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Last updated on June 3rd, 2025

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Cube of 211

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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 cubes of 211.

Cube of 211 for Canadian Students
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Cube of 211

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 211 can be written as 2113, which is the exponential form. Or it can also be written in arithmetic form as 211 × 211 × 211.

cube of 211

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How to Calculate the Value of Cube of 211

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
  • Using a Calculator
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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.

2113 = 211 × 211 × 211

 

Step 2: You get 9,390,931 as the answer.

 

Hence, the cube of 211 is 9,390,931.

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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 211 into two parts, as a and b.

Let a = 210 and b = 1, so a + b = 211

 

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

 

Step 3: Calculate each term (a3= 2103) \(3a2b = 3 \times 210^2 \times 1\) \(3ab^2 = 3 \times 210 \times 1^2\) \(b^3 = 1^3\)

 

Step 4: Add all the terms together: \((a + b)^3 = a^3 + 3a^2b + 3ab^2 + b^3\) \((210 + 1)^3 = 210^3 + 3 \times 210^2 \times 1 + 3 \times 210 \times 1^2 + 1^3\) \(211^3 = 9,261,000 + 132,300 + 630 + 1\) \(211^3 = 9,390,931\) Step 5: Hence, the cube of 211 is 9,390,931.

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Using a Calculator

To find the cube of 211 using a calculator, input the number 211 and use the cube function (if available) or multiply \(211 \times 211 \times 211\). This operation calculates the value of \(211^3\), resulting in 9,390,931. It’s a quick way to determine the cube without manual computation. Step 1: Ensure the calculator is functioning properly. Step 2: Press 2 followed by 1 and 1 Step 3: If the calculator has a cube function, press it to calculate \(211^3\). Step 4: If there is no cube function on the calculator, simply multiply 211 three times manually. Step 5: The calculator will display 9,390,931.

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Tips and Tricks for the Cube of 211

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 211

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, 211 × 211 and not 211 × 211 × 211 . Always remember that 2113 = 211 × 211 × 211.

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Solved Examples on Cube of 211

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Problem 1

What is the cube and cube root of 211?

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The cube of 211 is 9,390,931 and the cube root of 211 is approximately 5.978.

Explanation

First, let’s find the cube of 211.

We know that the cube of a number is such that \(x^3 = y\)

Where \(x\) is the given number, and \(y\) is the cubed value of that number

So, we get (2113 = 9,390,931)

Next, we must find the cube root of 211

We know that the cube root of a number ‘x’ is such that \(\sqrt[3]{x} = y\)

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

So, we get (sqrt[3] (211) = approx 5.978

Hence the cube of 211 is 9,390,931 and the cube root of 211 is approximately 5.978.

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Problem 2

If the side length of the cube is 211 cm, what is the volume?

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The volume is 9,390,931 cm3.

Explanation

Use the volume formula for a cube V= Side3.

Substitute 211 for the side length: V = 2113 = 9,390,931 cm3.

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Problem 3

How much larger is \(211^3\) than \(111^3\)?

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\(211^3 - 111^3 = 8,199,331\).

Explanation

First find the cube of 2113, that is 9,390,931 Next, find the cube of 2113 which is 1,191,600 Now, find the difference between them using the subtraction method. 9,390,931 - 1,191,600 = 8,199,331 Therefore, 211is 8,199,331 larger than 2113.

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Problem 4

If a cube with a side length of 211 cm is compared to a cube with a side length of 21 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 211 cm is 9,390,931 cm\(^3\).

Explanation

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

Cubing 211 means multiplying 211 by itself three times: 211  × 211 = 44,521, and then 44,521  × 211 = 9,390,931.

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

Therefore, the volume of the cube is 9,390,931 cm3.

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Problem 5

Estimate the cube of 210.9 using the cube of 211.

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The cube of 210.9 is approximately 9,390,931.

Explanation

First, identify the cube of 211.

The cube of 211 is (2113 = 9,390,931).

Since 210.9 is only a tiny bit less than 211, the cube of 210.9 will be almost the same as the cube of 211.

The cube of 210.9 is approximately 9,390,931 because the difference between 210.9 and 211 is very small.

So, we can approximate the value as 9,390,931.

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FAQs on Cube of 211

1.What are the perfect cubes up to 211?

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2.How do you calculate \(211^3\)?

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3.What is the meaning of \(211^3\)?

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4.What is the cube root of 211?

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5.Is 211 a perfect cube?

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

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7.How can cultural or local activities in Canada support learning Algebra topics such as Cube of 211?

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8.How do technology and digital tools in Canada support learning Algebra and Cube of 211?

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

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Important Glossaries for Cube of 211

  • 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 to 8.

     
  • Perfect Cube: A number that can be expressed as the cube of an integer.

     
  • Cube Root: The number that, when multiplied by itself three times, gives the original number.
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About BrightChamps in Canada

At BrightChamps, we understand algebra goes beyond digits—it opens doors to limitless possibilities! We aim to guide kids all across Canada to grasp key math skills, such as today’s focus on the Cube of 211, with a special emphasis on exploring cubes—in a fun, engaging, and easy-to-understand manner. Whether your child is measuring the speed of a roller coaster at Canada’s Wonderland, tracking hockey game scores, or budgeting their allowance for the latest gadgets, mastering algebra builds their everyday confidence. Our engaging lessons make learning both enjoyable and simple. Since Canadian children learn in various ways, we tailor our teaching to suit each learner’s style. From Toronto’s vibrant city life to the breathtaking views of British Columbia, BrightChamps makes algebra come alive, making it meaningful and exciting across Canada. Let’s make cubes a thrilling part of every child’s math story!
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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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