Cube of 474
2026-02-28 13:43 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-474

196 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 474.

Cube of 474

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 474 can be written as 474³, which is the exponential form. Or it can also be written in arithmetic form as, 474 × 474 × 474.

How to Calculate the Value of Cube of 474

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. 474³ = 474 × 474 × 474

Step 2: You get 106,662,024 as the answer. Hence, the cube of 474 is 106,662,024.

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 474 into two parts, as 470 and 4. Let a = 470 and b = 4, so a + b = 474

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

Step 3: Calculate each term a³ = 470³ 3a²b = 3 × 470² × 4 3ab² = 3 × 470 × 4² b³ = 4³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (470 + 4)³ = 470³ + 3 × 470² × 4 + 3 × 470 × 4² + 4³ 474³ = 103,823,000 + 26,568 + 22,560 + 64 474³ = 106,662,024

Step 5: Hence, the cube of 474 is 106,662,024.

Using a Calculator

To find the cube of 474 using a calculator, input the number 474 and use the cube function (if available) or multiply 474 × 474 × 474. This operation calculates the value of 474³, resulting in 106,662,024. 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 then 4

Step 3: If the calculator has a cube function, press it to calculate 474³.

Step 4: If there is no cube function on the calculator, simply multiply 474 three times manually.

Step 5: The calculator will display 106,662,024.

Tips and Tricks for the Cube of 474

  • 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 474

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 474?

Okay, lets begin

The cube of 474 is 106,662,024 and the cube root of 474 is approximately 7.779.

Explanation

First, let’s find the cube of 474.

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 474³ = 106,662,024

Next, we must find the cube root of 474 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 ∛474 ≈ 7.779

Hence the cube of 474 is 106,662,024 and the cube root of 474 is approximately 7.779.

Well explained 👍

Problem 2

If the side length of the cube is 474 cm, what is the volume?

Okay, lets begin

The volume is 106,662,024 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 474 for the side length: V = 474³ = 106,662,024 cm³.

Well explained 👍

Problem 3

How much larger is 474³ than 473³?

Okay, lets begin

474³ – 473³ = 1,066,323.

Explanation

First find the cube of 474³, that is 106,662,024

Next, find the cube of 473³, which is 105,595,701

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

106,662,024 – 105,595,701 = 1,066,323

Therefore, the 474³ is 1,066,323 larger than 473³.

Well explained 👍

Problem 4

If a cube with a side length of 474 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 474 cm is 106,662,024 cm³

Explanation

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

Cubing 474 means multiplying 474 by itself three times: 474 × 474 = 224,676, and then 224,676 × 474 = 106,662,024.

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

Therefore, the volume of the cube is 106,662,024 cm³.

Well explained 👍

Problem 5

Estimate the cube of 473.9 using the cube of 474.

Okay, lets begin

The cube of 473.9 is approximately 106,662,024.

Explanation

First, identify the cube of 474, The cube of 474 is 474³ = 106,662,024.

Since 473.9 is only a tiny bit less than 474, the cube of 473.9 will be almost the same as the cube of 474.

The cube of 473.9 is approximately 106,662,024 because the difference between 473.9 and 474 is very small.

So, we can approximate the value as 106,662,024.

Well explained 👍

FAQs on Cube of 474

1.What are the perfect cubes up to 474?

The perfect cubes up to 474 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 474³?

To calculate 474³, use the multiplication method, 474 × 474 × 474, which equals 106,662,024.

3.What is the meaning of 474³?

474³ means 474 multiplied by itself three times, or 474 × 474 × 474.

4.What is the cube root of 474?

5.Is 474 a perfect cube?

No, 474 is not a perfect cube because no integer multiplied by itself three times equals 474.

Important Glossaries for Cube of 474

  • 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.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
  • Multiplication Method: A method for finding the product of numbers by multiplying them directly, often used in calculating powers such as squares or cubes.

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.