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Last updated on June 1st, 2025

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Cube of 574

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When a number is multiplied by itself three times, the resultant number is called the cube of a number. Cubing is used when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 574.

Cube of 574 for Australian Students
Professor Greenline from BrightChamps

Cube of 574

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 574 can be written as 574³, which is the exponential form.

 

Or it can also be written in arithmetic form as 574 × 574 × 574.

cube of 574

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How to Calculate the Value of Cube of 574

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

 

  • By Multiplication Method
     
  • Using a Formula
     
  • Using a Calculator
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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. 574³ = 574 × 574 × 574

 

Step 2: You get 189,386,824 as the answer. Hence, the cube of 574 is 189,386,824.

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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 574 into two parts. Let a = 500 and b = 74, so a + b = 574

 

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

 

Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 74 3ab² = 3 × 500 × 74² b³ = 74³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (500 + 74)³ = 500³ + 3 × 500² × 74 + 3 × 500 × 74² + 74³ 574³ = 125,000,000 + 55,500,000 + 8,208,000 + 405,224 574³ = 189,386,824

 

Step 5: Hence, the cube of 574 is 189,386,824.

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Using a Calculator

To find the cube of 574 using a calculator, input the number 574 and use the cube function (if available) or multiply 574 × 574 × 574. This operation calculates the value of 574³, resulting in 189,386,824. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Input 574 into the calculator.

 

Step 3: If the calculator has a cube function, press it to calculate 574³.

 

Step 4: If there is no cube function on the calculator, simply multiply 574 three times manually.

 

Step 5: The calculator will display 189,386,824.

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Tips and Tricks for the Cube of 574

  • 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 574

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

Mistake 1

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Incorrect Multiplication

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Students might multiply the numbers only twice. That is, 574 × 574 and not 574 × 574 × 574. Always remember that 574³ = 574 × 574 × 574.

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Solved Examples on Cube of 574

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Problem 1

What is the cube and cube root of 574?

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The cube of 574 is 189,386,824 and the cube root of 574 is approximately 8.267.

Explanation

First, let’s find the cube of 574.

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 574³ = 189,386,824

Next, we must find the cube root of 574

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 ∛574 ≈ 8.267

Hence the cube of 574 is 189,386,824 and the cube root of 574 is approximately 8.267.

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Problem 2

If the side length of the cube is 574 cm, what is the volume?

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The volume is 189,386,824 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 574 for the side length: V = 574³ = 189,386,824 cm³.

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Problem 3

How much larger is 574³ than 500³?

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574³ – 500³ = 64,386,824.

Explanation

First, find the cube of 574³, which is 189,386,824

Next, find the cube of 500³, which is 125,000,000

Now, find the difference between them using the subtraction method. 189,386,824 – 125,000,000 = 64,386,824

Therefore, 574³ is 64,386,824 larger than 500³.

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Problem 4

If a cube with a side length of 574 cm is compared to a cube with a side length of 74 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 574 cm is 189,386,824 cm³.

Explanation

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

Cubing 574 means multiplying 574 by itself three times: 574 × 574 = 329,476, and then 329,476 × 574 = 189,386,824.

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

Therefore, the volume of the cube is 189,386,824 cm³.

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Problem 5

Estimate the cube of 573.9 using the cube of 574.

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The cube of 573.9 is approximately 189,386,824.

Explanation

First, identify the cube of 574,

The cube of 574 is 574³ = 189,386,824.

Since 573.9 is only a tiny bit less than 574, the cube of 573.9 will be almost the same as the cube of 574.

The cube of 573.9 is approximately 189,386,824 because the difference between 573.9 and 574 is very small.

So, we can approximate the value as 189,386,824.

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FAQs on Cube of 574

1.What are the perfect cubes up to 574?

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2.How do you calculate 574³?

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3.What is the meaning of 574³?

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4.What is the cube root of 574?

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5.Is 574 a perfect cube?

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

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7.How can cultural or local activities in Australia support learning Algebra topics such as Cube of 574?

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8.How do technology and digital tools in Australia support learning Algebra and Cube of 574?

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

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Professor Greenline from BrightChamps

Important Glossaries for Cube of 574

  • 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.
     
  • Volume: The amount of space occupied by a 3-dimensional object, calculated as the cube of its side length for a cube.
     
  • Cube Root: The value that, when multiplied by itself three times, gives the original number. For example, the cube root of 8 is 2.
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About BrightChamps in Australia

At BrightChamps, algebra is much more than digits—it opens doors to unlimited possibilities! We are committed to helping kids all across Australia master important math skills, including today’s focus on the Cube of 574, with a special spotlight on cubes—in a fun, engaging, and easy-to-understand way. Whether your child is calculating the speed of a roller coaster at Luna Park Sydney, keeping score at a local cricket match, or managing their allowance for the latest gadgets, mastering algebra builds their confidence for daily life. Our interactive lessons make math learning simple and enjoyable. Because children in Australia learn in different ways, we adapt our approach to suit each child’s style. From Sydney’s vibrant streets to the beautiful beaches of the Gold Coast, BrightChamps brings algebra to life, making it exciting and relatable all over Australia. 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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