Cube of 980
2026-02-28 13:38 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 980.

Cube of 980

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 980 can be written as 980³, which is the exponential form. Or it can also be written in arithmetic form as 980 × 980 × 980.

How to Calculate the Value of Cube of 980

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.

  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. 980³ = 980 × 980 × 980

Step 2: You get 941,192,000 as the answer. Hence, the cube of 980 is 941,192,000.

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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 980 into two parts. Let a = 900 and b = 80, so a + b = 980

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

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × 80

3ab² = 3 × 900 × 80²

b³ = 80³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 80)³ = 900³ + 3 × 900² × 80 + 3 × 900 × 80² + 80³

980³ = 729,000,000 + 194,400,000 + 172,800,000 + 512,000

980³ = 941,192,000

Step 5: Hence, the cube of 980 is 941,192,000.

Using a Calculator

To find the cube of 980 using a calculator, input the number 980 and use the cube function (if available) or multiply 980 × 980 × 980. This operation calculates the value of 980³, resulting in 941,192,000. 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 and 0

Step 3: If the calculator has a cube function, press it to calculate 980³.

Step 4: If there is no cube function on the calculator, simply multiply 980 three times manually.

Step 5: The calculator will display 941,192,000.

Tips and Tricks for the Cube of 980

  • 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 980

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 980?

Okay, lets begin

The cube of 980 is 941,192,000 and the cube root of 980 is 9.937.

Explanation

First, let’s find the cube of 980.

We know that the cube of a number is obtained by multiplying the number by itself three times. So, we get 980³ = 941,192,000.

Next, we must find the cube root of 980.

The cube root of a number is a value that, when multiplied by itself three times, gives the original number.

So, we get the cube root of 980 ≈ 9.937.

Hence, the cube of 980 is 941,192,000 and the cube root of 980 is approximately 9.937.

Well explained 👍

Problem 2

If the side length of a cube is 980 cm, what is the volume?

Okay, lets begin

The volume is 941,192,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 980 for the side length: V = 980³ = 941,192,000 cm³.

Well explained 👍

Problem 3

How much larger is 980³ than 900³?

Okay, lets begin

980³ – 900³ = 212,192,000.

Explanation

First, find the cube of 980, which is 941,192,000.

Next, find the cube of 900, which is 729,000,000.

Now, find the difference between them using the subtraction method. 941,192,000 – 729,000,000 = 212,192,000.

Therefore, the cube of 980 is 212,192,000 larger than the cube of 900.

Well explained 👍

Problem 4

If a cube with a side length of 980 cm is compared to a cube with a side length of 80 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 980 cm is 941,192,000 cm³.

Explanation

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

Cubing 980 means multiplying 980 by itself three times: 980 × 980 = 960,400, and then 960,400 × 980 = 941,192,000.

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

Therefore, the volume of the cube is 941,192,000 cm³.

Well explained 👍

Problem 5

Estimate the cube of 979.9 using the cube of 980.

Okay, lets begin

The cube of 979.9 is approximately 941,192,000.

Explanation

First, identify the cube of 980, The cube of 980 is 980³ = 941,192,000.

Since 979.9 is only a tiny bit less than 980, the cube of 979.9 will be almost the same as the cube of 980.

The cube of 979.9 is approximately 941,192,000 because the difference between 979.9 and 980 is very small.

So, we can approximate the value as 941,192,000.

Well explained 👍

FAQs on Cube of 980

1.What are the perfect cubes up to 980?

The perfect cubes up to 980 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 980³?

To calculate 980³, use the multiplication method: 980 × 980 × 980, which equals 941,192,000.

3.What is the meaning of 980³?

980³ means 980 multiplied by itself three times, or 980 × 980 × 980.

4.What is the cube root of 980?

5.Is 980 a perfect cube?

No, 980 is not a perfect cube because no integer multiplied by itself three times equals 980.

Important Glossaries for Cube of 980

  • 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 cube of an integer.
  • Cube Root: The value that, when multiplied by itself three times, gives the original number.

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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.