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 22.
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 22 can be written as 22³, which is the exponential form. Or it can also be written in arithmetic form as, 22 × 22 × 22.
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 methods help in cubing the numbers faster and easier without confusion.
The multiplication method is a process used to find the product of numbers 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. 22³ = 22 × 22 × 22
Step 2: You get 10,648 as the answer. Hence, the cube of 22 is 10,648.
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 22 into two parts. Let a = 20 and b = 2, so a + b = 22
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term
a³ = 20³
3a²b = 3 × 20² × 2
3ab² = 3 × 20 × 2²
b³ = 2³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
(20 + 2)³ = 20³ + 3 × 20² × 2 + 3 × 20 × 2² + 2³
22³ = 8000 + 2400 + 240 + 8
22³ = 10,648
Step 5: Hence, the cube of 22 is 10,648.
To find the cube of 22 using a calculator, input the number 22 and use the cube function (if available) or multiply 22 × 22 × 22. This operation calculates the value of 22³, resulting in 10,648. 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
Step 3: If the calculator has a cube function, press it to calculate 22³.
Step 4: If there is no cube function on the calculator, simply multiply 22 three times manually.
Step 5: The calculator will display 10,648.
There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might occur:
What is the cube and cube root of 22?
The cube of 22 is 10,648 and the cube root of 22 is approximately 2.802.
First, let’s find the cube of 22.
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 22³ = 10,648
Next, we must find the cube root of 22 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 ∛22 ≈ 2.802
Hence, the cube of 22 is 10,648 and the cube root of 22 is approximately 2.802.
If the side length of the cube is 22 cm, what is the volume?
The volume is 10,648 cm³.
Use the volume formula for a cube V = Side³.
Substitute 22 for the side length: V = 22³ = 10,648 cm³.
How much larger is 22³ than 15³?
22³ – 15³ = 8,123.
First, find the cube of 22, which is 10,648
Next, find the cube of 15, which is 3,375
Now, find the difference between them using the subtraction method.
10,648 – 3,375 = 8,123
Therefore, 22³ is 8,123 larger than 15³.
If a cube with a side length of 22 cm is compared to a cube with a side length of 5 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 22 cm is 10,648 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 22 means multiplying 22 by itself three times: 22 × 22 = 484, and then 484 × 22 = 10,648.
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 cm³.
Estimate the cube of 21.5 using the cube of 22.
The cube of 21.5 is approximately 10,000.
First, identify the cube of 22, The cube of 22 is 22³ = 10,648.
Since 21.5 is slightly less than 22, the cube of 21.5 will be slightly less than the cube of 22.
The cube of 21.5 is approximately 10,000 because of the small difference between 21.5 and 22.
Hence, we can approximate the value as 10,000.
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.