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Last updated on May 26th, 2025

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Cube of 339

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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 cubes of 339.

Cube of 339 for Vietnamese Students
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Cube of 339

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 339 can be written as 339³, which is the exponential form. Or it can also be written in arithmetic form as 339 × 339 × 339.

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How to Calculate the Value of Cube of 339

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 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

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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.        339³ = 339 × 339 × 339 Step 2: You get 39,015,819 as the answer.        Hence, the cube of 339 is 39,015,819.

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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 339 into two parts, as 300 and 39.        Let a = 300 and b = 39, so a + b = 339 Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³ Step 3: Calculate each term        a³ = 300³        3a²b = 3 × 300² × 39        3ab² = 3 × 300 × 39²        b³ = 39³ Step 4: Add all the terms together:        (a + b)³ = a³ + 3a²b + 3ab² + b³        (300 + 39)³ = 300³ + 3 × 300² × 39 + 3 × 300 × 39² + 39³        339³ = 27,000,000 + 10,530,000 + 1,365,300 + 59,319        339³ = 39,015,819 Step 5: Hence, the cube of 339 is 39,015,819.

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Using a Calculator

To find the cube of 339 using a calculator, input the number 339 and use the cube function (if available) or multiply 339 × 339 × 339. This operation calculates the value of 339³, resulting in 39,015,819. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 3, followed by 3, and then 9. Step 3: If the calculator has a cube function, press it to calculate 339³. Step 4: If there is no cube function on the calculator, simply multiply 339 three times manually. Step 5: The calculator will display 39,015,819.

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Tips and Tricks for the Cube of 339

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 339

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, 339 × 339 and not 339 × 339 × 339. Always remember that 339³ = 339 × 339 × 339.

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Solved Examples on Cube of 339

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Problem 1

What is the cube and cube root of 339?

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The cube of 339 is 39,015,819 and the cube root of 339 is approximately 7.015.

Explanation

First, let’s find the cube of 339. 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 339³ = 39,015,819 Next, we must find the cube root of 339. 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 ∛339 ≈ 7.015 Hence the cube of 339 is 39,015,819 and the cube root of 339 is approximately 7.015.

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Problem 2

If the side length of the cube is 339 cm, what is the volume?

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The volume is 39,015,819 cm³.

Explanation

Use the volume formula for a cube V = Side³. Substitute 339 for the side length: V = 339³ = 39,015,819 cm³.

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Problem 3

How much larger is 339³ than 300³?

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339³ – 300³ = 12,015,819.

Explanation

First, find the cube of 339³, which is 39,015,819. Next, find the cube of 300³, which is 27,000,000. Now, find the difference between them using the subtraction method. 39,015,819 – 27,000,000 = 12,015,819 Therefore, 339³ is 12,015,819 larger than 300³.

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Problem 4

If a cube with a side length of 339 cm is compared to a cube with a side length of 39 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 339 cm is 39,015,819 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object). Cubing 339 means multiplying 339 by itself three times: 339 × 339 = 114,921, and then 114,921 × 339 = 39,015,819. The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube is 39,015,819 cm³.

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Problem 5

Estimate the cube 338.9 using the cube 339.

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The cube of 338.9 is approximately 39,015,819.

Explanation

First, identify the cube of 339. The cube of 339 is 339³ = 39,015,819. Since 338.9 is only a tiny bit less than 339, the cube of 338.9 will be almost the same as the cube of 339. The cube of 338.9 is approximately 39,015,819 because the difference between 338.9 and 339 is very small. So, we can approximate the value as 39,015,819.

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FAQs on Cube of 339

1.What are the perfect cubes up to 339?

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2.How do you calculate 339³?

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3.What is the meaning of 339³?

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4.What is the cube root of 339?

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5.Is 339 a perfect cube?

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

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7.How can cultural or local activities in Vietnam support learning Algebra topics such as Cube of 339?

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8.How do technology and digital tools in Vietnam support learning Algebra and Cube of 339?

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

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Important Glossary for Cube of 339

Binomial Formula: 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: 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. Volume of a Cube: The space occupied by a cube, calculated as the side length cubed (Side³).

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About BrightChamps in Vietnam

At BrightChamps, we believe algebra is more than just numbers—it’s a way to unlock countless chances! We aim to assist children across Vietnam in understanding key math concepts, like today’s focus on the Cube of 339, with a special emphasis on cubes—in a fun, clear, and engaging way. Whether your child is calculating the speed of a roller coaster at Suoi Tien Theme Park, following the scores at a local football match, or managing their allowance to buy the latest gadgets, learning algebra builds their confidence for everyday challenges. Our interactive lessons make math easy and fun. Because kids in Vietnam learn differently, we personalize our teaching to match each child’s style. From Ho Chi Minh City’s lively streets to the beautiful landscapes of Ha Long Bay, BrightChamps brings algebra to life, making it exciting and relevant throughout Vietnam. Let’s make cubes 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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