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Last updated on May 28th, 2025

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Cube of 474

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

Cube of 474 for Indian Students
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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.

 

cube of 474

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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
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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.

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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 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.

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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.

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Tips and Tricks for the Cube of 474

  • 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 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:

Mistake 1

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Incorrect Multiplication

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Kids might multiply the numbers only twice. That is, 474 × 474 and not 474 × 474 × 474. Always remember that 474³ = 474 × 474 × 474.

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Solved Examples on Cube of 474

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Problem 1

What is the cube and cube root of 474?

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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.

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Problem 2

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

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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.

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Problem 3

How much larger is 474³ than 473³?

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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.

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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?

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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.

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Problem 5

Estimate the cube of 473.9 using the cube of 474.

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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.

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FAQs on Cube of 474

1.What are the perfect cubes up to 474?

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2.How do you calculate 474³?

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3.What is the meaning of 474³?

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4.What is the cube root of 474?

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5.Is 474 a perfect cube?

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

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7.How can cultural or local activities in India support learning Algebra topics such as Cube of 474?

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8.How do technology and digital tools in India support learning Algebra and Cube of 474?

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

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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.
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About BrightChamps in India

At BrightChamps, algebra is more than just calculations—it’s a key to endless opportunities! We’re dedicated to helping kids throughout India learn essential math skills, focusing today on the Cube of 474, with an engaging emphasis on understanding cubes—in a way that’s clear, lively, and fun. Whether your child is working out how fast a train passes by, following scores during a cricket match, or managing their pocket money to buy new gadgets, mastering algebra equips them with the confidence needed for daily life. Our interactive classes make learning easy and enjoyable. Since children in India learn in different ways, we customize our approach to fit each child’s unique learning style. From the busy markets of Mumbai to Delhi’s vibrant streets, BrightChamps makes algebra relatable and exciting all across India. Let’s make cubes a delightful part of every child’s math journey!
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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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