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Last updated on May 28th, 2025

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Cube of 595

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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 595.

Cube of 595 for Omani Students
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Cube of 595

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 595 can be written as 595³, which is the exponential form. Or it can also be written in arithmetic form as, 595 × 595 × 595.

 

cube of 595

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How to Calculate the Value of Cube of 595

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.

 

  1. By Multiplication Method
  2. Using a Formula
  3. 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. 595³ = 595 × 595 × 595

 

Step 2: You get 210,034,375 as the answer. Hence, the cube of 595 is 210,034,375.

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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 595 into two parts, as and . Let a = 590 and b = 5, so a + b = 595

 

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

 

Step 3: Calculate each term a³ = 590³ 3a²b = 3 × 590² × 5 3ab² = 3 × 590 × 5² b³ = 5³

 

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³

(590 + 5)³ = 590³ + 3 × 590² × 5 + 3 × 590 × 5² + 5³

595³ = 205,379,000 + 5,227,500 + 44,250 + 125

595³ = 210,034,375

 

Step 5: Hence, the cube of 595 is 210,034,375.

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Using a Calculator

To find the cube of 595 using a calculator, input the number 595 and use the cube function (if available) or multiply 595 × 595 × 595. This operation calculates the value of 595³, resulting in 210,034,375. It’s a quick way to determine the cube without manual computation.

 

Step 1: Ensure the calculator is functioning properly.

 

Step 2: Press 5 followed by 9 and then 5

 

Step 3: If the calculator has a cube function, press it to calculate 595³.

 

Step 4: If there is no cube function on the calculator, simply multiply 595 three times manually.

 

Step 5: The calculator will display 210,034,375.

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Tips and Tricks for the Cube of 595

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 595

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, 595 × 595 and not 595 × 595 × 595. Always remember that 595³ = 595 × 595 × 595.

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Solved Examples on Cube of 595

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Problem 1

What is the cube and cube root of 595?

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The cube of 595 is 210,034,375 and the cube root of 595 is approximately 8.384.

Explanation

First, let’s find the cube of 595.

 

We know that 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 595³ = 210,034,375

 

Next, we must find the cube root of 595 We know that 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 ∛595 ≈ 8.384

 

Hence the cube of 595 is 210,034,375 and the cube root of 595 is approximately 8.384.

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Problem 2

If the side length of the cube is 595 cm, what is the volume?

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The volume is 210,034,375 cm³.

Explanation

Use the volume formula for a cube V = Side³.

 

Substitute 595 for the side length: V = 595³ = 210,034,375 cm³.

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Problem 3

How much larger is 595³ than 590³?

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595³ – 590³ = 4,655,375.

Explanation

First find the cube of 595³, that is 210,034,375

 

Next, find the cube of 590³, which is 205,379,000

 

Now, find the difference between them using the subtraction method.

 

210,034,375 – 205,379,000 = 4,655,375

 

Therefore, the 595³ is 4,655,375 larger than 590³.

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Problem 4

If a cube with a side length of 595 cm is compared to a cube with a side length of 300 cm, how much larger is the volume of the larger cube?

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The difference in volume is 192,425,375 cm³.

Explanation

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

 

Cubing 595 means multiplying 595 by itself three times: 595 × 595 × 595 = 210,034,375 cm³

 

Cubing 300 means multiplying 300 by itself three times: 300 × 300 × 300 = 27,000,000 cm³

 

Now, find the difference in volume: 210,034,375 cm³ - 27,000,000 cm³ = 183,034,375 cm³

 

Therefore, the larger cube is 183,034,375 cm³ larger in volume.

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Problem 5

Estimate the cube of 594 using the cube of 595.

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The cube of 594 is approximately 210,034,375.

Explanation

First, identify the cube of 595, The cube of 595 is 595³ = 210,034,375.

 

Since 594 is only slightly less than 595, the cube of 594 will be almost the same as the cube of 595.

 

The cube of 594 is approximately 210,034,375

 

because the difference between 594 and 595 is very small. So, we can approximate the value as 210,034,375.

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FAQs on Cube of 595

1.What are the perfect cubes up to 595?

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2.How do you calculate 595³?

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3.What is the meaning of 595³?

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4.What is the cube root of 595?

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5.Is 595 a perfect cube?

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

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7.How can cultural or local activities in Oman support learning Algebra topics such as Cube of 595?

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8.How do technology and digital tools in Oman support learning Algebra and Cube of 595?

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

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Important Glossaries for Cube of 595

  • 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.

 

  • Volume of a Cube: The space inside a cube calculated by cubing the side length (Side³).

 

  • Perfect Cube: A number that can be expressed as the product of an integer multiplied by itself twice more (e.g., 8 is a perfect cube because 2 × 2 × 2 = 8).
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About BrightChamps in Oman

At BrightChamps, algebra is more than just digits—it’s a path to endless opportunities! We focus on helping children across Oman develop important math skills, like today’s focus on the Cube of 595, especially understanding cubes—in a fun, engaging, and easy-to-follow way. Whether your child is calculating how fast a roller coaster moves at Oman’s Dreamland Aqua Park, keeping track of scores at local sports events, or managing their allowance for the latest gadgets, mastering algebra gives them the confidence to meet everyday challenges. Our interactive lessons make math learning enjoyable and straightforward. Because children in Oman learn in diverse ways, we tailor our teaching to match each child’s style. From the vibrant city of Muscat to Oman’s natural landscapes, BrightChamps brings algebra to life, making it exciting and relatable throughout Oman. 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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