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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 520.
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 520 can be written as 520³, which is the exponential form. Or it can also be written in arithmetic form as, 520 × 520 × 520.
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 help to cube the numbers faster and easier without confusion or getting stuck while evaluating the answers.
The multiplication method is a process in mathematics used to find the product of 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.
520³ = 520 × 520 × 520
Step 2: You get 140,608,000 as the answer.
Hence, the cube of 520 is 140,608,000.
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 520 into two parts, as a and b.
Let a = 500 and b = 20, so a + b = 520
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ , 3a²b = 3 × 500² × 20 , 3ab² = 3 × 500 × 20² b³ = 20³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 20)³ = 500³ + 3 × 500² × 20 + 3 × 500 × 20² + 20³ 520³
= 125,000,000 + 15,000,000 + 600,000 + 8,000 520³
= 140,608,000
Step 5: Hence, the cube of 520 is 140,608,000.
To find the cube of 520 using a calculator, input the number 520 and use the cube function (if available) or multiply 520 × 520 × 520. This operation calculates the value of 520³, resulting in 140,608,000. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 5, 2, followed by 0
Step 3: If the calculator has a cube function, press it to calculate 520³.
Step 4: If there is no cube function on the calculator, simply multiply 520 three times manually.
Step 5: The calculator will display 140,608,000.
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 might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might happen:
What is the cube and cube root of 520?
The cube of 520 is 140,608,000 and the cube root of 520 is approximately 8.062.
First, let’s find the cube of 520.
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 520³ = 140,608,000
Next, we must find the cube root of 520
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 ∛520 ≈ 8.062
Hence, the cube of 520 is 140,608,000 and the cube root of 520 is approximately 8.062.
If the side length of the cube is 520 cm, what is the volume?
The volume is 140,608,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 520 for the side length: V = 520³ = 140,608,000 cm³.
How much larger is 520³ than 500³?
520³ – 500³ = 15,608,000.
First, find the cube of 520, which is 140,608,000.
Next, find the cube of 500, which is 125,000,000.
Now, find the difference between them using the subtraction method.
140,608,000 – 125,000,000 = 15,608,000
Therefore, 520³ is 15,608,000 larger than 500³.
If a cube with a side length of 520 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 520 cm is 140,608,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 520 means multiplying 520 by itself three times: 520 × 520 = 270,400, and then 270,400 × 520 = 140,608,000.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 140,608,000 cm³.
Estimate the cube of 519.9 using the cube of 520.
The cube of 519.9 is approximately 140,608,000.
First, identify the cube of 520.
The cube of 520 is 520³ = 140,608,000.
Since 519.9 is only a tiny bit less than 520, the cube of 519.9 will be almost the same as the cube of 520.
The cube of 519.9 is approximately 140,608,000 because the difference between 519.9 and 520 is very small.
So, we can approximate the value as 140,608,000.
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.