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Last updated on June 3rd, 2025

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Cube of 136

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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 sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 136.

Cube of 136 for US Students
Professor Greenline from BrightChamps

Cube of 136

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 136 can be written as 136³, which is the exponential form.

 

Or it can also be written in arithmetic form as 136 × 136 × 136.

cube of 123

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How to Calculate the Value of Cube of 136

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 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. 136³ = 136 × 136 × 136

 

Step 2: You get 2,519,616 as the answer. Hence, the cube of 136 is 2,519,616.

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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 136 into two parts. Let a = 130 and b = 6, so a + b = 136

 

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

 

Step 3: Calculate each term a³ = 130³ 3a²b = 3 × 130² × 6 3ab² = 3 × 130 × 6² b³ = 6³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (130 + 6)³ = 130³ + 3 × 130² × 6 + 3 × 130 × 6² + 6³ 136³ = 2,197,000 + 304,200 + 14,040 + 216 136³ = 2,519,456

 

Step 5: Hence, the cube of 136 is 2,519,456.

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Using a Calculator

To find the cube of 136 using a calculator, input the number 136 and use the cube function (if available) or multiply 136 × 136 × 136. This operation calculates the value of 136³, resulting in 2,519,616. 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 3 and 6

 

Step 3: If the calculator has a cube function, press it to calculate 136³.

 

Step 4: If there is no cube function on the calculator, simply multiply 136 three times manually.

 

Step 5: The calculator will display 2,519,616.

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Tips and Tricks for the Cube of 136

  • 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 136

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, 136 × 136 and not 136 × 136 × 136. Always remember that 136³ = 136 × 136 × 136.

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Solved Examples on Cube of 136

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Problem 1

What is the cube and cube root of 136?

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The cube of 136 is 2,519,616 and the cube root of 136 is approximately 5.153.

Explanation

First, let’s find the cube of 136.

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 136³ = 2,519,616

Next, we must find the cube root of 136

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 ∛136 ≈ 5.153

Hence, the cube of 136 is 2,519,616 and the cube root of 136 is approximately 5.153.

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Problem 2

If the side length of the cube is 136 cm, what is the volume?

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The volume is 2,519,616 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 136 for the side length: V = 136³ = 2,519,616 cm³.

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Problem 3

How much larger is 136³ than 126³?

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136³ – 126³ = 227,232.

Explanation

First find the cube of 136³, that is 2,519,616

Next, find the cube of 126³, which is 2,292,384

Now, find the difference between them using the subtraction method. 2,519,616 – 2,292,384 = 227,232

Therefore, 136³ is 227,232 larger than 126³.

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Problem 4

If a cube with a side length of 136 cm is compared to a cube with a side length of 13 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 136 cm is 2,519,616 cm³.

Explanation

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

Cubing 136 means multiplying 136 by itself three times: 136 × 136 = 18,496, and then 18,496 × 136 = 2,519,616.

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

Therefore, the volume of the cube is 2,519,616 cm³.

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Problem 5

Estimate the cube 135.9 using the cube 136.

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The cube of 135.9 is approximately 2,519,616.

Explanation

First, identify the cube of 136,

The cube of 136 is 136³ = 2,519,616.

Since 135.9 is only a tiny bit less than 136, the cube of 135.9 will be almost the same as the cube of 136.

The cube of 135.9 is approximately 2,519,616 because the difference between 135.9 and 136 is very small.

So, we can approximate the value as 2,519,616.

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FAQs on Cube of 136

1.What are the perfect cubes up to 136?

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2.How do you calculate 136³?

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3.What is the meaning of 136³?

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4.What is the cube root of 136?

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5.Is 136 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 136?

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8.How do technology and digital tools in United States support learning Algebra and Cube of 136?

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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 136

  • 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.
     
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. It is represented as ∛x.
     
  • Volume of a Cube: The amount of space enclosed within a cube, calculated as the side length cubed (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 136, 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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