Cube of 697
2026-02-28 14:06 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-697

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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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 697.

Cube of 697

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 697 can be written as 697³, which is the exponential form. Or it can also be written in arithmetic form as, 697 × 697 × 697.

How to Calculate the Value of Cube of 697

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. 697³ = 697 × 697 × 697

Step 2: You get 338,985,073 as the answer. Hence, the cube of 697 is 338,985,073.

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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 697 into two parts. Let a = 700 and b = -3, so a + b = 697

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × (-3)

3ab² = 3 × 700 × (-3)²

b³ = (-3)³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 - 3)³ = 700³ + 3 × 700² × (-3) + 3 × 700 × 9 + (-27)

697³ = 343,000,000 - 4,410,000 + 18,900 - 27

697³ = 338,985,073

Step 5: Hence, the cube of 697 is 338,985,073.

Using a Calculator

To find the cube of 697 using a calculator, input the number 697 and use the cube function (if available) or multiply 697 × 697 × 697. This operation calculates the value of 697³, resulting in 338,985,073. 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 7.

Step 3: If the calculator has a cube function, press it to calculate 697³.

Step 4: If there is no cube function on the calculator, simply multiply 697 three times manually.

Step 5: The calculator will display 338,985,073.

Tips and Tricks for the Cube of 697

  • 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 697

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:

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Problem 1

What is the cube and cube root of 697?

Okay, lets begin

The cube of 697 is 338,985,073 and the cube root of 697 is approximately 8.843.

Explanation

First, let’s find the cube of 697.

We know that the 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 697³ = 338,985,073

Next, we must find the cube root of 697.

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 ∛697 ≈ 8.843

Hence the cube of 697 is 338,985,073 and the cube root of 697 is approximately 8.843.

Well explained 👍

Problem 2

If the side length of a cube is 697 cm, what is the volume?

Okay, lets begin

The volume is 338,985,073 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 697 for the side length: V = 697³ = 338,985,073 cm³.

Well explained 👍

Problem 3

How much larger is 697³ than 487³?

Okay, lets begin

697³ - 487³ = 293,949,016.

Explanation

First find the cube of 697, that is 338,985,073.

Next, find the cube of 487, which is 45,036,057.

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

338,985,073 - 45,036,057 = 293,949,016.

Therefore, 697³ is 293,949,016 larger than 487³.

Well explained 👍

Problem 4

If a cube with a side length of 697 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 697 cm is 338,985,073 cm³.

Explanation

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

Cubing 697 means multiplying 697 by itself three times: 697 × 697 = 485,809, and then 485,809 × 697 = 338,985,073.

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

Therefore, the volume of the cube is 338,985,073 cm³.

Well explained 👍

Problem 5

Estimate the cube of 696.9 using the cube of 697.

Okay, lets begin

The cube of 696.9 is approximately 338,985,073.

Explanation

First, identify the cube of 697. The cube of 697 is 697³ = 338,985,073.

Since 696.9 is only a tiny bit less than 697, the cube of 696.9 will be almost the same as the cube of 697.

The cube of 696.9 is approximately 338,985,073 because the difference between 696.9 and 697 is very small.

So, we can approximate the value as 338,985,073.

Well explained 👍

FAQs on Cube of 697

1.Is 697 a perfect cube?

No, 697 is not a perfect cube because no integer multiplied by itself three times equals 697.

2.How do you calculate 697³?

To calculate 697³, use the multiplication method, 697 × 697 × 697, which equals 338,985,073.

3.What is the meaning of 697³?

697³ means 697 multiplied by itself three times, or 697 × 697 × 697.

4.What is the cube root of 697?

5.What are the perfect cubes up to 697?

The perfect cubes up to 697 are 1, 8, 27, 64, 125, 216, 343, and 512.

Important Glossaries for Cube of 697

  • 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.
  • Perfect Cube: A number that is the cube of an integer.
  • Volume of a Cube: The amount of space occupied by a cube, calculated as the cube of its side length.

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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.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.