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 208.
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 208 can be written as 208³, which is the exponential form. Or it can also be written in arithmetic form as, 208 × 208 × 208.
In order to check whether a number is a cube number or not, we can use the following three methods, such as 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.
208³ = 208 × 208 × 208
Step 2: You get 9,011,392 as the answer.
Hence, the cube of 208 is 9,011,392.
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 208 into two parts, as 200 and 8.
Let a = 200 and b = 8, so a + b = 208
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³= 200³, 3a²b = 3 × 200² × 8 , 3ab² = 3 × 200 × 8² , b³ = 8³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(200 + 8)³ = 200³ + 3 × 200² × 8 + 3 × 200 × 8² + 8³ 208³
= 8,000,000 + 960,000 + 38,400 + 512 208³ = 9,011,392
Step 5: Hence, the cube of 208 is 9,011,392.
To find the cube of 208 using a calculator, input the number 208 and use the cube function (if available) or multiply 208 × 208 × 208. This operation calculates the value of 208³, resulting in 9,011,392. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 2, 0, 8
Step 3: If the calculator has a cube function, press it to calculate 208³.
Step 4: If there is no cube function on the calculator, simply multiply 208 three times manually.
Step 5: The calculator will display 9,011,392.
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 208?
The cube of 208 is 9,011,392 and the cube root of 208 is approximately 5.935.
First, let’s find the cube of 208.
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 208³ = 9,011,392
Next, we must find the cube root of 208
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 ∛208 ≈ 5.935
Hence the cube of 208 is 9,011,392 and the cube root of 208 is approximately 5.935.
If the side length of the cube is 208 cm, what is the volume?
The volume is 9,011,392 cm³.
Use the volume formula for a cube V = Side³.
Substitute 208 for the side length: V = 208³ = 9,011,392 cm³.
How much larger is 208³ than 200³?
208³ – 200³ = 1,011,392.
First find the cube of 208³, that is 9,011,392
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method.
9,011,392 – 8,000,000 = 1,011,392
Therefore, 208³ is 1,011,392 larger than 200³.
If a cube with a side length of 208 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 208 cm is 9,011,392 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 208 means multiplying 208 by itself three times: 208 × 208 = 43,264, and then 43,264 × 208 = 9,011,392.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 9,011,392 cm³.
Estimate the cube of 208.1 using the cube of 208.
The cube of 208.1 is approximately 9,011,392.
First, identify the cube of 208, The cube of 208 is 208³ = 9,011,392.
Since 208.1 is only a tiny bit more than 208, the cube of 208.1 will be almost the same as the cube of 208.
The cube of 208.1 is approximately 9,011,392 because the difference between 208.1 and 208 is very small.
So, we can approximate the value as 9,011,392.
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.