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Last updated on May 30th, 2025

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Cube of 246

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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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 246.

Cube of 246 for Saudi Students
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Cube of 246

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 246 can be written as 2463, which is the exponential form.

 

Or it can also be written in arithmetic form as, 246 × 246 × 246.

cube of 246

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How to Calculate the Value of Cube of 246

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 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. 2463 = 246 × 246 × 246

 

Step 2: You get 14,860,344 as the answer.

 

Hence, the cube of 246 is 14,860,344.

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Using a Formula (a^3)

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 246 into two parts, as 240 and 6. Let a = 240 and b = 6, so a + b = 246

 

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

 

Step 3: Calculate each term a^3 = 240^3 3a^2b = 3 × 240^2 × 6 3ab^2 = 3 × 240 × 6^2 b^3 = 6^3

 

Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (240 + 6)3 = 2403 + 3 × 2402 × 6 + 3 × 240 × 62 + 63 2463 = 13,824,000 + 103,680 + 25,920 + 216 246^3 = 14,860,344

 

Step 5: Hence, the cube of 246 is 14,860,344.

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Using a Calculator

To find the cube of 246 using a calculator, input the number 246 and use the cube function (if available) or multiply 246 × 246 × 246. This operation calculates the value of 2463, resulting in 14,860,344. 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 6.

 

Step 3: If the calculator has a cube function, press it to calculate 2463.

 

Step 4: If there is no cube function on the calculator, simply multiply 246 three times manually.

 

Step 5: The calculator will display 14,860,344.

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Tips and Tricks for the Cube of 246

  • 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 246

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, 246 × 246 and not 246 × 246 × 246. Always remember that 2463 = 246 × 246 × 246.

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Solved Examples on Cube of 246

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Problem 1

What is the cube and cube root of 246?

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The cube of 246 is 14,860,344 and the cube root of 246 is approximately 6.274.

Explanation

First, let’s find the cube of 246.

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 2463 = 14,860,344 Next, we must find the cube root of 246

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 ∛246 ≈ 6.274

Hence, the cube of 246 is 14,860,344 and the cube root of 246 is approximately 6.274.

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Problem 2

If the side length of the cube is 246 cm, what is the volume?

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The volume is 14,860,344 cm³.

Explanation

Use the volume formula for a cube V = Side3.

Substitute 246 for the side length: V = 2463 = 14,860,344 cm³.

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Problem 3

How much larger is 246^3 than 200^3?

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2463 – 2003 = 10,860,344.

Explanation

First, find the cube of 2463, that is 14,860,344

Next, find the cube of 2003, which is 8,000,000

Now, find the difference between them using the subtraction method. 14,860,344 – 8,000,000 = 6,860,344

Therefore, the 2463 is 6,860,344 larger than 2003.

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Problem 4

If a cube with a side length of 246 cm is compared to a cube with a side length of 50 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 246 cm is 14,860,344 cm³.

Explanation

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

Cubing 246 means multiplying 246 by itself three times: 246 × 246 = 60,516, and then 60,516 × 246 = 14,860,344.

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

Therefore, the volume of the cube is 14,860,344 cm³.

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Problem 5

Estimate the cube 245.5 using the cube 246.

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The cube of 245.5 is approximately 14,860,344.

Explanation

First, identify the cube of 246,

The cube of 246 is 2463 = 14,860,344.

Since 245.5 is only a tiny bit less than 246, the cube of 245.5 will be almost the same as the cube of 246.

The cube of 245.5 is approximately 14,860,344 because the difference between 245.5 and 246 is very small.

So, we can approximate the value as 14,860,344.

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FAQs on Cube of 246

1.What are the perfect cubes up to 246?

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2.How do you calculate 246^3?

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3.What is the meaning of 246^3?

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4.What is the cube root of 246?

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5.Is 246 a perfect cube?

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

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7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube of 246?

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8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 246?

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

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Important Glossaries for Cube of 246

  • 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 amount of space occupied by a cube, calculated as the length of a side raised to the third power.

 

  • Perfect Cube: A number that can be expressed as the cube of an integer.
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About BrightChamps in Saudi Arabia

At BrightChamps, algebra means more than just figures—it unlocks endless opportunities! Our mission is to support kids all across Saudi Arabia in learning key math concepts, including today’s focus on the Cube of 246 with a special highlight on cubes—in a fun, clear, and engaging way. Whether your child is figuring out the speed of a roller coaster at Riyadh’s Al Hokair Land, following scores at a local football match, or budgeting their allowance for the latest gadgets, mastering algebra boosts their confidence for everyday challenges. Our interactive lessons make learning simple and fun. Since kids in Saudi Arabia have different ways of learning, we customize our approach to each child’s style. From Riyadh’s bustling streets to Jeddah’s historic sites, BrightChamps brings algebra to life, making it exciting and relevant across Saudi Arabia. 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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