Cube of 279
2026-02-28 01:14 Diff
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Last updated on August 5, 2025

When a number is multiplied by itself three times, 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 279.

Cube of 279

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 279 can be written as 279³, which is the exponential form.

Or it can also be written in arithmetic form as, 279 × 279 × 279.

How to Calculate the Value of Cube of 279

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
     
  • Using a Calculator

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. 279³ = 279 × 279 × 279

Step 2: You get 21,727,239 as the answer. Hence, the cube of 279 is 21,727,239.

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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 279 into two parts, as 200 and 79. Let a = 200 and b = 79, so a + b = 279

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

Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 79 3ab² = 3 × 200 × 79² b³ = 79³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 79)³ = 200³ + 3 × 200² × 79 + 3 × 200 × 79² + 79³ 279³ = 8,000,000 + 9,480,000 + 3,748,200 + 493,039 279³ = 21,727,239

Step 5: Hence, the cube of 279 is 21,727,239.

Using a Calculator

To find the cube of 279 using a calculator, input the number 279 and use the cube function (if available) or multiply 279 × 279 × 279. This operation calculates the value of 279³, resulting in 21,727,239. 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 7 and 9

Step 3: If the calculator has a cube function, press it to calculate 279³.

Step 4: If there is no cube function on the calculator, simply multiply 279 three times manually.

Step 5: The calculator will display 21,727,239.

Tips and Tricks for the Cube of 279

  • 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.

Common Mistakes to Avoid When Calculating the Cube of 279

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:

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Problem 1

What is the cube and cube root of 279?

Okay, lets begin

The cube of 279 is 21,727,239 and the cube root of 279 is approximately 6.545.

Explanation

First, let’s find the cube of 279.

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 279³ = 21,727,239

Next, we must find the cube root of 279

We know that 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√279 ≈ 6.545

Hence the cube of 279 is 21,727,239 and the cube root of 279 is approximately 6.545.

Well explained 👍

Problem 2

If the side length of the cube is 279 cm, what is the volume?

Okay, lets begin

The volume is 21,727,239 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 279 for the side length: V = 279³ = 21,727,239 cm³.

Well explained 👍

Problem 3

How much larger is 279³ than 200³?

Okay, lets begin

279³ – 200³ = 13,727,239.

Explanation

First find the cube of 279³, that is 21,727,239

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

Now, find the difference between them using the subtraction method. 21,727,239 – 8,000,000 = 13,727,239

Therefore, the 279³ is 13,727,239 larger than 200³.

Well explained 👍

Problem 4

If a cube with a side length of 279 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 279 cm is 21,727,239 cm³

Explanation

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

Cubing 279 means multiplying 279 by itself three times: 279 × 279 = 77,841, and 77,841 × 279 = 21,727,239.

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

Therefore, the volume of the cube is 21,727,239 cm³.

Well explained 👍

Problem 5

Estimate the cube 278.9 using the cube 279.

Okay, lets begin

The cube of 278.9 is approximately 21,727,239.

Explanation

First, identify the cube of 279,

The cube of 279 is 279³ = 21,727,239.

Since 278.9 is only a tiny bit less than 279, the cube of 278.9 will be almost the same as the cube of 279.

The cube of 278.9 is approximately 21,727,239 because the difference between 278.9 and 279 is very small.

So, we can approximate the value as 21,727,239.

Well explained 👍

FAQs on Cube of 279

1.What are the perfect cubes up to 279?

The perfect cubes up to 279 are 1, 8, 27, 64, 125, and 216.

2.How do you calculate 279³?

To calculate 279³, use the multiplication method, 279 × 279 × 279, which equals 21,727,239.

3.What is the meaning of 279³?

279³ means 279 multiplied by itself three times, or 279 × 279 × 279.

4.What is the cube root of 279?

5.Is 279 a perfect cube?

No, 279 is not a perfect cube because no integer multiplied by itself three times equals 279.

Important Glossaries for Cube of 279

  • 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 is called a perfect cube.
     
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives that number.

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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.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.