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Last updated on June 3rd, 2025

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Cube of 334

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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 the cube of 334.

Cube of 334 for UK Students
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Cube of 334

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 cubed results in a negative number. The cube of 334 can be written as 334³, which is the exponential form. Or it can also be written in arithmetic form as, 334 × 334 × 334.

cube of 334

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How to Calculate the Value of Cube of 334

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 methods will help calculate the cube of numbers faster and easier without confusion.

 

  • 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 by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.

 

Step 1: Write down the cube of the given number. 334³ = 334 × 334 × 334

 

Step 2: You get 37,261,304 as the answer.

 

Hence, the cube of 334 is 37,261,304.

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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 334 into two parts, as 300 and 34.

Let a = 300 and b = 34, so a + b = 334

 

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

 

Step 3: Calculate each term a³ = 300³, 3a²b = 3 × 300² × 34 , 3ab² = 3 × 300 × 34², b³ = 34³

 

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(300 + 34)³ = 300³ + 3 × 300² × 34 + 3 × 300 × 34² + 34³ 334³

= 27,000,000 + 9,180,000 + 1,039,200 + 39,304 334³

= 37,261,304

 

Step 5: Hence, the cube of 334 is 37,261,304.

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Using a Calculator

To find the cube of 334 using a calculator, input the number 334 and use the cube function (if available) or multiply 334 × 334 × 334. This operation calculates the value of 334³, resulting in 37,261,304. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Input 334

 

Step 3: If the calculator has a cube function, press it to calculate 334³.

 

Step 4: If there is no cube function, multiply 334 three times manually.

 

Step 5: The calculator will display 37,261,304.

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Tips and Tricks for the Cube of 334

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 334

There are some typical errors one might make during the process of cubing a number. Let us take a look at five of the major mistakes:

Mistake 1

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Incorrect Multiplication

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People might multiply the numbers only twice. That is, 334 × 334 and not 334 × 334 × 334. Always remember that 334³ = 334 × 334 × 334.

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Solved Examples on Cube of 334

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Problem 1

What is the cube and cube root of 334?

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The cube of 334 is 37,261,304 and the cube root of 334 is approximately 6.997.

Explanation

First, let’s find the cube of 334.

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

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

So, we get 334³ = 37,261,304.

Next, we must find the cube root of 334.

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

So, we get ∛334 ≈ 6.997.

Hence the cube of 334 is 37,261,304 and the cube root of 334 is approximately 6.997.

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Problem 2

If the side length of a cube is 334 cm, what is the volume?

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The volume is 37,261,304 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 334 for the side length: V = 334³ = 37,261,304 cm³.

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Problem 3

How much larger is 334³ than 300³?

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334³ – 300³ = 10,261,304.

Explanation

First, find the cube of 334, that is 37,261,304.

Next, find the cube of 300, which is 27,000,000.

Now, find the difference between them using subtraction.

37,261,304 – 27,000,000 = 10,261,304.

Therefore, 334³ is 10,261,304 larger than 300³.

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Problem 4

If a cube with a side length of 334 cm is compared to a cube with a side length of 100 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 334 cm is 37,261,304 cm³.

Explanation

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

Cubing 334 means multiplying 334 by itself three times: 334 × 334 = 111,556, and then 111,556 × 334 = 37,261,304.

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

Therefore, the volume of the cube is 37,261,304 cm³.

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Problem 5

Estimate the cube of 333.5 using the cube of 334.

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The cube of 333.5 is approximately 37,261,304.

Explanation

First, identify the cube of 334, The cube of 334 is 334³ = 37,261,304.

Since 333.5 is only slightly less than 334, the cube of 333.5 will be almost the same as the cube of 334.

The cube of 333.5 is approximately 37,261,304 because the difference between 333.5 and 334 is very small.

So, we can approximate the value as 37,261,304.

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FAQs on Cube of 334

1.What are the perfect cubes up to 334?

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2.How do you calculate 334³?

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3.What is the meaning of 334³?

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4.What is the cube root of 334?

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5.Is 334 a perfect cube?

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

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7.How can cultural or local activities in United Kingdom support learning Algebra topics such as Cube of 334?

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8.How do technology and digital tools in United Kingdom support learning Algebra and Cube of 334?

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

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Important Glossaries for Cube of 334

  • Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. 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: 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.

     
  • Perfect Cube: A number that is the cube of an integer.

     
  • Volume of a Cube: The total space occupied by a cube, calculated as side length cubed (Side³).
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About BrightChamps in United Kingdom

At BrightChamps, we know algebra is more than just figures—it’s a doorway to endless opportunities! Our mission is to help children across the United Kingdom grasp vital math skills, like today’s spotlight on the Cube of 334, with an exciting focus on understanding cubes—in a lively, straightforward, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Alton Towers, keeping score at a local football match, or managing pocket money for the latest gadgets, mastering algebra gives them the confidence to face everyday challenges. Our interactive sessions keep learning fun and simple. Because children in the UK have different ways of learning, we adapt our approach to fit their unique styles. From London’s busy streets to the scenic Cornwall coast, BrightChamps makes algebra relatable and thrilling throughout the UK. Let’s turn cubes into 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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