Cube of 472
2026-02-28 17:15 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 useful when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 472.

Cube of 472

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 472 can be written as 472³, which is the exponential form. Or it can also be written in arithmetic form as 472 × 472 × 472.

How to Calculate the Value of Cube of 472

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 students 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. 472³ = 472 × 472 × 472

Step 2: You get 105,884,928 as the answer. Hence, the cube of 472 is 105,884,928.

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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 472 into two parts. Let a = 470 and b = 2, so a + b = 472

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

Step 3: Calculate each term a³ = 470³ 3a²b = 3 × 470² × 2 3ab² = 3 × 470 × 2² b³ = 2³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(470 + 2)³ = 470³ + 3 × 470² × 2 + 3 × 470 × 2² + 2³

472³ = 103823000 + 1323000 + 5640 + 8

472³ = 105,884,928

Step 5: Hence, the cube of 472 is 105,884,928.

Using a Calculator

To find the cube of 472 using a calculator, input the number 472 and use the cube function (if available) or multiply 472 × 472 × 472. This operation calculates the value of 472³, resulting in 105,884,928. 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 7 and 2

Step 3: If the calculator has a cube function, press it to calculate 472³.

Step 4: If there is no cube function on the calculator, simply multiply 472 three times manually.

Step 5: The calculator will display 105,884,928.

Tips and Tricks for the Cube of 472

  • 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 472

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

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Problem 1

What is the cube and cube root of 472?

Okay, lets begin

The cube of 472 is 105,884,928 and the cube root of 472 is approximately 7.778.

Explanation

First, let’s find the cube of 472.

We know that the 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 472³ = 105,884,928

Next, we must find the cube root of 472 We know that the 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 ∛472 ≈ 7.778

Hence, the cube of 472 is 105,884,928 and the cube root of 472 is approximately 7.778.

Well explained 👍

Problem 2

If the side length of a cube is 472 cm, what is the volume?

Okay, lets begin

The volume is 105,884,928 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 472 for the side length: V = 472³ = 105,884,928 cm³.

Well explained 👍

Problem 3

How much larger is 472³ than 470³?

Okay, lets begin

472³ – 470³ = 2,061,928.

Explanation

First find the cube of 472³, which is 105,884,928

Next, find the cube of 470³, which is 103,823,000

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

105,884,928 – 103,823,000 = 2,061,928

Therefore, 472³ is 2,061,928 larger than 470³.

Well explained 👍

Problem 4

If a cube with a side length of 472 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 472 cm is 105,884,928 cm³.

Explanation

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

Cubing 472 means multiplying 472 by itself three times: 472 × 472 = 222,784, and then 222,784 × 472 = 105,884,928.

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

Therefore, the volume of the cube is 105,884,928 cm³.

Well explained 👍

Problem 5

Estimate the cube of 471.9 using the cube of 472.

Okay, lets begin

The cube of 471.9 is approximately 105,884,928.

Explanation

First, identify the cube of 472, The cube of 472 is 472³ = 105,884,928.

Since 471.9 is only a tiny bit less than 472, the cube of 471.9 will be almost the same as the cube of 472.

The cube of 471.9 is approximately 105,884,928 because the difference between 471.9 and 472 is very small.

So, we can approximate the value as 105,884,928.

Well explained 👍

FAQs on Cube of 472

1.What are the perfect cubes up to 472?

Some perfect cubes up to 472 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 472³?

To calculate 472³, use the multiplication method, 472 × 472 × 472, which equals 105,884,928.

3.What is the meaning of 472³?

472³ means 472 multiplied by itself three times, or 472 × 472 × 472.

4.What is the cube root of 472?

5.Is 472 a perfect cube?

No, 472 is not a perfect cube because no integer multiplied by itself three times equals 472.

Important Glossaries for Cube of 472

  • 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 equals 8.
  • Perfect Cube: A number that can be expressed as the product of three equal integers, such as 27, which is 3 × 3 × 3.
  • Volume of a Cube: The amount of space enclosed within a cube, calculated as the side length raised to the third power, or side × side × side.

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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.