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Last updated on May 30th, 2025

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Cube of 11

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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 for US Students
Professor Greenline from BrightChamps

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.

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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
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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.

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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.

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Tips and Tricks for the Cube of 11

  • 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.
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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:

Mistake 1

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Incorrect Multiplication

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Kids might multiply the numbers only twice. That is, \(11 \times 11\) and not \(11 \times 11 \times 11\). Always remember that \(11^3 = 11 \times 11 \times 11\).

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Solved Examples on Cube of 11

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Problem 1

What is the cube and cube root of 11?

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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.

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Problem 2

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

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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.

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Problem 3

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

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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, 11is 602 larger than 93.

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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?

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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.

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Problem 5

Estimate the cube of 10.9 using the cube of 11.

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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.

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FAQs on Cube of 11

1.What are the perfect cubes up to 11?

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

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

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4.What is the cube root of 11?

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5.Is 11 a perfect cube?

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6.How does learning Algebra help students in United States make better decisions in daily life?

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7.How can cultural or local activities in United States support learning Algebra topics such as Cube of 11?

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8.How do technology and digital tools in United States support learning Algebra and Cube of 11?

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9.Does learning Algebra support future career opportunities for students in United States?

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Professor Greenline from BrightChamps

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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About BrightChamps in United States

At BrightChamps, we believe algebra is more than just symbols—it’s a gateway to endless possibilities! Our goal is to support kids all across the United States in mastering essential math concepts, like today’s focus on the Cube of 11, especially the fascinating world of cubes—in a way that’s engaging, clear, and enjoyable. Whether your child is calculating how quickly a roller coaster zooms through Disney World, tracking scores at a Little League baseball game, or budgeting their allowance for new gadgets, understanding algebra builds the confidence they need for daily life. Our hands-on lessons make math both accessible and fun. Since children in the USA learn in diverse ways, we customize our teaching to match each student’s learning style. From the energetic streets of New York City to the sunny beaches of California, BrightChamps brings algebra to life, making it exciting and relevant across America. Let’s make cubes an exciting part of every child’s math journey!
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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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Fun Fact

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

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