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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 220.
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 220 can be written as 220³, which is the exponential form. Or it can also be written in arithmetic form as, 220 × 220 × 220.
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. 220³ = 220 × 220 × 220
Step 2: You get 10,648,000 as the answer.
Hence, the cube of 220 is 10,648,000.
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 220 into two parts. Let a = 200 and b = 20, so a + b = 220
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ , 3a²b = 3 × 200² × 20 , 3ab² = 3 × 200 × 20² b³ = 20³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³
(200 + 20)³ = 200³ + 3 × 200² × 20 + 3 × 200 × 20² + 20³ 220³
= 8,000,000 + 2,400,000 + 240,000 + 8,000 220³ = 10,648,000
Step 5: Hence, the cube of 220 is 10,648,000.
To find the cube of 220 using a calculator, input the number 220 and use the cube function (if available) or multiply 220 × 220 × 220. This operation calculates the value of 220³, resulting in 10,648,000. 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 2 and 0
Step 3: If the calculator has a cube function, press it to calculate 220³.
Step 4: If there is no cube function on the calculator, simply multiply 220 three times manually.
Step 5: The calculator will display 10,648,000.
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 220?
The cube of 220 is 10,648,000 and the cube root of 220 is approximately 6.009.
First, let’s find the cube of 220. 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 220³ = 10,648,000
Next, we must find the cube root of 220
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√220 ≈ 6.009 Hence the cube of 220 is 10,648,000 and the cube root of 220 is approximately 6.009.
If the side length of the cube is 220 cm, what is the volume?
The volume is 10,648,000 cm³.
Use the volume formula for a cube V = Side³.
Substitute 220 for the side length: V = 220³ = 10,648,000 cm³.
How much larger is 220³ than 200³?
220³ – 200³ = 2,648,000.
First, find the cube of 220³, that is 10,648,000
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method.
10,648,000 – 8,000,000 = 2,648,000
Therefore, the 220³ is 2,648,000 larger than 200³.
If a cube with a side length of 220 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 220 cm is 10,648,000 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 220 means multiplying 220 by itself three times: 220 × 220 = 48,400, and then 48,400 × 220 = 10,648,000.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 10,648,000 cm³.
Estimate the cube of 219.9 using the cube of 220.
The cube of 219.9 is approximately 10,648,000.
First, identify the cube of 220, The cube of 220 is 220³ = 10,648,000.
Since 219.9 is only a tiny bit less than 220, the cube of 219.9 will be almost the same as the cube of 220.
The cube of 219.9 is approximately 10,648,000 because the difference between 219.9 and 220 is very small.
So, we can approximate the value as 10,648,000.
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.