Last updated on June 3rd, 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 202.
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 multiplying a negative number by itself three times results in a negative number. The cube of 202 can be written as 202³, which is the exponential form. Or it can also be written in arithmetic form as 202 × 202 × 202.
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 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. 202³ = 202 × 202 × 202
Step 2: You get 8,244,808 as the answer.
Hence, the cube of 202 is 8,244,808.
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 202 into two parts. Let a = 200 and b = 2, so a + b = 202
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ , 3a²b = 3 × 200² × 2 , 3ab² = 3 × 200 × 2² , b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(200 + 2)³ = 200³ + 3 × 200² × 2 + 3 × 200 × 2² + 2³ 202³
= 8,000,000 + 240,000 + 2,400 + 8 202³ = 8,244,408
Step 5: Hence, the cube of 202 is 8,244,408.
To find the cube of 202 using a calculator, input the number 202 and use the cube function (if available) or multiply 202 × 202 × 202. This operation calculates the value of 202³, resulting in 8,244,408. 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 0, then 2
Step 3: If the calculator has a cube function, press it to calculate 202³.
Step 4: If there is no cube function on the calculator, simply multiply 202 three times manually.
Step 5: The calculator will display 8,244,408.
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 202?
The cube of 202 is 8,244,808 and the cube root of 202 is approximately 5.848.
First, let’s find the cube of 202.
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 202³ = 8,244,808.
Next, we must find the cube root of 202.
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√202 ≈ 5.848.
Hence the cube of 202 is 8,244,808 and the cube root of 202 is approximately 5.848.
If the side length of the cube is 202 cm, what is the volume?
The volume is 8,244,808 cm³.
Use the volume formula for a cube V = Side³.
Substitute 202 for the side length: V = 202³ = 8,244,808 cm³.
How much larger is 202³ than 200³?
202³ – 200³ = 44,808.
First, find the cube of 202, which is 8,244,808.
Next, find the cube of 200, which is 8,000,000.
Now, find the difference between them using the subtraction method.
8,244,808 – 8,000,000 = 44,808.
Therefore, the 202³ is 44,808 larger than 200³.
If a cube with a side length of 202 cm is compared to a cube with a side length of 2 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 202 cm is 8,244,808 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 202 means multiplying 202 by itself three times: 202 × 202 = 40,804, and then 40,804 × 202 = 8,244,808.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 8,244,808 cm³.
Estimate the cube of 202.1 using the cube of 202.
The cube of 202.1 is approximately 8,244,808.
First, identify the cube of 202.
The cube of 202 is 202³ = 8,244,808.
Since 202.1 is only a tiny bit more than 202, the cube of 202.1 will be almost the same as the cube of 202.
The cube of 202.1 is approximately 8,244,808 because the difference between 202.1 and 202 is very small.
So, we can approximate the value as 8,244,808.
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.