100 LearnersLast updated on June 3rd, 2025
Cube of 218
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 cubes of 218.
Cube of 218
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 218 can be written as 218³, which is the exponential form. Or it can also be written in arithmetic form as, 218 × 218 × 218.
How to Calculate the Value of Cube of 218
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.
218³ = 218 × 218 × 218
Step 2: You get 10,341,832 as the answer.
Hence, the cube of 218 is 10,341,832.
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 218 into two parts. Let a = 200 and b = 18, so a + b = 218
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ , 3a²b = 3 × 200² × 18 , 3ab² = 3 × 200 × 18² , b³ = 18³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(200 + 18)³ = 200³ + 3 × 200² × 18 + 3 × 200 × 18² + 18³ 218³
= 8,000,000 + 2,160,000 + 648,000 + 5,832 218³ = 10,341,832
Step 5: Hence, the cube of 218 is 10,341,832.
Using a Calculator
To find the cube of 218 using a calculator, input the number 218 and use the cube function (if available) or multiply 218 × 218 × 218. This operation calculates the value of 218³, resulting in 10,341,832. 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 1 and 8
Step 3: If the calculator has a cube function, press it to calculate 218³.
Step 4: If there is no cube function on the calculator, simply multiply 218 three times manually.
Step 5: The calculator will display 10,341,832.
Tips and Tricks for the Cube of 218
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 218
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, 218 × 218 and not 218 × 218 × 218. Always remember that 218³ = 218 × 218 × 218.
Solved Examples on Cube of 218
Problem 1
What is the cube and cube root of 218?
The cube of 218 is 10,341,832 and the cube root of 218 is approximately 6.000.
Explanation
First, let’s find the cube of 218. 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 218³ = 10,341,832
Next, we must find the cube root of 218
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 ∛218 ≈ 6.000
Hence the cube of 218 is 10,341,832 and the cube root of 218 is approximately 6.000.
Problem 2
If the side length of the cube is 218 cm, what is the volume?
The volume is 10,341,832 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 218 for the side length: V = 218³ = 10,341,832 cm³.
Problem 3
How much larger is 218³ than 200³?
218³ – 200³ = 2,341,832.
Explanation
First find the cube of 218, which is 10,341,832
Next, find the cube of 200, which is 8,000,000
Now, find the difference between them using the subtraction method.
10,341,832 – 8,000,000 = 2,341,832
Therefore, 218³ is 2,341,832 larger than 200³.
Problem 4
If a cube with a side length of 218 cm is compared to a cube with a side length of 18 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 218 cm is 10,341,832 cm³
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 218 means multiplying 218 by itself three times: 218 × 218 = 47,524, and then 47,524 × 218 = 10,341,832.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 10,341,832 cm³.
Problem 5
Estimate the cube 217.9 using the cube 218.
The cube of 217.9 is approximately 10,341,832.
Explanation
First, identify the cube of 218, The cube of 218 is 218³ = 10,341,832.
Since 217.9 is only a tiny bit less than 218, the cube of 217.9 will be almost the same as the cube of 218.
The cube of 217.9 is approximately 10,341,832 because the difference between 217.9 and 218 is very small.
So, we can approximate the value as 10,341,832.
FAQs on Cube of 218
1.What are the perfect cubes up to 218?
2.How do you calculate 218³?
3.What is the meaning of 218³?
4.What is the cube root of 218?
5.Is 218 a perfect cube?
6.How does learning Algebra help students in Indonesia make better decisions in daily life?
7.How can cultural or local activities in Indonesia support learning Algebra topics such as Cube of 218?
8.How do technology and digital tools in Indonesia support learning Algebra and Cube of 218?
9.Does learning Algebra support future career opportunities for students in Indonesia?
Important Glossaries for Cube of 218
- 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 can be expressed as the cube of an integer. For example, 8 (2³) is a perfect cube.
- Cube Root: The number that when multiplied by itself three times gives the original number. The cube root of 8 is 2 because 2 × 2 × 2 = 8.
Explore More algebra
Previous to Cube of 218
Next to Cube of 218
About BrightChamps in Indonesia
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.
