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 524.
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 524 can be written as 524³, which is the exponential form. Or it can also be written in arithmetic form as, 524 × 524 × 524.
To determine if a number is a cube number, we can use the following three methods: the multiplication method, a factor formula (a³), or by using a calculator. These methods will help calculate cubes faster and easier without confusion or difficulty in evaluating the answers.
The multiplication method is a process in mathematics used to find the product of numbers by combining them through repeated multiplication. It is a fundamental operation that forms the basis for more complex mathematical concepts.
Step 1: Write down the cube of the given number.
524³ = 524 × 524 × 524
Step 2: You get 143,751,424 as the answer.
Hence, the cube of 524 is 143,751,424.
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 524 into two parts.
Let a = 500 and b = 24, so a + b = 524
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ , 3a²b = 3 × 500² × 24 , 3ab² = 3 × 500 × 24² , b³ = 24³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(500 + 24)³ = 500³ + 3 × 500² × 24 + 3 × 500 × 24² + 24³
524³ = 125,000,000 + 18,000,000 + 864,000 + 13,824 524³ = 143,751,424
Step 5: Hence, the cube of 524 is 143,751,424.
To find the cube of 524 using a calculator, input the number 524 and use the cube function (if available) or multiply 524 × 524 × 524. This operation calculates the value of 524³, resulting in 143,751,424. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Enter 5, 2, and 4
Step 3: If the calculator has
a cube function, press it to calculate 524³.
Step 4: If there is no cube function on the calculator, simply multiply 524 three times manually.
Step 5: The calculator will display 143,751,424.
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 524?
The cube of 524 is 143,751,424 and the cube root of 524 is approximately 8.059.
First, let’s find the cube of 524.
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 524³ = 143,751,424
Next, we must find the cube root of 524 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 ∛524 ≈ 8.059
Hence the cube of 524 is 143,751,424 and the cube root of 524 is approximately 8.059.
If the side length of the cube is 524 cm, what is the volume?
The volume is 143,751,424 cm³.
Use the volume formula for a cube V = Side³.
Substitute 524 for the side length: V = 524³ = 143,751,424 cm³.
How much larger is 524³ than 400³?
524³ – 400³ = 77,351,424.
First, find the cube of 524, which is 143,751,424
Next, find the cube of 400, which is 64,000,000
Now, find the difference between them using the subtraction method.
143,751,424 – 64,000,000 = 79,751,424
Therefore, 524³ is 79,751,424 larger than 400³.
If a cube with a side length of 524 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 524 cm is 143,751,424 cm³.
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 524 means multiplying 524 by itself three times: 524 × 524 = 274,576, and then 274,576 × 524 = 143,751,424.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 143,751,424 cm³.
Estimate the cube of 523.9 using the cube of 524.
The cube of 523.9 is approximately 143,751,424.
First, identify the cube of 524, The cube of 524 is 524³ = 143,751,424.
Since 523.9 is only a tiny bit less than 524, the cube of 523.9 will be almost the same as the cube of 524.
The cube of 523.9 is approximately 143,751,424 because the difference between 523.9 and 524 is very small.
So, we can approximate the value as 143,751,424.
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.