114 LearnersLast updated on May 30th, 2025
Cube of 256
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 256.
Cube of 256
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 256 can be written as 256³, which is the exponential form.
Or it can also be written in arithmetic form as 256 × 256 × 256.
How to Calculate the Value of Cube of 256
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 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. 256³ = 256 × 256 × 256
Step 2: You get 16,777,216 as the answer.
Hence, the cube of 256 is 16,777,216.
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 256 into two parts. Let a = 200 and b = 56, so a + b = 256
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 56 3ab² = 3 × 200 × 56² b³ = 56³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 56)³ = 200³ + 3 × 200² × 56 + 3 × 200 × 56² + 56³ 256³ = 8,000,000 + 6,720,000 + 1,881,600 + 175,616 256³ = 16,777,216
Step 5: Hence, the cube of 256 is 16,777,216.
Using a Calculator
To find the cube of 256 using a calculator, input the number 256 and use the cube function (if available) or multiply 256 × 256 × 256. This operation calculates the value of 256³, resulting in 16,777,216. 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 5 and 6
Step 3: If the calculator has a cube function, press it to calculate 256³.
Step 4: If there is no cube function on the calculator, simply multiply 256 three times manually.
Step 5: The calculator will display 16,777,216.
Tips and Tricks for the Cube of 256
- 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 256
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, 256 × 256 and not 256 × 256 × 256. Always remember that 256³ = 256 × 256 × 256.
Solved Examples on Cube of 256
Problem 1
What is the cube and cube root of 256?
The cube of 256 is 16,777,216 and the cube root of 256 is approximately 6.3496.
Explanation
First, let’s find the cube of 256.
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 256³ = 16,777,216 Next, we must find the cube root of 256
We know that the 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 ∛256 ≈ 6.3496
Hence the cube of 256 is 16,777,216 and the cube root of 256 is approximately 6.3496.
Problem 2
If the side length of the cube is 256 cm, what is the volume?
The volume is 16,777,216 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 256 for the side length: V = 256³ = 16,777,216 cm³.
Problem 3
How much larger is 256³ than 200³?
256³ – 200³ = 8,777,216.
Explanation
First, find the cube of 256³, which is 16,777,216
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method. 16,777,216 – 8,000,000 = 8,777,216
Therefore, 256³ is 8,777,216 larger than 200³.
Problem 4
If a cube with a side length of 256 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 256 cm is 16,777,216 cm³
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 256 means multiplying 256 by itself three times: 256 × 256 = 65,536, and then 65,536 × 256 = 16,777,216.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 16,777,216 cm³.
Problem 5
Estimate the cube 255.9 using the cube of 256.
The cube of 255.9 is approximately 16,777,216.
Explanation
First, identify the cube of 256, The cube of 256 is 256³ = 16,777,216.
Since 255.9 is only a tiny bit less than 256, the cube of 255.9 will be almost the same as the cube of 256.
The cube of 255.9 is approximately 16,777,216 because the difference between 255.9 and 256 is very small.
So, we can approximate the value as 16,777,216.
FAQs on Cube of 256
1.What are the perfect cubes up to 256?
2.How do you calculate 256³?
3.What is the meaning of 256³?
4.What is the cube root of 256?
5.Is 256 a perfect cube?
6.How does learning Algebra help students in Canada make better decisions in daily life?
7.How can cultural or local activities in Canada support learning Algebra topics such as Cube of 256?
8.How do technology and digital tools in Canada support learning Algebra and Cube of 256?
9.Does learning Algebra support future career opportunities for students in Canada?
Important Glossaries for Cube of 256
- 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.
- Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
- Perfect Cube: A number that can be expressed as the cube of an integer is called a perfect 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
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