Cube of 98
2026-02-28 09:57 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 98.

Cube of 98

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 98 can be written as 98³, which is the exponential form.

Or it can also be written in arithmetic form as, 98 × 98 × 98.

How to Calculate the Value of Cube of 98

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.

  • By Multiplication Method
     
  • Using a Formula (a3)
     
  • 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. 98³ = 98 × 98 × 98

Step 2: You get 941,192 as the answer.

Hence, the cube of 98 is 941,192.

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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 98 into two parts. Let a = 90 and b = 8, so a + b = 98

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

Step 3: Calculate each term a³ = 90³ 3a²b = 3 × 90² × 8 3ab² = 3 × 90 × 8² b³ = 8³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (90 + 8)³ = 90³ + 3 × 90² × 8 + 3 × 90 × 8² + 8³ 98³ = 729,000 + 194,400 + 17,280 + 512 98³ = 941,192

Step 5: Hence, the cube of 98 is 941,192.

Using a Calculator

To find the cube of 98 using a calculator, input the number 98 and use the cube function (if available) or multiply 98 × 98 × 98. This operation calculates the value of 98³, resulting in 941,192. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9 followed by 8

Step 3: If the calculator has a cube function, press it to calculate 98³.

Step 4: If there is no cube function on the calculator, simply multiply 98 three times manually.

Step 5: The calculator will display 941,192.

Tips and Tricks for the Cube of 98

  • 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.

Common Mistakes to Avoid When Calculating the Cube of 98

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 98?

Okay, lets begin

The cube of 98 is 941,192, and the cube root of 98 is approximately 4.6348.

Explanation

First, let’s find the cube of 98.

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 98³ = 941,192

Next, we must find the cube root of 98 We know that the cube root of a number ‘x’, such that ³√x = y

Where ‘x’ is the given number, and y is the cube root value of the number

So, we get ³√98 ≈ 4.6348

Hence the cube of 98 is 941,192, and the cube root of 98 is approximately 4.6348.

Well explained 👍

Problem 2

If the side length of the cube is 98 cm, what is the volume?

Okay, lets begin

The volume is 941,192 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 98 for the side length: V = 98³ = 941,192 cm³.

Well explained 👍

Problem 3

How much larger is 98³ than 88³?

Okay, lets begin

98³ – 88³ = 372,752.

Explanation

First, find the cube of 98³, which is 941,192.

Next, find the cube of 88³, which is 568,440.

Now, find the difference between them using the subtraction method. 941,192 – 568,440 = 372,752

Therefore, 98³ is 372,752 larger than 88³.

Well explained 👍

Problem 4

If a cube with a side length of 98 cm is compared to a cube with a side length of 18 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 98 cm is 941,192 cm³.

Explanation

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

Cubing 98 means multiplying 98 by itself three times: 98 × 98 = 9,604, and then 9,604 × 98 = 941,192.

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

Therefore, the volume of the cube is 941,192 cm³.

Well explained 👍

Problem 5

Estimate the cube 97.9 using the cube 98.

Okay, lets begin

The cube of 97.9 is approximately 941,192.

Explanation

First, identify the cube of 98,

The cube of 98 is 98³ = 941,192.

Since 97.9 is only a tiny bit less than 98, the cube of 97.9 will be almost the same as the cube of 98.

The cube of 97.9 is approximately 941,192 because the difference between 97.9 and 98 is very small.

So, we can approximate the value as 941,192.

Well explained 👍

FAQs on Cube of 98

1.What are the perfect cubes up to 98?

The perfect cubes up to 98 are 1, 8, 27, 64, and 125.

2.How do you calculate 98³?

To calculate 98³, use the multiplication method, 98 × 98 × 98, which equals 941,192.

3.What is the meaning of 98³?

98³ means 98 multiplied by itself three times, or 98 × 98 × 98.

4.What is the cube root of 98?

5.Is 98 a perfect cube?

No, 98 is not a perfect cube because no integer multiplied by itself three times equals 98.

Important Glossaries for Cube of 98

  • 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 can be expressed as the cube of an integer.
  • Volume of a Cube: Calculated as the side length raised to the power of three, representing the space inside the cube.

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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.