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Last updated on June 7th, 2025

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Cube of 797

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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 the cube of 797.

Cube of 797 for Bahraini Students
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Cube of 797

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 797 can be written as 797³, which is the exponential form. Or it can also be written in arithmetic form as, 797 × 797 × 797.

 

cube of 797

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How to Calculate the Value of Cube of 797

In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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. 797³ = 797 × 797 × 797

 

Step 2: You get 506,359,273 as the answer. Hence, the cube of 797 is 506,359,273.

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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 797 into two parts. Let a = 700 and b = 97, so a + b = 797

 

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

 

Step 3: Calculate each term

 

a³ = 700³

 

3a²b = 3 × 700² × 97

 

3ab² = 3 × 700 × 97²

 

b³ = 97³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(700 + 97)³ = 700³ + 3 × 700² × 97 + 3 × 700 × 97² + 97³

 

797³ = 343,000,000 + 142,590,000 + 19,635,300 + 912,673

 

797³ = 506,359,273

 

Step 5: Hence, the cube of 797 is 506,359,273.

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Using a Calculator

To find the cube of 797 using a calculator, input the number 797 and use the cube function (if available) or multiply 797 × 797 × 797. This operation calculates the value of 797³, resulting in 506,359,273. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 7 followed by 9 and 7

 

Step 3: If the calculator has a cube function, press it to calculate 797³.

 

Step 4: If there is no cube function on the calculator, simply multiply 797 three times manually.

 

Step 5: The calculator will display 506,359,273.

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Tips and Tricks for the Cube of 797

  • 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 797

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, 797 × 797 and not 797 × 797 × 797. Always remember that 797³ = 797 × 797 × 797.

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Solved Examples on Cube of 797

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Problem 1

What is the cube and cube root of 797?

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The cube of 797 is 506,359,273 and the cube root of 797 is approximately 9.283.

Explanation

First, let’s find the cube of 797.

 

We know that the cube of a number is x³ = y, where x is the given number, and y is the cubed value of that number.

 

So, we get 797³ = 506,359,273.

 

Next, we must find the cube root of 797.

 

We know that the cube root of a number x is ∛x = y, where x is the given number, and y is the cube root value of the number. So, we get ∛797 ≈ 9.283.

 

Hence, the cube of 797 is 506,359,273 and the cube root of 797 is approximately 9.283.

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Problem 2

If the side length of the cube is 797 cm, what is the volume?

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The volume is 506,359,273 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 797 for the side length: V = 797³ = 506,359,273 cm³.

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Problem 3

How much larger is 797³ than 500³?

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797³ – 500³ = 406,359,273.

Explanation

First, find the cube of 797, which is 506,359,273.

 

Next, find the cube of 500, which is 125,000,000.

 

Now, find the difference between them using the subtraction method. 506,359,273 – 125,000,000 = 381,359,273.

 

Therefore, 797³ is 381,359,273 larger than 500³.

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Problem 4

If a cube with a side length of 797 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 797 cm is 506,359,273 cm³.

Explanation

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

 

Cubing 797 means multiplying 797 by itself three times: 797 × 797 × 797 = 506,359,273.

 

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

 

Therefore, the volume of the cube is 506,359,273 cm³.

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Problem 5

Estimate the cube of 796 using the cube of 797.

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The cube of 796 is approximately 506,359,273.

Explanation

First, identify the cube of 797, The cube of 797 is 797³ = 506,359,273.

 

Since 796 is only a tiny bit less than 797, the cube of 796 will be almost the same as the cube of 797.

 

The cube of 796 is approximately 506,359,273 because the difference between 796 and 797 is very small.

 

So, we can approximate the value as 506,359,273.

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FAQs on Cube of 797

1.What are the perfect cubes up to 797?

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2.How do you calculate 797³?

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3.What is the meaning of 797³?

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4.What is the cube root of 797?

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5.Is 797 a perfect cube?

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

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7.How can cultural or local activities in Bahrain support learning Algebra topics such as Cube of 797?

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8.How do technology and digital tools in Bahrain support learning Algebra and Cube of 797?

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

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Important Glossaries for Cube of 797

  • Binomial Formula: 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: 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 measure of the space inside a cube, calculated as Side³, where "Side" is the length of one of its edges.

 

  • Perfect Cube: A number that can be expressed as the cube of an integer. For example, 27 is a perfect cube because it equals 3³.
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About BrightChamps in Bahrain

At BrightChamps, algebra is more than just digits—it unlocks endless opportunities! We strive to help kids all across Bahrain develop key math skills, focusing today on the Cube of 797 with an exciting look at cubes—in a lively, clear, and enjoyable way. Whether your child is figuring out the speed of a roller coaster at Bahrain’s Wahooo! Waterpark, tracking football scores, or managing their allowance for the latest gadgets, mastering algebra gives them confidence in everyday challenges. Our interactive lessons make math easy and fun. Because kids in Bahrain learn differently, we tailor our teaching to each child’s learning style. From Manama’s lively city life to Bahrain’s peaceful beaches, BrightChamps makes algebra come alive, making it exciting and relevant across Bahrain. Let’s make cubes a fun 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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