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Last updated on May 30th, 2025

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Cube of 242

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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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 242.

Cube of 242 for Filipino Students
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Cube of 242

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 242 can be written as 242³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 242 × 242 × 242.

cube of 242

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How to Calculate the Value of Cube of 242

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. 242³ = 242 × 242 × 242

 

Step 2: You get 14,171,368 as the answer.

 

Hence, the cube of 242 is 14,171,368.

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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 242 into two parts, as 240 and 2. Let a = 240 and b = 2, so a + b = 242

 

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

 

Step 3: Calculate each term a³ = 240³ 3a²b = 3 × 240² × 2 3ab² = 3 × 240 × 2² b³ = 2³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (240 + 2)³ = 240³ + 3 × 240² × 2 + 3 × 240 × 2² + 2³ 242³ = 13,824,000 + 345,600 + 2,880 + 8 242³ = 14,171,368

 

Step 5: Hence, the cube of 242 is 14,171,368.

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Using a Calculator

To find the cube of 242 using a calculator, input the number 242 and use the cube function (if available) or multiply 242 × 242 × 242. This operation calculates the value of 242³, resulting in 14,171,368. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 2 followed by 4 and 2

 

Step 3: If the calculator has a cube function, press it to calculate 242³.

 

Step 4: If there is no cube function on the calculator, simply multiply 242 three times manually.

 

Step 5: The calculator will display 14,171,368.

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Tips and Tricks for the Cube of 242

  • 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 242

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, 242 × 242 and not 242 × 242 × 242. Always remember that 242³ = 242 × 242 × 242.

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Solved Examples on Cube of 242

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Problem 1

What is the cube and cube root of 242?

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The cube of 242 is 14,171,368 and the cube root of 242 is approximately 6.288.

Explanation

First, let’s find the cube of 242.

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 242³ = 14,171,368 Next, we must find the cube root of 242

We know that the cube root of a number ‘x’, 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√242 ≈ 6.288

Hence the cube of 242 is 14,171,368 and the cube root of 242 is approximately 6.288.

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Problem 2

If the side length of the cube is 242 cm, what is the volume?

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The volume is 14,171,368 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 242 for the side length: V = 242³ = 14,171,368 cm³.

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Problem 3

How much larger is 242³ than 202³?

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242³ – 202³ = 10,585,648.

Explanation

First, find the cube of 242³, which is 14,171,368

Next, find the cube of 202³, which is 3,585,720

Now, find the difference between them using the subtraction method. 14,171,368 – 3,585,720 = 10,585,648

Therefore, 242³ is 10,585,648 larger than 202³.

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Problem 4

If a cube with a side length of 242 cm is compared to a cube with a side length of 42 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 242 cm is 14,171,368 cm³.

Explanation

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

Cubing 242 means multiplying 242 by itself three times: 242 × 242 = 58,564, and then 58,564 × 242 = 14,171,368.

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

Therefore, the volume of the cube is 14,171,368 cm³.

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Problem 5

Estimate the cube of 241.9 using the cube of 242.

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The cube of 241.9 is approximately 14,171,368.

Explanation

First, identify the cube of 242, The cube of 242 is 242³ = 14,171,368.

Since 241.9 is only a tiny bit less than 242, the cube of 241.9 will be almost the same as the cube of 242.

The cube of 241.9 is approximately 14,171,368 because the difference between 241.9 and 242 is very small.

So, we can approximate the value as 14,171,368.

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FAQs on Cube of 242

1.What are the perfect cubes up to 242?

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2.How do you calculate 242³?

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3.What is the meaning of 242³?

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4.What is the cube root of 242?

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5.Is 242 a perfect cube?

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

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7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 242?

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8.How do technology and digital tools in Philippines support learning Algebra and Cube of 242?

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

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Important Glossaries for Cube of 242

  • 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.

 

  • Perfect Cube: A number that can be expressed as the cube of an integer.

 

  • Cube Root: The number that, when used in a multiplication three times, gives that number. For example, the cube root of 8 is 2, because 2 × 2 × 2 = 8.
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About BrightChamps in Philippines

At BrightChamps, algebra is more than just numbers—it’s the key to unlocking many opportunities! We dedicate ourselves to helping kids across the Philippines grasp important math concepts, including today’s focus on the Cube of 242 with a special emphasis on cubes—in an engaging, clear, and fun way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, following basketball scores, or managing their allowance to buy new gadgets, mastering algebra builds their confidence for everyday challenges. Our interactive lessons make math learning fun and easy. Because kids in the Philippines learn in diverse ways, we tailor our approach to each child’s unique style. From Manila’s busy streets to Palawan’s stunning islands, BrightChamps makes algebra exciting and relatable throughout the Philippines. Let’s make cubes 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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