Cube of 484
2026-02-28 14:06 Diff
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Last updated on August 5, 2025

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 484.

Cube of 484

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 484 can be written as 484³, which is the exponential form. Or it can also be written in arithmetic form as, 484 × 484 × 484.

How to Calculate the Value of Cube of 484

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.

  1. By Multiplication Method
  2. Using a Formula
  3. 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. 484³ = 484 × 484 × 484

Step 2: You get 113,379,904 as the answer. Hence, the cube of 484 is 113,379,904.

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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 484 into two parts, as and . Let a = 480 and b = 4, so a + b = 484

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

Step 3: Calculate each term a³ = 480³

3a²b = 3 × 480² × 4

3ab² = 3 × 480 × 4²

b³ = 4³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³

(480 + 4)³ = 480³ + 3 × 480² × 4 + 3 × 480 × 4² + 4³

484³ = 110,592,000 + 11,059,200 + 9,216 + 64

484³ = 113,379,904

Step 5: Hence, the cube of 484 is 113,379,904.

Using a Calculator

To find the cube of 484 using a calculator, input the number 484 and use the cube function (if available) or multiply 484 × 484 × 484. This operation calculates the value of 484³, resulting in 113,379,904. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 4 followed by 8 and then 4.

Step 3: If the calculator has a cube function, press it to calculate 484³.

Step 4: If there is no cube function on the calculator, simply multiply 484 three times manually.

Step 5: The calculator will display 113,379,904.

Tips and Tricks for the Cube of 484

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 484

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 484?

Okay, lets begin

The cube of 484 is 113,379,904 and the cube root of 484 is approximately 7.829.

Explanation

First, let’s find the cube of 484. 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 484³ = 113,379,904

 Next, we must find the cube root of 484. 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 ∛484 ≈ 7.829

Hence the cube of 484 is 113,379,904 and the cube root of 484 is approximately 7.829.

Well explained 👍

Problem 2

If the side length of the cube is 484 cm, what is the volume?

Okay, lets begin

The volume is 113,379,904 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 484 for the side length: V = 484³ = 113,379,904 cm³.

Well explained 👍

Problem 3

How much larger is 484³ than 240³?

Okay, lets begin

484³ – 240³ = 107,379,904.

Explanation

First, find the cube of 484³, that is 113,379,904.

Next, find the cube of 240³, which is 5,760,000.

Now, find the difference between them using the subtraction method.

113,379,904 – 5,760,000 = 107,619,904.

Therefore, 484³ is 107,619,904 larger than 240³.

Well explained 👍

Problem 4

If a cube with a side length of 484 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 484 cm is 113,379,904 cm³.

Explanation

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

Cubing 484 means multiplying 484 by itself three times: 484 × 484 = 234,256, and then 234,256 × 484 = 113,379,904.

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

Therefore, the volume of the cube is 113,379,904 cm³.

Well explained 👍

Problem 5

Estimate the cube of 483.9 using the cube of 484.

Okay, lets begin

The cube of 483.9 is approximately 113,379,904.

Explanation

First, identify the cube of 484. The cube of 484 is 484³ = 113,379,904.

Since 483.9 is only a tiny bit less than 484, the cube of 483.9 will be almost the same as the cube of 484.

The cube of 483.9 is approximately 113,379,904 because the difference between 483.9 and 484 is very small.

So, we can approximate the value as 113,379,904.

Well explained 👍

FAQs on Cube of 484

1.What are the perfect cubes up to 484?

The perfect cubes up to 484 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 484³?

To calculate 484³, use the multiplication method, 484 × 484 × 484, which equals 113,379,904.

3.What is the meaning of 484³?

484³ means 484 multiplied by itself three times, or 484 × 484 × 484.

4.What is the cube root of 484?

5.Is 484 a perfect cube?

No, 484 is not a perfect cube because no integer multiplied by itself three times equals 484.

Important Glossaries for Cube of 484

  • 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.

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  • 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 product of three identical factors.
  • Cube Root: The number which, when used as a factor three times, gives the original 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.