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Last updated on May 29th, 2025

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Cube of 367

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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 367.

Cube of 367 for Qatari Students
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Cube of 367

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 367 can be written as 367³, which is the exponential form.

 

Or it can also be written in arithmetic form as, 367 × 367 × 367.

cube of 367

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How to Calculate the Value of Cube of 367

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 to cube the numbers faster and more easily 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. 367³ = 367 × 367 × 367

 

Step 2: You get 49,319,263 as the answer. Hence, the cube of 367 is 49,319,263.

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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 367 into two parts, as 360 and 7. Let a = 360 and b = 7, so a + b = 367

 

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

 

Step 3: Calculate each term a³ = 360³ 3a²b = 3 × 360² × 7 3ab² = 3 × 360 × 7² b³ = 7³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (360 + 7)³ = 360³ + 3 × 360² × 7 + 3 × 360 × 7² + 7³ 367³ = 46,656,000 + 27,216 + 52,920 + 343 367³ = 49,319,263

 

Step 5: Hence, the cube of 367 is 49,319,263.

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Using a Calculator

To find the cube of 367 using a calculator, input the number 367 and use the cube function (if available) or multiply 367 × 367 × 367. This operation calculates the value of 367³, resulting in 49,319,263. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 3, 6, followed by 7.

 

Step 3: If the calculator has a cube function, press it to calculate 367³.

 

Step 4: If there is no cube function on the calculator, simply multiply 367 three times manually.

 

Step 5: The calculator will display 49,319,263.

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Tips and Tricks for the Cube of 367

  • 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 367

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, 367 × 367 and not 367 × 367 × 367. Always remember that 367³ = 367 × 367 × 367.

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Solved Examples on Cube of 367

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Problem 1

What is the cube and cube root of 367?

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The cube of 367 is 49,319,263 and the cube root of 367 is approximately 7.156.

Explanation

First, let’s find the cube of 367.

We know that the cube of a number is given by \( x^3 = y \), where \( x \) is the given number and \( y \) is the cubed value of that number.

So, we get 367³ = 49,319,263. Next, we must find the cube root of 367.

We know that the cube root of a number \( x \) is given by \( \sqrt[3]{x} = y \), where \( x \) is the given number and \( y \) is the cube root value of the number.

So, we get \( \sqrt[3]{367} \approx 7.156 \).

Hence the cube of 367 is 49,319,263 and the cube root of 367 is approximately 7.156.

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Problem 2

If the side length of the cube is 367 cm, what is the volume?

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The volume is 49,319,263 cm³.

Explanation

Use the volume formula for a cube \( V = \text{Side}^3 \).

Substitute 367 for the side length: \( V = 367^3 = 49,319,263 \) cm³.

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Problem 3

How much larger is 367³ than 360³?

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367³ – 360³ = 2,663,263.

Explanation

First find the cube of 367³, which is 49,319,263.

Next, find the cube of 360³, which is 46,656,000.

Now, find the difference between them using the subtraction method. 49,319,263 – 46,656,000 = 2,663,263.

Therefore, 367³ is 2,663,263 larger than 360³.

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Problem 4

If a cube with a side length of 367 cm is compared to a cube with a side length of 70 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 367 cm is 49,319,263 cm³.

Explanation

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

Cubing 367 means multiplying 367 by itself three times: 367 × 367 = 134,689, and then 134,689 × 367 = 49,319,263.

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

Therefore, the volume of the cube is 49,319,263 cm³.

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Problem 5

Estimate the cube of 366.9 using the cube of 367.

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The cube of 366.9 is approximately 49,319,263.

Explanation

First, identify the cube of 367,

The cube of 367 is 367³ = 49,319,263.

Since 366.9 is only a tiny bit less than 367, the cube of 366.9 will be almost the same as the cube of 367.

The cube of 366.9 is approximately 49,319,263 because the difference between 366.9 and 367 is very small.

So, we can approximate the value as 49,319,263.

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FAQs on Cube of 367

1.What are the perfect cubes up to 367?

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2.How do you calculate 367³?

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3.What is the meaning of 367³?

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4.What is the cube root of 367?

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5.Is 367 a perfect cube?

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

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7.How can cultural or local activities in Qatar support learning Algebra topics such as Cube of 367?

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8.How do technology and digital tools in Qatar support learning Algebra and Cube of 367?

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

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Important Glossaries for Cube of 367

  • 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, \( 2^3 \) represents \( 2 \times 2 \times 2 \), which equals 8. 
     
  • 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 Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number. 
     
  • Volume of a Cube: The volume of a cube is determined by cubing the length of one of its sides, using the formula \( V = \text{Side}^3 \).
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About BrightChamps in Qatar

At BrightChamps, algebra is much more than digits—it’s the key to countless possibilities! We are dedicated to helping kids across Qatar master vital math concepts, like today’s focus on the Cube of 367, with a special emphasis on cubes—in an engaging, clear, and enjoyable way. Whether your child is calculating the speed of a roller coaster at Qatar’s Angry Birds World, keeping track of football scores, or managing their allowance to buy the latest gadgets, mastering algebra builds their everyday confidence. Our interactive lessons keep learning fun and accessible. Because children in Qatar learn in various ways, we customize our approach to fit each child’s unique style. From Doha’s modern cityscape to its desert surroundings, BrightChamps makes algebra exciting and relatable across Qatar. Let’s make cubes a fun 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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