Last updated on June 2nd, 2025
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 522.
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 522 can be written as 522³, which is the exponential form. Or it can also be written in arithmetic form as 522 × 522 × 522.
In order to check whether a number is a cube number or not, we can use the following three methods: 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.
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.
522³ = 522 × 522 × 522
Step 2: You get 142,884,248 as the answer.
Hence, the cube of 522 is 142,884,248.
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 522 into two parts.
Let a = 520 and b = 2, so a + b = 522
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 520³ 3a²b = 3 × 520² × 2 3ab² = 3 × 520 × 2² b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(520 + 2)³ = 520³ + 3 × 520² × 2 + 3 × 520 × 2² + 2³ 522³
= 140,608,000 + 324,480 + 6,240 + 8 522³ = 142,884,248
Step 5: Hence, the cube of 522 is 142,884,248.
To find the cube of 522 using a calculator, input the number 522 and use the cube function (if available) or multiply 522 × 522 × 522. This operation calculates the value of 522³, resulting in 142,884,248. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 522
Step 3: If the calculator has a cube function, press it to calculate 522³.
Step 4: If there is no cube function on the calculator, simply multiply 522 three times manually.
Step 5: The calculator will display 142,884,248.
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.
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:
What is the cube and cube root of 522?
The cube of 522 is 142,884,248 and the cube root of 522 is approximately 8.059.
First, let’s find the cube of 522.
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 522³ = 142,884,248
Next, we must find the cube root of 522
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 ∛522 ≈ 8.059
Hence, the cube of 522 is 142,884,248 and the cube root of 522 is approximately 8.059.
If the side length of the cube is 522 cm, what is the volume?
The volume is 142,884,248 cm³.
Use the volume formula for a cube V = Side³.
Substitute 522 for the side length: V = 522³ = 142,884,248 cm³.
How much larger is 522³ than 420³?
522³ – 420³ = 76,732,048.
First find the cube of 522, that is 142,884,248
Next, find the cube of 420, which is 66,152,200
Now, find the difference between them using the subtraction method.
142,884,248 – 66,152,200 = 76,732,048
Therefore, 522³ is 76,732,048 larger than 420³.
If a cube with a side length of 522 cm is compared to a cube with a side length of 10 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 522 cm is 142,884,248 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 522 means multiplying 522 by itself three times: 522 × 522 = 272,484, and then 272,484 × 522 = 142,884,248.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 142,884,248 cm³.
Estimate the cube of 521.9 using the cube of 522.
The cube of 521.9 is approximately 142,884,248.
First, identify the cube of 522, The cube of 522 is 522³ = 142,884,248.
Since 521.9 is only a tiny bit less than 522, the cube of 521.9 will be almost the same as the cube of 522.
The cube of 521.9 is approximately 142,884,248 because the difference between 521.9 and 522 is very small.
So, we can approximate the value as 142,884,248.
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.
: He loves to play the quiz with kids through algebra to make kids love it.