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Last updated on May 30th, 2025

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Cube of 237

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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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 237.

Cube of 237 for Filipino Students
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Cube of 237

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 237 can be written as 237³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 237 × 237 × 237.

cube of 237

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How to Calculate the Value of Cube of 237

In order to check whether a number is a cube number or not, we can use the following three methods, such as 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 (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. 237³ = 237 × 237 × 237

 

Step 2: You get 13,307,053 as the answer.

 

Hence, the cube of 237 is 13,307,053.

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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 237 into two parts, as 200 and 37. Let a = 200 and b = 37, so a + b = 237

 

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

 

Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 37 3ab² = 3 × 200 × 37² b³ = 37³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 37)³ = 200³ + 3 × 200² × 37 + 3 × 200 × 37² + 37³ 237³ = 8,000,000 + 4,440,000 + 820,200 + 50,653 237³ = 13,307,053

 

Step 5: Hence, the cube of 237 is 13,307,053.

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Using a Calculator

To find the cube of 237 using a calculator, input the number 237 and use the cube function (if available) or multiply 237 × 237 × 237. This operation calculates the value of 237³, resulting in 13,307,053. 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, then 7

 

Step 3: If the calculator has a cube function, press it to calculate 237³.

 

Step 4: If there is no cube function on the calculator, simply multiply 237 three times manually.

 

Step 5: The calculator will display 13,307,053.

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Tips and Tricks for the Cube of 237

  • 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 237

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, 237 × 237 and not 237 × 237 × 237. Always remember that 237³ = 237 × 237 × 237.

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Solved Examples on Cube of 237

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Problem 1

What is the cube and cube root of 237?

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The cube of 237 is 13,307,053 and the cube root of 237 is approximately 6.204.

Explanation

First, let’s find the cube of 237.

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 237³ = 13,307,053 Next, we must find the cube root of 237

We know that the cube root of a number ‘x’, such that ³√x = y

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

So, we get ³√237 ≈ 6.204

Hence the cube of 237 is 13,307,053 and the cube root of 237 is approximately 6.204.

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Problem 2

If the side length of the cube is 237 cm, what is the volume?

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The volume is 13,307,053 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 237 for the side length: V = 237³ = 13,307,053 cm³.

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Problem 3

How much larger is 237³ than 200³?

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237³ – 200³ = 5,307,053.

Explanation

First find the cube of 237³, that is 13,307,053

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

Now, find the difference between them using the subtraction method. 13,307,053 – 8,000,000 = 5,307,053

Therefore, 237³ is 5,307,053 larger than 200³.

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Problem 4

If a cube with a side length of 237 cm is compared to a cube with a side length of 37 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 237 cm is 13,307,053 cm³

Explanation

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

Cubing 237 means multiplying 237 by itself three times: 237 × 237 = 56,169, and then 56,169 × 237 = 13,307,053.

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

Therefore, the volume of the cube is 13,307,053 cm³.

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Problem 5

Estimate the cube 236.9 using the cube 237.

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The cube of 236.9 is approximately 13,307,053.

Explanation

First, identify the cube of 237,

The cube of 237 is 237³ = 13,307,053.

Since 236.9 is only a tiny bit less than 237, the cube of 236.9 will be almost the same as the cube of 237.

The cube of 236.9 is approximately 13,307,053 because the difference between 236.9 and 237 is very small.

So, we can approximate the value as 13,307,053.

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FAQs on Cube of 237

1.What are the perfect cubes up to 237?

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2.How do you calculate 237³?

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3.What is the meaning of 237³?

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4.What is the cube root of 237?

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5.Is 237 a perfect cube?

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

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7.How can cultural or local activities in Philippines support learning Algebra topics such as Cube of 237?

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8.How do technology and digital tools in Philippines support learning Algebra and Cube of 237?

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

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Important Glossaries for Cube of 237

  • 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, equal to 8.

 

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

 

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

At BrightChamps, algebra is more than just numbers—it’s the key to unlocking many opportunities! We dedicate ourselves to helping kids across the Philippines grasp important math concepts, including today’s focus on the Cube of 237 with a special emphasis on cubes—in an engaging, clear, and fun way. Whether your child is calculating the speed of a roller coaster at Enchanted Kingdom, following basketball scores, or managing their allowance to buy new gadgets, mastering algebra builds their confidence for everyday challenges. Our interactive lessons make math learning fun and easy. Because kids in the Philippines learn in diverse ways, we tailor our approach to each child’s unique style. From Manila’s busy streets to Palawan’s stunning islands, BrightChamps makes algebra exciting and relatable throughout the Philippines. Let’s make cubes a fun part of every child’s math adventure!
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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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