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 228.
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 228 can be written as 2283, which is the exponential form.
Or it can also be written in arithmetic form as 228 × 228 × 228.
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 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. 2283 = 228 × 228 × 228
Step 2: You get 11,837,352 as the answer.
Hence, the cube of 228 is 11,837,352.
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 228 into two parts. Let a = 200 and b = 28, so a + b = 228.
Step 2: Now, apply the formula (a + b)3 = a3 + 3a2b + 3ab2 + b3.
Step 3: Calculate each term: a3 = 2003 3a2b = 3 × 2002 × 28 3ab2 = 3 × 200 × 282 b3 = 283
Step 4: Add all the terms together: (a + b)3 = a3 + 3a2b + 3ab2 + b3 (200 + 28)3 = 2003 + 3 × 2002 × 28 + 3 × 200 × 282 + 283 2283 = 8,000,000 + 3,360,000 + 470,400 + 21,952 2283 = 11,837,352
Step 5: Hence, the cube of 228 is 11,837,352.
To find the cube of 228 using a calculator, input the number 228 and use the cube function (if available) or multiply 228 × 228 × 228. This operation calculates the value of 2283, resulting in 11,837,352. 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 8.
Step 3: If the calculator has a cube function, press it to calculate 2283.
Step 4: If there is no cube function on the calculator, simply multiply 228 three times manually.
Step 5: The calculator will display 11,837,352.
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 228?
The cube of 228 is 11,837,352, and the cube root of 228 is approximately 6.135.
First, let’s find the cube of 228.
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 2283 = 11,837,352.
Next, we must find the cube root of 228.
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 ∛228 ≈ 6.135.
Hence the cube of 228 is 11,837,352, and the cube root of 228 is approximately 6.135.
If the side length of the cube is 228 cm, what is the volume?
The volume is 11,837,352 cm3
Use the volume formula for a cube V = Side3.
Substitute 228 for the side length:V = 2283 = 11,837,352 cm3.
How much larger is \(228^3\) than \(200^3\)?
2283 - 2003 = 3,837,352.
First, find the cube of 2283, which is 11,837,352.
Next, find the cube of 2003, which is 8,000,000.
Now, find the difference between them using the subtraction method. 11,837,352 - 8,000,000 = 3,837,352.
Therefore, 2283 is 3,837,352 larger than 2003.
If a cube with a side length of 228 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 228 cm is 11,837,352 cm3.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 228 means multiplying 228 by itself three times: 228 × 228 = 51,984, and then 51,984 × 228 = 11,837,352.
The unit of volume is cubic centimeters cm3, because we are calculating the space inside the cube.
Therefore, the volume of the cube is 11,837,352 cm3.
Estimate the cube of 227.9 using the cube of 228.
The cube of 227.9 is approximately 11,837,352.
First, identify the cube of 228.
The cube of 228 is 2283 = 11,837,352.
Since 227.9 is only a tiny bit less than 228, the cube of 227.9 will be almost the same as the cube of 228.
The cube of 227.9 is approximately 11,837,352 because the difference between 227.9 and 228 is very small.
So, we can approximate the value as 11,837,352.
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.