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Last updated on June 3rd, 2025

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Cube of 696

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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 696.

Cube of 696 for Thai Students
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Cube of 696

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 696 can be written as 6963, which is the exponential form. Or it can also be written in arithmetic form as, 696 × 696 × 696.

 

cube of 696

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How to Calculate the Value of Cube of 696

In order 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 in cubing 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.6963 = 696 x 696 x 696

 

Step 2: You get 337,106,976 as the answer. Hence, the cube of 696 is 337,106,976.

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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 696 into two parts. Let a = 700 and b = -4, so a + b = 696

 

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

 

Step 3: Calculate each term

 

a3 = 7003

 

3a2b = 3 x 7002 x (-4)

 

3ab2 = 3 x 700 x (-4)2

 

b3 = (-4)3

 

Step 4: Add all the terms together:

 

(a + b)3 = a3 + 3a2b + 3ab2 + b3

 

(700 - 4)3 = 7003 + 3 x 7002 x (-4) + 3 x 700 x 16 + (-64)

 

6963 = 343,000,000 - 5,880,000 + 33,600 - 64

 

6963 = 337,106,976

 

Step 5: Hence, the cube of 696 is 337,106,976.

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Using a Calculator

To find the cube of 696 using a calculator, input the number 696 and use the cube function (if available) or multiply 696 × 696 × 696. This operation calculates the value of 6963, resulting in 337,106,976. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 6 followed by 9 and 6

 

Step 3: If the calculator has a cube function, press it to calculate 6963.

 

Step 4: If there is no cube function on the calculator, simply multiply 696 three times manually.

 

Step 5: The calculator will display 337,106,976.

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Tips and Tricks for the Cube of 696

  • 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 696

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

Mistake 1

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Incorrect Multiplication

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One might multiply the numbers only twice. That is, 696 × 696 and not 696 × 696 × 696. Always remember that 6963 = 696 x 696 x 696.

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Solved Examples on Cube of 696

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Problem 1

What is the cube and cube root of 696?

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The cube of 696 is 337,106,976, and the cube root of 696 is approximately 8.878.

Explanation

First, let’s find the cube of 696.

 

We know that the cube of a number, such that \(x^3 = y\) Where \(x\) is the given number, and \(y\) is the cubed value of that number.

 

So, we get 6963 = 337,106,976

 

Next, we must find the cube root of 696. 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 ∛696 = 8.878

 

Hence the cube of 696 is 337,106,976, and the cube root of 696 is approximately 8.878.

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Problem 2

If the side length of a cube is 696 cm, what is the volume?

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The volume is 337,106,976 cm³.

Explanation

Use the volume formula for a cube V = Side3.

 

Substitute 696 for the side length: V = 6963 = 337,106,976 cm³.

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Problem 3

If the volume of a cube is 337,106,976 cm³, what is the length of each side?

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The length of each side is 696 cm.

Explanation

Use the cube root to find the side length of the cube:

 

If V = Side3 = 337,106,976, then Side = ∛337,106,976 = 696 cm.

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Problem 4

How much larger is 696³ than 500³?

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696³ – 500³ = 251,106,976.

Explanation

First find the cube of 696, which is 337,106,976.

 

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

 

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

 

337,106,976 – 125,000,000 = 212,106,976.

 

Therefore, 696³ is 212,106,976 larger than 500³.

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Problem 5

Estimate the cube 695 using the cube of 696.

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The cube of 695 is approximately 337,106,976.

Explanation

First, identify the cube of 696, The cube of 696 is 6963 = 337,106,976.

 

Since 695 is only a tiny bit less than 696, the cube of 695 will be almost the same as the cube of 696.

 

The cube of 695 is approximately 337,106,976 because the difference between 695 and 696 is very small.

 

So, we can approximate the value as 337,106,976.

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FAQs on Cube of 696

1.What are the perfect cubes up to 696?

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2.How do you calculate 696³?

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3.What is the meaning of 696³?

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4.What is the cube root of 696?

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5.Is 696 a perfect cube?

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

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7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube of 696?

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8.How do technology and digital tools in Thailand support learning Algebra and Cube of 696?

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

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Professor Greenline from BrightChamps

Important Glossaries for Cube of 696

  • Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)³, 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. 

 

  • Perfect Cube: A number that can be expressed as the cube of an integer. 

 

  • Volume of a Cube: The amount of space occupied by a cube, calculated as the side length raised to the power of three.
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About BrightChamps in Thailand

At BrightChamps, algebra goes beyond just numbers—it’s the key to countless opportunities! We strive to help children across Thailand master important math skills, like today’s focus on the Cube of 696, with an exciting look at cubes—in a lively, easy-to-understand, and fun way. Whether your child is calculating how fast a roller coaster moves at Dream World, tracking scores at a local football game, or managing their allowance for the newest gadgets, knowing algebra builds the confidence they need every day. Our interactive lessons keep math fun and simple. Because children in Thailand learn in diverse ways, we adapt our teaching to fit each child’s unique style. From bustling Bangkok streets to Phuket’s tropical islands, BrightChamps makes algebra relatable and exciting throughout Thailand. Let’s make cubes a joyful 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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