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Last updated on May 28th, 2025

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Cube of 73

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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 cubes of 73.

Cube of 73 for UK Students
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Cube of 73

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 73 can be written as 73³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 73 × 73 × 73.

cube of 73

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How to Calculate the Value of Cube of 73

In order to check whether a number is a cube number or not, we can use the following three methods, such as 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 (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 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. 73³ = 73 × 73 × 73

 

Step 2: You get 389,017 as the answer.

 

Hence, the cube of 73 is 389,017.

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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 73 into two parts, as 70 and 3. Let a = 70 and b = 3, so a + b = 73

 

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

 

Step 3: Calculate each term a³ = 70³ 3a²b = 3 × 70² × 3 3ab² = 3 × 70 × 3² b³ = 3³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (70 + 3)³ = 70³ + 3 × 70² × 3 + 3 × 70 × 3² + 3³ 73³ = 343,000 + 44,100 + 1,890 + 27 73³ = 389,017

 

Step 5: Hence, the cube of 73 is 389,017.

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Using a Calculator

To find the cube of 73 using a calculator, input the number 73 and use the cube function (if available) or multiply 73 × 73 × 73. This operation calculates the value of 73³, resulting in 389,017. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 7 followed by 3

 

Step 3: If the calculator has a cube function, press it to calculate 73³.

 

Step 4: If there is no cube function on the calculator, simply multiply 73 three times manually.

 

Step 5: The calculator will display 389,017.

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Tips and Tricks for the Cube of 73

  • 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 73

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, 73 × 73 and not 73 × 73 × 73. Always remember that 73³ = 73 × 73 × 73.

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Solved Examples on Cube of 73

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Problem 1

What is the cube and cube root of 73?

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The cube of 73 is 389,017 and the cube root of 73 is approximately 4.197.

Explanation

First, let’s find the cube of 73.

We know that 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 73³ = 389,017 Next, we must find the cube root of 73.

We know that 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 ∛73 ≈ 4.197

Hence the cube of 73 is 389,017 and the cube root of 73 is approximately 4.197.

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Problem 2

If the side length of the cube is 73 cm, what is the volume?

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The volume is 389,017 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 73 for the side length: V = 73³ = 389,017 cm³.

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Problem 3

How much larger is 73³ than 63³?

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73³ – 63³ = 191,744.

Explanation

First find the cube of 73³, that is 389,017

Next, find the cube of 63³, which is 197,273

Now, find the difference between them using the subtraction method. 389,017 – 197,273 = 191,744

Therefore, the 73³ is 191,744 larger than 63³.

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Problem 4

If a cube with a side length of 73 cm is compared to a cube with a side length of 23 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 73 cm is 389,017 cm³.

Explanation

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

Cubing 73 means multiplying 73 by itself three times: 73 × 73 = 5,329, and then 5,329 × 73 = 389,017.

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

Therefore, the volume of the cube is 389,017 cm³.

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Problem 5

Estimate the cube 72.9 using the cube 73.

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The cube of 72.9 is approximately 389,017.

Explanation

First, identify the cube of 73,

The cube of 73 is 73³ = 389,017.

Since 72.9 is only a tiny bit less than 73, the cube of 72.9 will be almost the same as the cube of 73.

The cube of 72.9 is approximately 389,017 because the difference between 72.9 and 73 is very small.

So, we can approximate the value as 389,017.

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FAQs on Cube of 73

1.What are the perfect cubes up to 73?

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2.How do you calculate 73³?

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3.What is the meaning of 73³?

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4.What is the cube root of 73?

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5.Is 73 a perfect cube?

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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 73?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Cube of 73?

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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 73

  • 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 of a Cube: The space occupied by a cube, calculated using the formula V = side³, where 'side' is the length of one of its edges.

 

  • Cube Root: The value that, when multiplied by itself three times, gives the original number. It is represented by the symbol ∛.
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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 73, 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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