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Last updated on June 2nd, 2025

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Cube of 717

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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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 717.

Cube of 717 for Omani Students
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Cube of 717

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 717 can be written as 717³, which is the exponential form. Or it can also be written in arithmetic form as 717 × 717 × 717.

 

cube of 717

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How to Calculate the Value of Cube of 717

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 numbers 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. 717³ = 717 × 717 × 717

 

Step 2: You get 368,173,053 as the answer. Hence, the cube of 717 is 368,173,053.

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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 717 into two parts, as a and b. Let a = 700 and b = 17, so a + b = 717

 

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

 

Step 3: Calculate each term

 

a³ = 700³

 

3a²b = 3 × 700² × 17

 

3ab² = 3 × 700 × 17²

 

b³ = 17³

 

Step 4: Add all the terms together:

 

(a + b)³ = a³ + 3a²b + 3ab² + b³

 

(700 + 17)³ = 700³ + 3 × 700² × 17 + 3 × 700 × 17² + 17³

 

717³ = 343,000,000 + 24,990,000 + 202,230 + 4,913

 

717³ = 368,173,053

 

Step 5: Hence, the cube of 717 is 368,173,053.

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Using a Calculator

To find the cube of 717 using a calculator, input the number 717 and use the cube function (if available) or multiply 717 × 717 × 717. This operation calculates the value of 717³, resulting in 368,173,053. 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 1 and 7

 

Step 3: If the calculator has a cube function, press it to calculate 717³.

 

Step 4: If there is no cube function on the calculator, simply multiply 717 three times manually.

 

Step 5: The calculator will display 368,173,053.

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Tips and Tricks for the Cube of 717

  • 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 717

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, 717 × 717 and not 717 × 717 × 717. Always remember that 717³ = 717 × 717 × 717.

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Solved Examples on Cube of 717

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Problem 1

What is the cube and cube root of 717?

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The cube of 717 is 368,173,053 and the cube root of 717 is approximately 8.938.

Explanation

First, let’s find the cube of 717.

 

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

 

So, we get 717³ = 368,173,053.

 

Next, we must find the cube root of 717. We know that the cube root of a number x is calculated as ∛x = y, where x is the given number, and y is the cube root value of the number.

 

So, we get ∛717 ≈ 8.938.

 

Hence, the cube of 717 is 368,173,053 and the cube root of 717 is approximately 8.938.

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Problem 2

If the side length of the cube is 717 cm, what is the volume?

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The volume is 368,173,053 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 717 for the side length: V = 717³ = 368,173,053 cm³.

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Problem 3

How much larger is 717³ than 700³?

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717³ – 700³ = 25,173,053.

Explanation

First, find the cube of 717, which is 368,173,053.

 

Next, find the cube of 700, which is 343,000,000.

 

Now, find the difference between them using the subtraction method. 368,173,053 – 343,000,000 = 25,173,053.

 

Therefore, 717³ is 25,173,053 larger than 700³.

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Problem 4

If a cube with a side length of 717 cm is compared to a cube with a side length of 17 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 717 cm is 368,173,053 cm³.

Explanation

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

 

Cubing 717 means multiplying 717 by itself three times: 717 × 717 = 514,089, and then 514,089 × 717 = 368,173,053.

 

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

 

Therefore, the volume of the cube is 368,173,053 cm³.

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Problem 5

Estimate the cube of 716.9 using the cube of 717.

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The cube of 716.9 is approximately 368,173,053.

Explanation

First, identify the cube of 717, The cube of 717 is 717³ = 368,173,053.

 

Since 716.9 is only a tiny bit less than 717, the cube of 716.9 will be almost the same as the cube of 717.

 

The cube of 716.9 is approximately 368,173,053 because the difference between 716.9 and 717 is very small.

 

So, we can approximate the value as 368,173,053.

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FAQs on Cube of 717

1.What are the perfect cubes up to 717?

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2.How do you calculate 717³?

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3.What is the meaning of 717³?

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4.What is the cube root of 717?

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5.Is 717 a perfect cube?

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

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7.How can cultural or local activities in Oman support learning Algebra topics such as Cube of 717?

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8.How do technology and digital tools in Oman support learning Algebra and Cube of 717?

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

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Important Glossaries for Cube of 717

  • 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, which equals 8.

 

  • Cube Root: The cube root of a number is a special value that, when used in a multiplication three times, gives that number.

 

  • Volume of a Cube: The amount of space occupied by a cube, calculated as the cube of its side length.
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About BrightChamps in Oman

At BrightChamps, algebra is more than just digits—it’s a path to endless opportunities! We focus on helping children across Oman develop important math skills, like today’s focus on the Cube of 717, especially understanding cubes—in a fun, engaging, and easy-to-follow way. Whether your child is calculating how fast a roller coaster moves at Oman’s Dreamland Aqua Park, keeping track of scores at local sports events, or managing their allowance for the latest gadgets, mastering algebra gives them the confidence to meet everyday challenges. Our interactive lessons make math learning enjoyable and straightforward. Because children in Oman learn in diverse ways, we tailor our teaching to match each child’s style. From the vibrant city of Muscat to Oman’s natural landscapes, BrightChamps brings algebra to life, making it exciting and relatable throughout Oman. 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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