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Last updated on May 30th, 2025

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Cube of 551

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When a number is multiplied by itself thrice, 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 551.

Cube of 551 for UK Students
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Cube of 551

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 551 can be written as 551³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 551 × 551 × 551.

cube of 551

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How to Calculate the Value of Cube of 551

In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, 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 (a3)
     
  • 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 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. 551³ = 551 × 551 × 551

 

Step 2: You get 167,697,151 as the answer. Hence, the cube of 551 is 167,697,151.

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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 551 into two parts, as 550 and 1. Let a = 550 and b = 1, so a + b = 551

 

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

 

Step 3: Calculate each term a³ = 550³ 3a²b = 3 × 550² × 1 3ab² = 3 × 550 × 1² b³ = 1³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (550 + 1)³ = 550³ + 3 × 550² × 1 + 3 × 550 × 1² + 1³ 551³ = 166,375,000 + 907,500 + 1,650 + 1 551³ = 167,284,151

 

Step 5: Hence, the cube of 551 is 167,697,151.

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Using a Calculator

To find the cube of 551 using a calculator, input the number 551 and use the cube function (if available) or multiply 551 × 551 × 551. This operation calculates the value of 551³, resulting in 167,697,151. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Enter 551

 

Step 3: If the calculator has a cube function, press it to calculate 551³.

 

Step 4: If there is no cube function on the calculator, simply multiply 551 three times manually.

 

Step 5: The calculator will display 167,697,151.

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Tips and Tricks for the Cube of 551

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 551

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:

Mistake 1

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Incorrect Multiplication

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Kids might multiply the numbers only twice. That is, 551 × 551 and not 551 × 551 × 551. Always remember that 551³ = 551 × 551 × 551.

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Solved Examples on Cube of 551

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Problem 1

What is the cube of 551?

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The cube of 551 is 167,697,151.

Explanation

To find the cube of 551, multiply the number by itself three times. 551³ = 551 × 551 × 551 = 167,697,151

Therefore, the cube of 551 is 167,697,151.

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Problem 2

If the side length of the cube is 551 cm, what is the volume?

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The volume is 167,697,151 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 551 for the side length: V = 551³ = 167,697,151 cm³.

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Problem 3

How much larger is 551³ than 550³?

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551³ – 550³ = 1,322,651.

Explanation

First, find the cube of 551, which is 167,697,151.

Next, find the cube of 550, which is 166,375,000.

Now, find the difference between them using the subtraction method. 167,697,151 – 166,375,000 = 1,322,651

Therefore, 551³ is 1,322,651 larger than 550³.

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Problem 4

If a cube with a side length of 551 cm is compared to a cube with a side length of 10 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 551 cm is 167,697,151 cm³.

Explanation

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

Cubing 551 means multiplying 551 by itself three times: 551 × 551 = 303,601, and then 303,601 × 551 = 167,697,151.

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

Therefore, the volume of the cube is 167,697,151 cm³.

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Problem 5

Estimate the cube of 550.1 using the cube of 551.

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The cube of 550.1 is approximately 167,697,151.

Explanation

First, identify the cube of 551, The cube of 551 is 551³ = 167,697,151.

Since 550.1 is only a tiny bit less than 551, the cube of 550.1 will be almost the same as the cube of 551.

The cube of 550.1 is approximately 167,697,151 because the difference between 550.1 and 551 is very small.

So, we can approximate the value as 167,697,151.

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FAQs on Cube of 551

1.What are the perfect cubes up to 551?

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2.How do you calculate 551³?

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3.What is the meaning of 551³?

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4.Is 551 a perfect cube?

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5.How is the cube of an odd number identified?

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

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7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube of 551?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Cube of 551?

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

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Important Glossaries for Cube of 551

  • 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 product of three identical factors.

 

  • Volume: The amount of space occupied by a 3-dimensional object, calculated by raising the side length to the power of three for cubes.
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About BrightChamps in United Kingdom

At BrightChamps, we know algebra is more than just figures—it’s a doorway to endless opportunities! Our mission is to help children across the United Kingdom grasp vital math skills, like today’s spotlight on the Cube of 551, with an exciting focus on understanding cubes—in a lively, straightforward, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money for the latest gadgets, mastering algebra gives them the confidence to face everyday challenges. Our interactive sessions keep learning fun and simple. Because children in the UK have different ways of learning, we adapt our approach to fit their unique styles. From London’s busy streets to the scenic Cornwall coast, BrightChamps makes algebra relatable and thrilling throughout the UK. Let’s turn cubes into a fun part of every child’s math adventure!
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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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