Cube of 981
2026-02-28 11:58 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-981

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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 the cube of 981.

Cube of 981

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 981 can be written as 981³, which is the exponential form. Or it can also be written in arithmetic form as, 981 × 981 × 981.

How to Calculate the Value of Cube of 981

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 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. 981³ = 981 × 981 × 981

Step 2: You get 944,076,261 as the answer. Hence, the cube of 981 is 944,076,261.

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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 981 into two parts, as 900 and 81. Let a = 900 and b = 81, so a + b = 981

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

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × 81

3ab² = 3 × 900 × 81²

b³ = 81³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 81)³ = 900³ + 3 × 900² × 81 + 3 × 900 × 81² + 81³

981³ = 729,000,000 + 196,830,000 + 5,929,410 + 531,441

981³ = 944,076,261

Step 5: Hence, the cube of 981 is 944,076,261.

Using a Calculator

To find the cube of 981 using a calculator, input the number 981 and use the cube function (if available) or multiply 981 × 981 × 981. This operation calculates the value of 981³, resulting in 944,076,261. 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 1

Step 3: If the calculator has a cube function, press it to calculate 981³.

Step 4: If there is no cube function on the calculator, simply multiply 981 three times manually.

Step 5: The calculator will display 944,076,261.

Tips and Tricks for the Cube of 981

  • 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 981

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 981?

Okay, lets begin

The cube of 981 is 944,076,261 and the cube root of 981 is approximately 9.946.

Explanation

First, let’s find the cube of 981.

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 981³ = 944,076,261

Next, we must find the cube root of 981

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 ∛981 ≈ 9.946

Hence, the cube of 981 is 944,076,261 and the cube root of 981 is approximately 9.946.

Well explained 👍

Problem 2

If the side length of the cube is 981 cm, what is the volume?

Okay, lets begin

The volume is 944,076,261 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 981 for the side length: V = 981³ = 944,076,261 cm³.

Well explained 👍

Problem 3

How much larger is 981³ than 900³?

Okay, lets begin

981³ – 900³ = 215,076,261.

Explanation

First find the cube of 981, that is 944,076,261

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

Now, find the difference between them using the subtraction method. 944,076,261 – 729,000,000 = 215,076,261

Therefore, 981³ is 215,076,261 larger than 900³.

Well explained 👍

Problem 4

If a cube with a side length of 981 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 981 cm is 944,076,261 cm³

Explanation

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

Cubing 981 means multiplying 981 by itself three times: 981 × 981 = 962,361, and then 962,361 × 981 = 944,076,261.

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

Therefore, the volume of the cube is 944,076,261 cm³.

Well explained 👍

Problem 5

Estimate the cube of 980 using the cube of 981.

Okay, lets begin

The cube of 980 is approximately 944,076,261.

Explanation

First, identify the cube of 981, The cube of 981 is 981³ = 944,076,261.

Since 980 is only a tiny bit less than 981, the cube of 980 will be almost the same as the cube of 981.

The cube of 980 is approximately 944,076,261 because the difference between 980 and 981 is very small.

So, we can approximate the value as 944,076,261.

Well explained 👍

FAQs on Cube of 981

1.What are the perfect cubes up to 981?

The perfect cubes up to 981 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 981³?

To calculate 981³, use the multiplication method, 981 × 981 × 981, which equals 944,076,261.

3.What is the meaning of 981³?

981³ means 981 multiplied by itself three times, or 981 × 981 × 981.

4.What is the cube root of 981?

5.Is 981 a perfect cube?

No, 981 is not a perfect cube because no integer multiplied by itself three times equals 981.

Important Glossaries for Cube of 981

  • 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, which equals 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Volume of a Cube: The amount of space enclosed within 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.