Cube of 480
2026-02-28 10:14 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-480

250 Learners

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 the cube of 480.

Cube of 480

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 480 can be written as 480³, which is the exponential form. Or it can also be written in arithmetic form as 480 × 480 × 480.

How to Calculate the Value of Cube of 480

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. 480³ = 480 × 480 × 480

Step 2: You get 110,592,000 as the answer. Hence, the cube of 480 is 110,592,000.

Explore Our Programs

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 480 into two parts, as 400 and 80. Let a = 400 and b = 80, so a + b = 480

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

Step 3: Calculate each term

a³ = 400³

3a²b = 3 × 400² × 80

3ab² = 3 × 400 × 80²

b³ = 80³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(400 + 80)³ = 400³ + 3 × 400² × 80 + 3 × 400 × 80² + 80³

480³ = 64,000,000 + 38,400,000 + 7,680,000 + 512,000

480³ = 110,592,000

Step 5: Hence, the cube of 480 is 110,592,000.

Using a Calculator

To find the cube of 480 using a calculator, input the number 480 and use the cube function (if available) or multiply 480 × 480 × 480. This operation calculates the value of 480³, resulting in 110,592,000. 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 0

Step 3: If the calculator has a cube function, press it to calculate 480³.

Step 4: If there is no cube function on the calculator, simply multiply 480 three times manually.

Step 5: The calculator will display 110,592,000.

Tips and Tricks for the Cube of 480

  • 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 480

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:

Download Worksheets

Problem 1

What is the cube and cube root of 480?

Okay, lets begin

The cube of 480 is 110,592,000 and the cube root of 480 is approximately 7.782.

Explanation

First, let’s find the cube of 480.

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 480³ = 110,592,000.

Next, we must find the cube root of 480. We know that the cube root of a number ‘x’ is 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√480 ≈ 7.782.

Hence the cube of 480 is 110,592,000 and the cube root of 480 is approximately 7.782.

Well explained 👍

Problem 2

If the side length of a cube is 480 cm, what is the volume?

Okay, lets begin

The volume is 110,592,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 480 for the side length: V = 480³ = 110,592,000 cm³.

Well explained 👍

Problem 3

How much larger is 480³ than 400³?

Okay, lets begin

480³ – 400³ = 46,592,000.

Explanation

First, find the cube of 480³, that is 110,592,000.

Next, find the cube of 400³, which is 64,000,000.

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

110,592,000 – 64,000,000 = 46,592,000.

Therefore, 480³ is 46,592,000 larger than 400³.

Well explained 👍

Problem 4

If a cube with a side length of 480 cm is compared to a cube with a side length of 80 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 480 cm is 110,592,000 cm³.

Explanation

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

Cubing 480 means multiplying 480 by itself three times: 480 × 480 = 230,400, and then 230,400 × 480 = 110,592,000.

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

Therefore, the volume of the cube is 110,592,000 cm³.

Well explained 👍

Problem 5

Estimate the cube 479.9 using the cube 480.

Okay, lets begin

The cube of 479.9 is approximately 110,592,000.

Explanation

First, identify the cube of 480. The cube of 480 is 480³ = 110,592,000.

Since 479.9 is only a tiny bit less than 480, the cube of 479.9 will be almost the same as the cube of 480.

The cube of 479.9 is approximately 110,592,000 because the difference between 479.9 and 480 is very small.

So, we can approximate the value as 110,592,000.

Well explained 👍

FAQs on Cube of 480

1.What are the perfect cubes up to 480?

The perfect cubes up to 480 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 480³?

To calculate 480³, use the multiplication method, 480 × 480 × 480, which equals 110,592,000.

3.What is the meaning of 480³?

480³ means 480 multiplied by itself three times, or 480 × 480 × 480.

4.What is the cube root of 480?

5.Is 480 a perfect cube?

No, 480 is not a perfect cube because no integer multiplied by itself three times equals 480.

Important Glossaries for Cube of 480

  • Binomial Formula: An algebraic expression used to expand the powers of a sum, 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 equals 8.
  • Volume of a Cube: The volume of a cube is calculated by raising the side length to the power of three.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. For example, the cube root of 8 is 2, because 2 × 2 × 2 = 8.

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

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.