Cube of 698
2026-02-28 13:06 Diff
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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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 698.

Cube of 698

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 698 can be written as 6983, which is the exponential form. Or it can also be written in arithmetic form as, 698 × 698 × 698.

How to Calculate the Value of Cube of 698

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 (a^3), 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. 698^3 = 698 × 698 × 698

Step 2: You get 340,482,152 as the answer. Hence, the cube of 698 is 340,482,152.

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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 698 into two parts, as 600 and 98. Let a = 600 and b = 98, so a + b = 698

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

Step 3: Calculate each term a3 = 6003

3a2b = 3 × 6002 × 98

3ab2 = 3 × 600 × 982

b3 = 983

Step 4: Add all the terms together:

(a + b)3 = a3 + 3a2b + 3ab2 + b3

(600 + 98)3 = 6003 + 3 × 6002 × 98 + 3 × 600 × 982 + 983

6983 = 216,000,000 + 105,840,000 + 17,304,000 + 941,192

6983 = 340,482,152

Step 5: Hence, the cube of 698 is 340,482,152.

Using a Calculator

To find the cube of 698 using a calculator, input the number 698 and use the cube function (if available) or multiply 698 × 698 × 698. This operation calculates the value of 6983, resulting in 340,482,152. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Input 698

Step 3: If the calculator has a cube function, press it to calculate 6983.

Step 4: If there is no cube function on the calculator, simply multiply 698 three times manually.

Step 5: The calculator will display 340,482,152.

Tips and Tricks for the Cube of 698

  • 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 698

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 698?

Okay, lets begin

The cube of 698 is 340,482,152 and the cube root of 698 is approximately 8.845.

Explanation

First, let’s find the cube of 698.

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 6983 = 340,482,152

Next, we must find the cube root of 698 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 ∛698 ≈ 8.845

Hence, the cube of 698 is 340,482,152 and the cube root of 698 is approximately 8.845.

Well explained 👍

Problem 2

If the side length of the cube is 698 cm, what is the volume?

Okay, lets begin

The volume is 340,482,152 cm3.

Explanation

Use the volume formula for a cube V = Side3. Substitute 698 for the side length: V = 6983 = 340,482,152 cm3

Well explained 👍

Problem 3

How much larger is 698^3 than 598³?

Okay, lets begin

6983 – 5983 = 182,944,152.

Explanation

First find the cube of 698, that is 340,482,152

Next, find the cube of 598, which is 157,538,000

Now, find the difference between them using the subtraction method. 340,482,152 – 157,538,000 = 182,944,152

Therefore, 6983 is 182,944,152 larger than 5983.

Well explained 👍

Problem 4

If a cube with a side length of 698 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 698 cm is 340,482,152 cm3.

Explanation

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

Cubing 698 means multiplying 698 by itself three times: 698 × 698 = 487,204, and then 487,204 × 698 = 340,482,152.

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

Therefore, the volume of the cube is 340,482,152 cm3.

Well explained 👍

Problem 5

Estimate the cube 697.5 using the cube 698.

Okay, lets begin

The cube of 697.5 is approximately 340,482,152.

Explanation

First, identify the cube of 698, The cube of 698 is 6983 = 340,482,152.

Since 697.5 is only a tiny bit less than 698, the cube of 697.5 will be almost the same as the cube of 698.

The cube of 697.5 is approximately 340,482,152 because the difference between 697.5 and 698 is very small.

So, we can approximate the value as 340,482,152.

Well explained 👍

FAQs on Cube of 698

1.What are the perfect cubes up to 698?

The perfect cubes up to 698 include 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate 698³?

To calculate 6983, use the multiplication method, 698 × 698 × 698, which equals 340,482,152.

3.What is the meaning of 698³?

6983 means 698 multiplied by itself three times, or 698 × 698 × 698.

4.What is the cube root of 698?

5.Is 698 a perfect cube?

No, 698 is not a perfect cube because no integer multiplied by itself three times equals 698.

Important Glossaries for Cube of 698

  • 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.
  • Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more, such as 27 (3 × 3 × 3).
  • Cube Root: The value that, when multiplied by itself three times, gives the original number. For example, the cube root of 27 is 3.

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