

How much larger is 489³ than 400³?

Okay, lets begin

489³ – 400³ = 52,059,869.

Explanation

First, find the cube of 489³, that is 116,059,869

Next, find the cube of 400³, which is 64,000,000

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

116,059,869 – 64,000,000 = 52,059,869

Therefore, 489³ is 52,059,869 larger than 400³.

Well explained 👍

Problem 4

If a cube with a side length of 489 cm is compared to a cube with a side length of 89 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 489 cm is 116,059,869 cm³.

Explanation

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

Cubing 489 means multiplying 489 by itself three times: 489 × 489 = 239,121, and then 239,121 × 489 = 116,059,869.

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

Therefore, the volume of the cube is 116,059,869 cm³.

Well explained 👍

Problem 5

Estimate the cube of 488 using the cube of 489.

Okay, lets begin

The cube of 488 is approximately 115,501,952.

Explanation

First, identify the cube of 489, The cube of 489 is 489³ = 116,059,869.

Since 488 is only slightly less than 489, the cube of 488 will be slightly less than the cube of 489.

Use the approximation: 488³ ≈ 116,059,869 - (3 × 488² × 1)

The cube of 488 is approximately 115,501,952, considering the small difference.

Well explained 👍

FAQs on Cube of 489

1.What are the perfect cubes up to 489?

The perfect cubes up to 489 include numbers like 1, 8, 27, 64, 125, 216, 343, and 512. (Note: 512 is the next perfect cube after 343.)

2.How do you calculate 489³?

To calculate 489³, use the multiplication method: 489 × 489 × 489, which equals 116,059,869.

3.What is the meaning of 489³?

489³ means 489 multiplied by itself three times, or 489 × 489 × 489.

4.What is the cube root of 489?

5.Is 489 a perfect cube?

No, 489 is not a perfect cube because no integer multiplied by itself three times equals 489.

Important Glossaries for Cube of 489

  • Binomial Formula: 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: 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, which equals 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Cube Root: The number that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.

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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.