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Last updated on June 3rd, 2025

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Cube of 274

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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 274.

Cube of 274 for UAE Students
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Cube of 274

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 274 can be written as 274³, which is the exponential form.

Or it can also be written in arithmetic form as, 274 × 274 × 274.

cube of 274

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How to Calculate the Value of Cube of 274

In order to verify whether a number is a cube number or not, we can use the following three methods, such as the multiplication method, a factor formula (a³), or by using a calculator. These three methods will help kids to cube numbers faster and easier without feeling confused or stuck while evaluating the answers.

 

  • By Multiplication Method
     
  • Using a Formula
     
  • 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. 274³ = 274 × 274 × 274

 

Step 2: Calculate the product to get 20,584,024 as the answer. Hence, the cube of 274 is 20,584,024.

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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 274 into two parts, as 270 and 4. Let a = 270 and b = 4, so a + b = 274

 

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

 

Step 3: Calculate each term a³ = 270³ 3a²b = 3 × 270² × 4 3ab² = 3 × 270 × 4² b³ = 4³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (270 + 4)³ = 270³ + 3 × 270² × 4 + 3 × 270 × 4² + 4³ 274³ = 19,683,000 + 874,800 + 12,960 + 64 274³ = 20,584,824

 

Step 5: Hence, the cube of 274 is 20,584,024.

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Using a Calculator

To find the cube of 274 using a calculator, input the number 274 and use the cube function (if available) or multiply 274 × 274 × 274. This operation calculates the value of 274³, resulting in 20,584,024. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Enter 274

 

Step 3: If the calculator has a cube function, press it to calculate 274³.

 

Step 4: If there is no cube function on the calculator, simply multiply 274 three times manually.

 

Step 5: The calculator will display 20,584,024.

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Tips and Tricks for the Cube of 274

  • 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 274

There are some typical errors that kids might make during the process of cubing a number. Let us take a look at some 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, 274 × 274 and not 274 × 274 × 274. Always remember that 274³ = 274 × 274 × 274.

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Solved Examples on Cube of 274

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Problem 1

What is the cube and cube root of 274?

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The cube of 274 is 20,584,024 and the cube root of 274 is approximately 6.497.

Explanation

First, let’s find the cube of 274.

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 274³ = 20,584,024

Next, we must find the cube root of 274

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 ∛274 ≈ 6.497

Hence, the cube of 274 is 20,584,024 and the cube root of 274 is approximately 6.497.

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Problem 2

If the side length of the cube is 274 cm, what is the volume?

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The volume is 20,584,024 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 274 for the side length: V = 274³ = 20,584,024 cm³.

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Problem 3

How much larger is 274³ than 200³?

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274³ – 200³ = 12,584,024.

Explanation

First find the cube of 274, which is 20,584,024.

Next, find the cube of 200, which is 8,000,000.

Now, find the difference between them using the subtraction method. 20,584,024 – 8,000,000 = 12,584,024.

Therefore, 274³ is 12,584,024 larger than 200³.

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Problem 4

If a cube with a side length of 274 cm is compared to a cube with a side length of 10 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 274 cm is 20,584,024 cm³.

Explanation

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

Cubing 274 means multiplying 274 by itself three times: 274 × 274 = 75,076, and then 75,076 × 274 = 20,584,024.

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

Therefore, the volume of the cube is 20,584,024 cm³.

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Problem 5

Estimate the cube of 273.9 using the cube of 274.

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The cube of 273.9 is approximately 20,584,024.

Explanation

First, identify the cube of 274,

The cube of 274 is 274³ = 20,584,024.

Since 273.9 is only a tiny bit less than 274, the cube of 273.9 will be almost the same as the cube of 274.

The cube of 273.9 is approximately 20,584,024 because the difference between 273.9 and 274 is very small.

So, we can approximate the value as 20,584,024.

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FAQs on Cube of 274

1.What are the perfect cubes up to 274?

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2.How do you calculate 274³?

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3.What is the meaning of 274³?

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4.What is the cube root of 274?

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5.Is 274 a perfect cube?

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6.How does learning Algebra help students in United Arab Emirates make better decisions in daily life?

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7.How can cultural or local activities in United Arab Emirates support learning Algebra topics such as Cube of 274?

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8.How do technology and digital tools in United Arab Emirates support learning Algebra and Cube of 274?

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9.Does learning Algebra support future career opportunities for students in United Arab Emirates?

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Important Glossaries for Cube of 274

  • 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 which equals 8.
     
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is denoted by the radical symbol with a small three (∛).
     
  • Volume of a Cube: The total space occupied by a cube, calculated by raising the side length to the third power (side³).
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About BrightChamps in United Arab Emirates

At BrightChamps, algebra is more than just digits—it’s a gateway to infinite possibilities! We focus on helping kids across the UAE develop essential math skills, with today’s spotlight on the Cube of 274, especially exploring cubes—in a lively, simple, and enjoyable manner. Whether your child is working out the speed of a roller coaster at Dubai Parks and Resorts, keeping track of scores at local sports events, or managing their allowance for the latest gadgets, mastering algebra helps them gain confidence in daily life. Our interactive lessons make math fun and accessible. Because children in the UAE learn differently, we adapt our teaching to fit their individual learning styles. From Dubai’s towering skyscrapers to Abu Dhabi’s cultural heritage, BrightChamps makes algebra come alive across the UAE. Let’s make cubes a delightful 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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