115 LearnersLast updated on May 30th, 2025
Cube of 240
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 240.
Cube of 240
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 240 can be written as 240³, which is the exponential form.
Or it can also be written in arithmetic form as, 240 × 240 × 240.
How to Calculate the Value of Cube of 240
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
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. 240³ = 240 × 240 × 240
Step 2: You get 13,824,000 as the answer.
Hence, the cube of 240 is 13,824,000.
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 240 into two parts, as 200 and 40. Let a = 200 and b = 40, so a + b = 240
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 40 3ab² = 3 × 200 × 40² b³ = 40³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 40)³ = 200³ + 3 × 200² × 40 + 3 × 200 × 40² + 40³ 240³ = 8,000,000 + 4,800,000 + 960,000 + 64,000 240³ = 13,824,000
Step 5: Hence, the cube of 240 is 13,824,000.
Using a Calculator
To find the cube of 240 using a calculator, input the number 240 and use the cube function (if available) or multiply 240 × 240 × 240. This operation calculates the value of 240³, resulting in 13,824,000. 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 4 and then 0
Step 3: If the calculator has a cube function, press it to calculate 240³.
Step 4: If there is no cube function on the calculator, simply multiply 240 three times manually.
Step 5: The calculator will display 13,824,000.
Tips and Tricks for the Cube of 240
- 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 240
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, 240 × 240 and not 240 × 240 × 240. Always remember that 240³ = 240 × 240 × 240.
Solved Examples on Cube of 240
Problem 1
What is the cube and cube root of 240?
The cube of 240 is 13,824,000 and the cube root of 240 is approximately 6.218.
Explanation
First, let’s find the cube of 240.
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 240³ = 13,824,000 Next, we must find the cube root of 240
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 ∛240 ≈ 6.218
Hence the cube of 240 is 13,824,000 and the cube root of 240 is approximately 6.218.
Problem 2
If the side length of the cube is 240 cm, what is the volume?
The volume is 13,824,000 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 240 for the side length: V = 240³ = 13,824,000 cm³.
Problem 3
How much larger is 240³ than 200³?
240³ – 200³ = 5,824,000.
Explanation
First find the cube of 240, that is 13,824,000
Next, find the cube of 200, which is 8,000,000
Now, find the difference between them using the subtraction method. 13,824,000 – 8,000,000 = 5,824,000
Therefore, the 240³ is 5,824,000 larger than 200³.
Problem 4
If a cube with a side length of 240 cm is compared to a cube with a side length of 40 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 240 cm is 13,824,000 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 240 means multiplying 240 by itself three times: 240 × 240 = 57,600, and then 57,600 × 240 = 13,824,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 13,824,000 cm³.
Problem 5
Estimate the cube 239.9 using the cube 240.
The cube of 239.9 is approximately 13,824,000.
Explanation
First, identify the cube of 240,
The cube of 240 is 240³ = 13,824,000.
Since 239.9 is only a tiny bit less than 240, the cube of 239.9 will be almost the same as the cube of 240.
The cube of 239.9 is approximately 13,824,000 because the difference between 239.9 and 240 is very small.
So, we can approximate the value as 13,824,000.
FAQs on Cube of 240
1.What are the perfect cubes up to 240?
2.How do you calculate 240³?
3.What is the meaning of 240³?
4.What is the cube root of 240?
5.Is 240 a perfect cube?
6.How does learning Algebra help students in United States make better decisions in daily life?
7.How can cultural or local activities in United States support learning Algebra topics such as Cube of 240?
8.How do technology and digital tools in United States support learning Algebra and Cube of 240?
9.Does learning Algebra support future career opportunities for students in United States?
Important Glossaries for Cube of 240
- 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.
- Volume of a Cube: The amount of space occupied by a cube, calculated as side length raised to the power of three (side³).
Explore More algebra
Previous to Cube of 240
Next to Cube of 240
About BrightChamps in United States
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.
