Cube of 11
2026-02-28 08:19 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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 11.

Cube of 11

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 multiplying a negative number by itself three times results in a negative number.

The cube of 11 can be written as 113, which is the exponential form. Or it can also be written in arithmetic form as 11 x 11 x 11.

How to Calculate the Value of Cube of 11

In order to check whether a number is a cube number or not, we can use the following three methods: the multiplication method, a factor formula (a3), or by using a calculator. These three methods will help kids cube 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. 113 = 11 x 11 x 11

Step 2: You get 1,331 as the answer. Hence, the cube of 11 is 1,331.

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Using a Formula (\(a^3\))

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 11 into two parts, such as 6 and 5. Let a = 6 and b = 5, so a + b = 11.

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

Step 3: Calculate each term: a3 = 63

3a2b = 3 x 62 x 5

3ab2 = 3 x 6 x 52

b3 = 53

Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3

6 + 53 = 63 + 3 x 62 x 5 + 3 x 6 x 52 + 53

113 = 216 + 540 + 450 + 125

113 = 1,331

Step 5: Hence, the cube of 11 is 1,331.

Using a Calculator

To find the cube of 11 using a calculator, input the number 11 and use the cube function (if available) or multiply 11 x11 x11. This operation calculates the value of 113, resulting in 1,331. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 followed by 1.

Step 3: If the calculator has a cube function, press it to calculate 113.

Step 4: If there is no cube function on the calculator, simply multiply 11 three times manually.

Step 5: The calculator will display 1,331.

Tips and Tricks for the Cube of 11

  • 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 11

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 11?

Okay, lets begin

The cube of 11 is 1,331 and the cube root of 11 is approximately 2.224.

Explanation

First, let’s find the cube of 11. We know that the cube of a number is such that x3 = y, where x is the given number, and y is the cubed value of that number.

So, we get 113 = 1,331. Next, we must find the cube root of 11.

We know that the cube root of a number ‘x’ is such that ∛x= y, where ‘x’ is the given number, and y is the cube root value of the number.

So, we get ∛ 11 = 2.224.

Hence, the cube of 11 is 1,331 and the cube root of 11 is approximately 2.224.

Well explained 👍

Problem 2

If the side length of a cube is 11 cm, what is the volume?

Okay, lets begin

The volume is 1,331 cm3

Explanation

Use the volume formula for a cube V = Side3.

Substitute 11 for the side length: V = 113 = 1,331  cm3.

Well explained 👍

Problem 3

How much larger is \(11^3\) than \(9^3\)?

Okay, lets begin

113 - 93 = 847.

Explanation

First, find the cube of 113, which is 1,331.

Next, find the cube of 93, which is 729.

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

1,331 - 729 = 602.

Therefore, 113 is 602 larger than 93.

Well explained 👍

Problem 4

If a cube with a side length of 11 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 11 cm is 1,331 cm3.

Explanation

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

Cubing 11 means multiplying 11 by itself three times:(11 x 11 = 121), and then (121 x11 = 1,331). The unit of volume is cubic centimeters (cm3), because we are calculating the space inside the cube

Therefore, the volume of the cube is 1,331 cm3.

Well explained 👍

Problem 5

Estimate the cube of 10.9 using the cube of 11.

Okay, lets begin

The cube of 10.9 is approximately 1,331.

Explanation

First, identify the cube of 11. The cube of 11 is 113 = 1,331. Since 10.9 is only a tiny bit less than 11, the cube of 10.9 will be almost the same as the cube of 11.

The cube of 10.9 is approximately 1,331 because the difference between 10.9 and 11 is very small.

So, we can approximate the value as 1,331.

Well explained 👍

FAQs on Cube of 11

1.What are the perfect cubes up to 11?

The perfect cubes up to 11 are 1, 8, and 27.

2.How do you calculate \(11^3\)?

To calculate 113, use the multiplication method, 11 x 11 x 11, which equals 1,331.

3.What is the meaning of \(11^3\)?

113 means 11 multiplied by itself three times, or 11 x 11 x 11.

4.What is the cube root of 11?

5.Is 11 a perfect cube?

No, 11 is not a perfect cube because no integer multiplied by itself three times equals 11.

Important Glossaries for Cube of 11

  • 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 x 2 x 2, which equals 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Volume of a Cube: The space occupied by a cube, calculated as the cube of its side length, given by the formula V = side3.

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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.