Last updated on May 30th, 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 cubes of 252.
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 252 can be written as 252³, which is the exponential form.
Or it can also be written in arithmetic form as, 252 × 252 × 252.
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 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 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. 252³ = 252 × 252 × 252
Step 2: You get 15,978,624 as the answer.
Hence, the cube of 252 is 15,978,624.
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 252 into two parts, as 250 and 2. Let a = 250 and b = 2, so a + b = 252
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 250³ 3a²b = 3 × 250² × 2 3ab² = 3 × 250 × 2² b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (250 + 2)³ = 250³ + 3 × 250² × 2 + 3 × 250 × 2² + 2³ 252³ = 15,625,000 + 375,000 + 3,000 + 8 252³ = 15,978,624
Step 5: Hence, the cube of 252 is 15,978,624.
To find the cube of 252 using a calculator, input the number 252 and use the cube function (if available) or multiply 252 × 252 × 252. This operation calculates the value of 252³, resulting in 15,978,624. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2 followed by 5 and 2
Step 3: If the calculator has a cube function, press it to calculate 252³.
Step 4: If there is no cube function on the calculator, simply multiply 252 three times manually.
Step 5: The calculator will display 15,978,624.
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 252?
The cube of 252 is 15,978,624 and the cube root of 252 is approximately 6.340.
First, let’s find the cube of 252.
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 252³ = 15,978,624 Next, we must find the cube root of 252
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 ∛252 ≈ 6.340
Hence, the cube of 252 is 15,978,624 and the cube root of 252 is approximately 6.340.
If the side length of the cube is 252 cm, what is the volume?
The volume is 15,978,624 cm³.
Use the volume formula for a cube V = Side³.
Substitute 252 for the side length: V = 252³ = 15,978,624 cm³.
How much larger is 252³ than 150³?
252³ – 150³ = 13,178,874.
First, find the cube of 252³, which is 15,978,624
Next, find the cube of 150³, which is 3,375,000
Now, find the difference between them using the subtraction method. 15,978,624 – 3,375,000 = 12,603,624
Therefore, 252³ is 12,603,624 larger than 150³.
If a cube with a side length of 252 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 252 cm is 15,978,624 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 252 means multiplying 252 by itself three times: 252 × 252 = 63,504, and then 63,504 × 252 = 15,978,624.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 15,978,624 cm³.
Estimate the cube 251.9 using the cube 252.
The cube of 251.9 is approximately 15,978,624.
First, identify the cube of 252, The cube of 252 is 252³ = 15,978,624.
Since 251.9 is only a tiny bit less than 252, the cube of 251.9 will be almost the same as the cube of 252.
The cube of 251.9 is approximately 15,978,624 because the difference between 251.9 and 252 is very small.
So, we can approximate the value as 15,978,624.
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.