114 LearnersLast updated on May 30th, 2025
Cube of 550
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 550.
Cube of 550
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 multiplying a negative number by itself three times results in a negative number.
The cube of 550 can be written as 550³, which is the exponential form.
Or it can also be written in arithmetic form as, 550 × 550 × 550.
How to Calculate the Value of Cube of 550
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. 550³ = 550 × 550 × 550
Step 2: You get 166,375,000 as the answer. Hence, the cube of 550 is 166,375,000.
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 550 into two parts. Let a = 500 and b = 50, so a + b = 550
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 50 3ab² = 3 × 500 × 50² b³ = 50³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (500 + 50)³ = 500³ + 3 × 500² × 50 + 3 × 500 × 50² + 50³ 550³ = 125,000,000 + 37,500,000 + 3,750,000 + 125,000 550³ = 166,375,000
Step 5: Hence, the cube of 550 is 166,375,000.
Using a Calculator
To find the cube of 550 using a calculator, input the number 550 and use the cube function (if available) or multiply 550 × 550 × 550. This operation calculates the value of 550³, resulting in 166,375,000. 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 5 and 0
Step 3: If the calculator has a cube function, press it to calculate 550³.
Step 4: If there is no cube function on the calculator, simply multiply 550 three times manually.
Step 5: The calculator will display 166,375,000.
Tips and Tricks for the Cube of 550
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 550
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, 550 × 550 and not 550 × 550 × 550. Always remember that 550³ = 550 × 550 × 550.
Solved Examples on Cube of 550
Problem 1
What is the cube and cube root of 550?
The cube of 550 is 166,375,000 and the cube root of 550 is approximately 8.177.
Explanation
First, let’s find the cube of 550.
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 550³ = 166,375,000 Next, we must find the cube root of 550
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 ∛550 ≈ 8.177
Hence, the cube of 550 is 166,375,000 and the cube root of 550 is approximately 8.177.
Problem 2
If the side length of the cube is 550 cm, what is the volume?
The volume is 166,375,000 cm³.
Explanation
Use the volume formula for a cube V = Side³.
Substitute 550 for the side length: V = 550³ = 166,375,000 cm³.
Problem 3
How much larger is 550³ than 500³?
550³ – 500³ = 41,375,000.
Explanation
First, find the cube of 550³, which is 166,375,000
Next, find the cube of 500³, which is 125,000,000
Now, find the difference between them using the subtraction method. 166,375,000 – 125,000,000 = 41,375,000
Therefore, 550³ is 41,375,000 larger than 500³.
Problem 4
If a cube with a side length of 550 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 550 cm is 166,375,000 cm³.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 550 means multiplying 550 by itself three times: 550 × 550 = 302,500, and then 302,500 × 550 = 166,375,000.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 166,375,000 cm³.
Problem 5
Estimate the cube 549.9 using the cube 550.
The cube of 549.9 is approximately 166,375,000.
Explanation
First, identify the cube of 550, The cube of 550 is 550³ = 166,375,000.
Since 549.9 is only a tiny bit less than 550, the cube of 549.9 will be almost the same as the cube of 550.
The cube of 549.9 is approximately 166,375,000 because the difference between 549.9 and 550 is very small.
So, we can approximate the value as 166,375,000.
FAQs on Cube of 550
1.What are the perfect cubes up to 550?
2.How do you calculate 550³?
3.What is the meaning of 550³?
4.What is the cube root of 550?
5.Is 550 a perfect cube?
6.How does learning Algebra help students in Thailand make better decisions in daily life?
7.How can cultural or local activities in Thailand support learning Algebra topics such as Cube of 550?
8.How do technology and digital tools in Thailand support learning Algebra and Cube of 550?
9.Does learning Algebra support future career opportunities for students in Thailand?
Important Glossaries for Cube of 550
- Binomial Formula: 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: 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, 3³ represents 3 × 3 × 3 equals 27.
- Perfect Cube: A number that can be expressed as the product of three identical numbers.
- Volume of a Cube: The amount of space inside a cube, calculated by raising the side length to the third power.
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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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