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 525.
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 525 can be written as 525³, which is the exponential form. Or it can also be written in arithmetic form as, 525 × 525 × 525.
In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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.
525³ = 525 × 525 × 525
Step 2: You get 144,703,125 as the answer.
Hence, the cube of 525 is 144,703,125.
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 525 into two parts, as 500 and 25.
Let a = 500 and b = 25, so a + b = 525
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 500³ 3a²b = 3 × 500² × 25
3ab² = 3 × 500 × 25² b³ = 25³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³ (500 + 25)³
= 500³ + 3 × 500² × 25 + 3 × 500 × 25² + 25³ 525³
= 125,000,000 + 18,750,000 + 937,500 + 15,625 525³
= 144,703,125
Step 5: Hence, the cube of 525 is 144,703,125.
To find the cube of 525 using a calculator, input the number 525 and use the cube function (if available) or multiply 525 × 525 × 525. This operation calculates the value of 525³, resulting in 144,703,125. 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 2, and then 5
Step 3: If the calculator has a cube function, press it to calculate 525³.
Step 4: If there is no cube function on the calculator, simply multiply 525 three times manually.
Step 5: The calculator will display 144,703,125.
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 525?
The cube of 525 is 144,703,125 and the cube root of 525 is approximately 8.059.
First, let’s find the cube of 525.
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 525³ = 144,703,125
Next, we must find the cube root of 525
We know that the cube root of a number ‘x’, such that ³√x = y
Where ‘x’ is the given number, and y is the cube root value of the number
So, we get ³√525 ≈ 8.059
Hence the cube of 525 is 144,703,125 and the cube root of 525 is approximately 8.059.
If the side length of the cube is 525 cm, what is the volume?
The volume is 144,703,125 cm³.
Use the volume formula for a cube V = Side³.
Substitute 525 for the side length: V = 525³ = 144,703,125 cm³.
How much larger is 525³ than 500³?
525³ – 500³ = 19,703,125.
First, find the cube of 525³, that is 144,703,125
Next, find the cube of 500³, which is 125,000,000
Now, find the difference between them using the subtraction method.
144,703,125 – 125,000,000 = 19,703,125
Therefore, 525³ is 19,703,125 larger than 500³.
If a cube with a side length of 525 cm is compared to a cube with a side length of 250 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 525 cm is 144,703,125 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 525 means multiplying 525 by itself three times: 525 × 525 = 275,625, and then 275,625 × 525 = 144,703,125.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 144,703,125 cm³.
Estimate the cube of 524.9 using the cube of 525.
The cube of 524.9 is approximately 144,703,125.
First, identify the cube of 525.
The cube of 525 is 525³ = 144,703,125.
Since 524.9 is only a tiny bit less than 525, the cube of 524.9 will be almost the same as the cube of 525.
The cube of 524.9 is approximately 144,703,125 because the difference between 524.9 and 525 is very small.
So, we can approximate the value as 144,703,125.
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.