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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 232.
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 232 can be written as 232³, which is the exponential form.
Or it can also be written in arithmetic form as, 232 × 232 × 232.
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 to cube the numbers faster and easier without confusion.
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. 232³ = 232 × 232 × 232
Step 2: You get 12,513,088 as the answer.
Hence, the cube of 232 is 12,513,088.
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 232 into two parts. Let a = 230 and b = 2, so a + b = 232
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 230³ 3a²b = 3 × 230² × 2 3ab² = 3 × 230 × 2² b³ = 2³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (230 + 2)³ = 230³ + 3 × 230² × 2 + 3 × 230 × 2² + 2³ 232³ = 12,167,000 + 317,400 + 2,760 + 8 232³ = 12,513,088
Step 5: Hence, the cube of 232 is 12,513,088.
To find the cube of 232 using a calculator, input the number 232 and use the cube function (if available) or multiply 232 × 232 × 232. This operation calculates the value of 232³, resulting in 12,513,088. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 232
Step 3: If the calculator has a cube function, press it to calculate 232³.
Step 4: If there is no cube function on the calculator, simply multiply 232 three times manually.
Step 5: The calculator will display 12,513,088.
There are some typical errors that might be made during the process of cubing a number. Let us take a look at the major mistakes that might occur:
What is the cube and cube root of 232?
The cube of 232 is 12,513,088 and the cube root of 232 is approximately 6.118.
First, let’s find the cube of 232.
We know that the cube of a number is such that x³ = y,
where x is the given number, and y is the cubed value of that number.
So, we get 232³ = 12,513,088. Next, we must find the cube root of 232.
We know that the cube root of a number ‘x’ is 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√232 ≈ 6.118.
Hence, the cube of 232 is 12,513,088 and the cube root of 232 is approximately 6.118.
If the side length of the cube is 232 cm, what is the volume?
The volume is 12,513,088 cm³.
Use the volume formula for a cube V = Side³.
Substitute 232 for the side length: V = 232³ = 12,513,088 cm³.
How much larger is 232³ than 230³?
232³ – 230³ = 346,088.
First, find the cube of 232³, which is 12,513,088.
Next, find the cube of 230³, which is 12,167,000.
Now, find the difference between them using the subtraction method. 12,513,088 – 12,167,000 = 346,088.
Therefore, 232³ is 346,088 larger than 230³.
If a cube with a side length of 232 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 232 cm is 12,513,088 cm³.
To find its volume, multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 232 means multiplying 232 by itself three times: 232 × 232 = 53,824, and then 53,824 × 232 = 12,513,088.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 12,513,088 cm³.
Estimate the cube of 231.5 using the cube of 232.
The cube of 231.5 is approximately 12,513,088.
First, identify the cube of 232.
The cube of 232 is 232³ = 12,513,088.
Since 231.5 is only a tiny bit less than 232, the cube of 231.5 will be almost the same as the cube of 232.
The cube of 231.5 is approximately 12,513,088 because the difference between 231.5 and 232 is very small.
So, we can approximate the value as 12,513,088.
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.