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Last updated on May 30th, 2025

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Cube of 248

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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 248.

Cube of 248 for Canadian Students
Professor Greenline from BrightChamps

Cube of 248

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 248 can be written as 248³, which is the exponential form.

 

Or it can also be written in arithmetic form as 248 × 248 × 248.

cube of 248

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How to Calculate the Value of Cube of 248

In order to check whether a number is a cube number or not, we can use the following three methods: multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids 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 a number multiplied by itself three times. It is a fundamental operation that forms the basis for more complex mathematical concepts.

 

Step 1: Write down the cube of the given number. 248³ = 248 × 248 × 248

 

Step 2: You get 15,263,552 as the answer.

 

Hence, the cube of 248 is 15,263,552.

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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 248 into two parts, as 200 and 48. Let a = 200 and b = 48, so a + b = 248

 

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

 

Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 48 3ab² = 3 × 200 × 48² b³ = 48³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 48)³ = 200³ + 3 × 200² × 48 + 3 × 200 × 48² + 48³ 248³ = 8,000,000 + 5,760,000 + 1,382,400 + 110,592 248³ = 15,263,552

 

Step 5: Hence, the cube of 248 is 15,263,552.

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Using a Calculator

To find the cube of 248 using a calculator, input the number 248 and use the cube function (if available) or multiply 248 × 248 × 248. This operation calculates the value of 248³, resulting in 15,263,552. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 2, 4, and 8

 

Step 3: If the calculator has a cube function, press it to calculate 248³.

 

Step 4: If there is no cube function on the calculator, simply multiply 248 three times manually.

 

Step 5: The calculator will display 15,263,552.

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Tips and Tricks for the Cube of 248

  • 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 248

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, 248 × 248 and not 248 × 248 × 248. Always remember that 248³ = 248 × 248 × 248.

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Solved Examples on Cube of 248

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Problem 1

What is the cube and cube root of 248?

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The cube of 248 is 15,263,552 and the cube root of 248 is approximately 6.299.

Explanation

First, let’s find the cube of 248.

We know that the cube of a number is such that x³ = y

Where x is the given number, and y is the cubed value of that number

So, we get 248³ = 15,263,552 Next, we must find the cube root of 248

We know that the cube root of a number ‘x’ is such that ∛x = y

Where ‘x’ is the given number, and y is the cube root value of the number

So, we get ∛248 ≈ 6.299

Hence, the cube of 248 is 15,263,552, and the cube root of 248 is approximately 6.299.

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Problem 2

If the side length of the cube is 248 cm, what is the volume?

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The volume is 15,263,552 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 248 for the side length: V = 248³ = 15,263,552 cm³.

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Problem 3

How much larger is 248³ than 200³?

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248³ – 200³ = 7,263,552.

Explanation

First, find the cube of 248³, which is 15,263,552

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

Now, find the difference between them using the subtraction method. 15,263,552 – 8,000,000 = 7,263,552

Therefore, 248³ is 7,263,552 larger than 200³.

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Problem 4

If a cube with a side length of 248 cm is compared to a cube with a side length of 48 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 248 cm is 15,263,552 cm³.

Explanation

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

Cubing 248 means multiplying 248 by itself three times: 248 × 248 = 61,504, and then 61,504 × 248 = 15,263,552.

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

Therefore, the volume of the cube is 15,263,552 cm³.

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Problem 5

Estimate the cube of 247.9 using the cube of 248.

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The cube of 247.9 is approximately 15,263,552.

Explanation

First, identify the cube of 248, The cube of 248 is 248³ = 15,263,552.

Since 247.9 is only a tiny bit less than 248, the cube of 247.9 will be almost the same as the cube of 248.

The cube of 247.9 is approximately 15,263,552 because the difference between 247.9 and 248 is very small.

So, we can approximate the value as 15,263,552.

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FAQs on Cube of 248

1.What are the perfect cubes up to 250?

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2.How do you calculate 248³?

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3.What is the meaning of 248³?

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4.What is the cube root of 248?

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5.Is 248 a perfect cube?

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

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7.How can cultural or local activities in Canada support learning Algebra topics such as Cube of 248?

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8.How do technology and digital tools in Canada support learning Algebra and Cube of 248?

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

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Important Glossaries for Cube of 248

  • 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, 248³ represents 248 × 248 × 248 equals 15,263,552.

 

  • Multiplication Method: A mathematical process used to find the product of a number multiplied by itself three times.

 

  • Volume Formula: In the context of cubes, the volume is calculated using the formula V = side³, where 'side' is the length of one side of the cube.
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About BrightChamps in Canada

At BrightChamps, we understand algebra goes beyond digits—it opens doors to limitless possibilities! We aim to guide kids all across Canada to grasp key math skills, such as today’s focus on the Cube of 248, with a special emphasis on exploring cubes—in a fun, engaging, and easy-to-understand manner. Whether your child is measuring the speed of a roller coaster at Canada’s Wonderland, tracking hockey game scores, or budgeting their allowance for the latest gadgets, mastering algebra builds their everyday confidence. Our engaging lessons make learning both enjoyable and simple. Since Canadian children learn in various ways, we tailor our teaching to suit each learner’s style. From Toronto’s vibrant city life to the breathtaking views of British Columbia, BrightChamps makes algebra come alive, making it meaningful and exciting across Canada. Let’s make cubes a thrilling part of every child’s math story!
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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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