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Last updated on May 30th, 2025

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Cube of 235

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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 235.

Cube of 235 for US Students
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Cube of 235

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 multiplied by itself three times results in a negative number.

 

The cube of 235 can be written as 2353, which is the exponential form.

 

Or it can also be written in arithmetic form as, 235 × 235 × 235.

cube of 235

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How to Calculate the Value of Cube of 235

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 (a^3), 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 (a3)
     
  • 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. 2353 = 235 × 235 × 235

 

Step 2: You get 12,977,875 as the answer.

 

Hence, the cube of 235 is 12,977,875.

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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 235 into two parts, as 200 and 35. Let a = 200 and b = 35, so a + b = 235

 

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

 

Step 3: Calculate each term a3 = 2003 3a2b = 3 × 2002 × 35 3ab2 = 3 × 200 × 352 b3 = 353

 

Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (200 + 35)3 = 2003 + 3 × 2002 × 35 + 3 × 200 × 352 + 353 2353 = 8,000,000 + 4,200,000 + 735,000 + 42,875 2353 = 12,977,875

 

Step 5: Hence, the cube of 235 is 12,977,875.

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Using a Calculator

To find the cube of 235 using a calculator, input the number 235 and use the cube function (if available) or multiply 235 × 235 × 235. This operation calculates the value of 2353, resulting in 12,977,875. 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 3 and 5

 

Step 3: If the calculator has a cube function, press it to calculate 2353.

 

Step 4: If there is no cube function on the calculator, simply multiply 235 three times manually.

 

Step 5: The calculator will display 12,977,875.

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Tips and Tricks for the Cube of 235

  • 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 235

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, 235 × 235 and not 235 × 235 × 235. Always remember that 2353 = 235 × 235 × 235.

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Solved Examples on Cube of 235

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Problem 1

What is the cube and cube root of 235?

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The cube of 235 is 12,977,875 and the cube root of 235 is approximately 6.197.

Explanation

First, let’s find the cube of 235.

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 235^3 = 12,977,875 Next, we must find the cube root of 235

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 ∛235 ≈ 6.197

Hence the cube of 235 is 12,977,875 and the cube root of 235 is approximately 6.197.

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Problem 2

If the side length of the cube is 235 cm, what is the volume?

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The volume is 12,977,875 cm^3.

Explanation

Use the volume formula for a cube V = Side3.

Substitute 235 for the side length: V = 2353 = 12,977,875 cm3.

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Problem 3

How much larger is 235^3 than 200^3?

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235^3 – 200^3 = 4,977,875.

Explanation

First, find the cube of 2353, which is 12,977,875

Next, find the cube of 2003, which is 8,000,000

Now, find the difference between them using the subtraction method. 12,977,875 – 8,000,000 = 4,977,875

Therefore, 235^3 is 4,977,875 larger than 2003.

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Problem 4

If a cube with a side length of 235 cm is compared to a cube with a side length of 50 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 235 cm is 12,977,875 cm3, significantly larger than the cube with a side length of 50 cm.

Explanation

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

Cubing 235 means multiplying 235 by itself three times: 235 × 235 × 235 = 12,977,875.

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

Therefore, the volume of the cube is 12,977,875 cm3.

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Problem 5

Estimate the cube 234.9 using the cube 235.

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The cube of 234.9 is approximately 12,977,875.

Explanation

First, identify the cube of 235,

The cube of 235 is 2353 = 12,977,875.

Since 234.9 is only a tiny bit less than 235, the cube of 234.9 will be almost the same as the cube of 235.

The cube of 234.9 is approximately 12,977,875 because the difference between 234.9 and 235 is very small.

So, we can approximate the value as 12,977,875.

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FAQs on Cube of 235

1.What are the perfect cubes up to 235?

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2.How do you calculate 235^3?

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3.What is the meaning of 235^3?

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4.What is the cube root of 235?

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5.Is 235 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 235?

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8.How do technology and digital tools in United States support learning Algebra and Cube of 235?

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

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Important Glossaries for Cube of 235

  • 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 8.

 

  • Perfect Cube: A number that is the cube of an integer. For example, 27 is a perfect cube because it equals 3 × 3 × 3.

 

  • Volume of a Cube: The amount of space enclosed by a cube, calculated as the side length raised to the power of three.
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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 235, 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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