100 LearnersLast updated on June 3rd, 2025
Cube of 265
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 265.
Cube of 265
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 265 can be written as 265³, which is the exponential form.
Or it can also be written in arithmetic form as, 265 × 265 × 265.
How to Calculate the Value of Cube of 265
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
- Using a Calculator
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. 265³ = 265 × 265 × 265
Step 2: You get 18,615,125 as the answer. Hence, the cube of 265 is 18,615,125.
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 265 into two parts, as and . Let a = 260 and b = 5, so a + b = 265
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 260³ 3a²b = 3 × 260² × 5 3ab² = 3 × 260 × 5² b³ = 5³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (260 + 5)³ = 260³ + 3 × 260² × 5 + 3 × 260 × 5² + 5³ 265³ = 17,576,000 + 1,014,000 + 19,500 + 125 265³ = 18,615,125
Step 5: Hence, the cube of 265 is 18,615,125.
Using a Calculator
To find the cube of 265 using a calculator, input the number 265 and use the cube function (if available) or multiply 265 × 265 × 265. This operation calculates the value of 265³, resulting in 18,615,125. 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 6 and 5
Step 3: If the calculator has a cube function, press it to calculate 265³.
Step 4: If there is no cube function on the calculator, simply multiply 265 three times manually.
Step 5: The calculator will display 18,615,125.
Tips and Tricks for the Cube of 265
- 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.
Common Mistakes to Avoid When Calculating the Cube of 265
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
Incorrect Multiplication
Kids might multiply the numbers only twice. That is, 265 × 265 and not 265 × 265 × 265. Always remember that 265³ = 265 × 265 × 265.
Solved Examples on Cube of 265
Problem 1
What is the cube and cube root of 265?
The cube of 265 is 18,615,125 and the cube root of 265 is approximately 6.453.
Explanation
First, let’s find the cube of 265.
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 265³ = 18,615,125
Next, we must find the cube root of 265
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√265 ≈ 6.453
Hence the cube of 265 is 18,615,125 and the cube root of 265 is approximately 6.453.
Problem 2
If the side length of a cube is 265 cm, what is the volume?
The volume is 18,615,125 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 265 for the side length: V = 265³ = 18,615,125 cm³.
Problem 3
How much larger is 265³ than 260³?
265³ – 260³ = 1,039,125.
Explanation
First find the cube of 265³, that is 18,615,125
Next, find the cube of 260³, which is 17,576,000
Now, find the difference between them using the subtraction method. 18,615,125 – 17,576,000 = 1,039,125
Therefore, 265³ is 1,039,125 larger than 260³.
Problem 4
If a cube with a side length of 265 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 265 cm is 18,615,125 cm³
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 265 means multiplying 265 by itself three times: 265 × 265 = 70,225, and then 70,225 × 265 = 18,615,125.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 18,615,125 cm³.
Problem 5
Estimate the cube of 264.9 using the cube of 265.
The cube of 264.9 is approximately 18,615,125.
Explanation
First, identify the cube of 265,
The cube of 265 is 265³ = 18,615,125.
Since 264.9 is only a tiny bit less than 265, the cube of 264.9 will be almost the same as the cube of 265.
The cube of 264.9 is approximately 18,615,125 because the difference between 264.9 and 265 is very small.
So, we can approximate the value as 18,615,125.
FAQs on Cube of 265
1.What are the perfect cubes up to 265?
2.How do you calculate 265³?
3.What is the meaning of 265³?
4.What is the cube root of 265?
5.Is 265 a perfect cube?
6.How does learning Algebra help students in Saudi Arabia make better decisions in daily life?
7.How can cultural or local activities in Saudi Arabia support learning Algebra topics such as Cube of 265?
8.How do technology and digital tools in Saudi Arabia support learning Algebra and Cube of 265?
9.Does learning Algebra support future career opportunities for students in Saudi Arabia?
Important Glossaries for Cube of 265
- 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.
- Perfect Cube: A number that can be expressed as the cube of an integer.
- Volume Formula for Cube: The formula V = Side³ calculates the space inside a cube, where "Side" is the length of one side of the cube.
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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.
Fun Fact
: He loves to play the quiz with kids through algebra to make kids love it.
