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Last updated on May 29th, 2025

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Cube of 589

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When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is useful in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 589.

Cube of 589 for Indonesian Students
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Cube of 589

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 589 can be written as 589³, which is the exponential form. Or it can also be written in arithmetic form as 589 × 589 × 589.

 

cube of 589

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How to Calculate the Value of Cube of 589

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 you cube numbers faster and easier without feeling confused or stuck while evaluating the answers.

 

  1. By Multiplication Method
  2. Using a Formula
  3. Using a Calculator
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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. 589³ = 589 × 589 × 589

 

Step 2: You get 204,303,269 as the answer. Hence, the cube of 589 is 204,303,269.

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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 589 into two parts, as 500 and 89. Let a = 500 and b = 89, so a + b = 589

 

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

 

Step 3: Calculate each term

 

a³ = 500³

 

3a²b = 3 × 500² × 89

 

3ab² = 3 × 500 × 89²

 

b³ = 89³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(500 + 89)³ = 500³ + 3 × 500² × 89 + 3 × 500 × 89² + 89³

 

589³ = 125,000,000 + 66,750,000 + 11,880,500 + 704,969

 

589³ = 204,303,269

 

Step 5: Hence, the cube of 589 is 204,303,269.

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Using a Calculator

To find the cube of 589 using a calculator, input the number 589 and use the cube function (if available) or multiply 589 × 589 × 589. This operation calculates the value of 589³, resulting in 204,303,269. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Enter 589

 

Step 3: If the calculator has a cube function, press it to calculate 589³.

 

Step 4: If there is no cube function on the calculator, simply multiply 589 three times manually.

 

Step 5: The calculator will display 204,303,269.

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Tips and Tricks for the Cube of 589

  • 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.
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Common Mistakes to Avoid When Calculating the Cube of 589

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

Mistake 1

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Incorrect Multiplication

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You might multiply the numbers only twice, i.e., 589 × 589 and not 589 × 589 × 589. Always remember that 589³ = 589 × 589 × 589.

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Solved Examples on Cube of 589

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Problem 1

What is the cube and cube root of 589?

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The cube of 589 is 204,303,269 and the cube root of 589 is approximately 8.368.

Explanation

First, let’s find the cube of 589.

 

We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.

 

So, we get 589³ = 204,303,269

 

Next, we must find the cube root of 589. We know that the cube root of a number 'x' is 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√589 ≈ 8.368

 

Hence, the cube of 589 is 204,303,269 and the cube root of 589 is approximately 8.368.

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Problem 2

If the side length of a cube is 589 cm, what is the volume?

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The volume is 204,303,269 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 589 for the side length: V = 589³ = 204,303,269 cm³.

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Problem 3

How much larger is 589³ than 500³?

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589³ – 500³ = 79,303,269.

Explanation

First, find the cube of 589, which is 204,303,269

 

Next, find the cube of 500, which is 125,000,000.

 

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

 

204,303,269 – 125,000,000 = 79,303,269

 

Therefore, 589³ is 79,303,269 larger than 500³.

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Problem 4

If a cube with a side length of 589 cm is compared to a cube with a side length of 89 cm, how much larger is the volume of the larger cube?

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The volume of the cube with a side length of 589 cm is 204,303,269 cm³.

Explanation

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

 

Cubing 589 means multiplying 589 by itself three times: 589 × 589 = 346,921, and then 346,921 × 589 = 204,303,269.

 

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

 

Therefore, the volume of the cube is 204,303,269 cm³.

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Problem 5

Estimate the cube of 588.9 using the cube of 589.

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The cube of 588.9 is approximately 204,303,269.

Explanation

First, identify the cube of 589, The cube of 589 is 589³ = 204,303,269.

 

Since 588.9 is only a tiny bit less than 589, the cube of 588.9 will be almost the same as the cube of 589.

 

The cube of 588.9 is approximately 204,303,269 because the difference between 588.9 and 589 is very small.

 

So, we can approximate the value as 204,303,269.

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FAQs on Cube of 589

1.What are the perfect cubes up to 589?

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2.How do you calculate 589³?

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3.What is the meaning of 589³?

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4.What is the cube root of 589?

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5.Is 589 a perfect cube?

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6.How does learning Algebra help students in Indonesia make better decisions in daily life?

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7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube of 589?

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8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 589?

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9.Does learning Algebra support future career opportunities for students in Indonesia?

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Important Glossaries for Cube of 589

  • 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 equals 8.

 

  • Cube Root: The number that, when multiplied by itself twice more, equals the original number. It is denoted as ³√.

 

  • Volume: The amount of space occupied by a 3-dimensional object, often measured in cubic units.
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About BrightChamps in Indonesia

At BrightChamps, algebra is more than just symbols—it opens up a world of possibilities! We are passionate about helping children throughout Indonesia develop key math skills, with today’s spotlight on the Cube of 589 and a special focus on cubes—in an engaging, clear, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Dunia Fantasi, keeping track of scores at a local badminton match, or managing their allowance for the latest gadgets, mastering algebra gives them the confidence to tackle everyday problems. Our interactive sessions make learning both fun and simple. Because kids in Indonesia have different learning styles, we adjust our methods to suit each child’s needs. From Jakarta’s busy streets to Bali’s stunning beaches, BrightChamps brings algebra to life, making it exciting and meaningful across Indonesia. Let’s make cubes a fun part of every child’s math journey!
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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.

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Fun Fact

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

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