117 LearnersLast updated on May 30th, 2025
Cube of 552
When a number is multiplied by itself thrice, the resultant number is called the cube of a number. Cubing is used in while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 552.
Cube of 552
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 552 can be written as 5523, which is the exponential form.
Or it can also be written in arithmetic form as, 552 × 552 × 552.
How to Calculate the Value of Cube of 552
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. 5523 = 552 × 552 × 552
Step 2: You get 168,430,848 as the answer. Hence, the cube of 552 is 168,430,848.
Using a Formula (a^3)
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 552 into two parts, as 500 and 52. Let a = 500 and b = 52, so a + b = 552
Step 2: Now, apply the formula (a + b)3 = a3 + 3a^2b + 3ab2 + b3
Step 3: Calculate each term a3 = 5003 3a2b = 3 × 5002 × 52 3ab2 = 3 × 500 × 522 b3 = 523
Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (500 + 52)^3 = 5003 + 3 × 5002 × 52 + 3 × 500 × 522 + 523 5523 = 125,000,000 + 39,000,000 + 4,056,000 + 140,608 5523 = 168,430,848
Step 5: Hence, the cube of 552 is 168,430,848.
Using a Calculator
To find the cube of 552 using a calculator, input the number 552 and use the cube function (if available) or multiply 552 × 552 × 552. This operation calculates the value of 5523, resulting in 168,430,848. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5, 5, and 2
Step 3: If the calculator has a cube function, press it to calculate 5523.
Step 4: If there is no cube function on the calculator, simply multiply 552 three times manually.
Step 5: The calculator will display 168,430,848.
Tips and Tricks for the Cube of 552
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 552
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, 552 × 552 and not 552 × 552 × 552. Always remember that 5523 = 552 × 552 × 552.
Solved Examples on Cube of 552
Problem 1
What is the cube and cube root of 552?
The cube of 552 is 168,430,848 and the cube root of 552 is approximately 8.177.
Explanation
First, let’s find the cube of 552.
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 5523 = 168,430,848
Next, we must find the cube root of 552 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 √552 ≈ 8.177
Hence, the cube of 552 is 168,430,848 and the cube root of 552 is approximately 8.177.
Problem 2
If the side length of the cube is 552 cm, what is the volume?
The volume is 168,430,848 cm3.
Explanation
Use the volume formula for a cube V = Side3.
Substitute 552 for the side length: V = 5523 = 168,430,848 cm3.
Problem 3
How much larger is 552^3 than 452^3?
552^3 – 452^3 = 94,895,648.
Explanation
First, find the cube of 5523, which is 168,430,848.
Next, find the cube of 4523, which is 73,535,200.
Now, find the difference between them using the subtraction method. 168,430,848 – 73,535,200 = 94,895,648
Therefore, 5523 is 94,895,648 larger than 4523.
Problem 4
If a cube with a side length of 552 cm is compared to a cube with a side length of 152 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 552 cm is 168,430,848 cm3 larger than the cube with a side length of 152 cm.
Explanation
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 552 means multiplying 552 by itself three times: 552 × 552 × 552 = 168,430,848 cm3.
Cubing 152 means multiplying 152 by itself three times: 152 × 152 × 152 = 3,515,328 cm3.
The unit of volume is cubic centimeters (cm3), because we are calculating the space inside the cube.
Therefore, the difference in volume is 168,430,848 cm^3 - 3,515,328 cm^3 = 164,915,520 cm3.
Problem 5
Estimate the cube 551.9 using the cube 552.
The cube of 551.9 is approximately 168,430,848.
Explanation
First, identify the cube of 552,
The cube of 552 is 5523 = 168,430,848.
Since 551.9 is only a tiny bit less than 552, the cube of 551.9 will be almost the same as the cube of 552.
The cube of 551.9 is approximately 168,430,848 because the difference between 551.9 and 552 is very small.
So, we can approximate the value as 168,430,848.
FAQs on Cube of 552
1.What are the perfect cubes up to 552?
2.How do you calculate 552^3?
3.What is the meaning of 552^3?
4.What is the cube root of 552?
5.Is 552 a perfect cube?
6.How does learning Algebra help students in Bahrain make better decisions in daily life?
7.How can cultural or local activities in Bahrain support learning Algebra topics such as Cube of 552?
8.How do technology and digital tools in Bahrain support learning Algebra and Cube of 552?
9.Does learning Algebra support future career opportunities for students in Bahrain?
Important Glossaries for Cube of 552
- 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: The amount of space occupied by a 3-dimensional object, expressed in cubic units.
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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.
