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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 234.
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 234 can be written as 234³, which is the exponential form.
Or it can also be written in arithmetic form as, 234 × 234 × 234.
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. 234³ = 234 × 234 × 234
Step 2: You get 12,812,904 as the answer.
Hence, the cube of 234 is 12,812,904.
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 234 into two parts, as 200 and 34. Let a = 200 and b = 34, so a + b = 234
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 200³ 3a²b = 3 × 200² × 34 3ab² = 3 × 200 × 34² b³ = 34³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (200 + 34)³ = 200³ + 3 × 200² × 34 + 3 × 200 × 34² + 34³ 234³ = 8,000,000 + 4,080,000 + 693,600 + 39,304 234³ = 12,812,904
Step 5: Hence, the cube of 234 is 12,812,904.
To find the cube of 234 using a calculator, input the number 234 and use the cube function (if available) or multiply 234 × 234 × 234. This operation calculates the value of 234³, resulting in 12,812,904. 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 3 and 4
Step 3: If the calculator has a cube function, press it to calculate 234³.
Step 4: If there is no cube function on the calculator, simply multiply 234 three times manually.
Step 5: The calculator will display 12,812,904.
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 234?
The cube of 234 is 12,812,904 and the cube root of 234 is approximately 6.144.
First, let’s find the cube of 234.
We know that 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 234³ = 12,812,904 Next, we must find the cube root of 234
We know that 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 ∛234 ≈ 6.144 Hence, the cube of 234 is 12,812,904 and the cube root of 234 is approximately 6.144.
If the side length of the cube is 234 cm, what is the volume?
The volume is 12,812,904 cm³.
Use the volume formula for a cube V = Side³.
Substitute 234 for the side length: V = 234³ = 12,812,904 cm³.
How much larger is 234³ than 200³?
234³ – 200³ = 4,812,904.
First find the cube of 234³, that is 12,812,904
Next, find the cube of 200³, which is 8,000,000
Now, find the difference between them using the subtraction method. 12,812,904 – 8,000,000 = 4,812,904
Therefore, 234³ is 4,812,904 larger than 200³.
If a cube with a side length of 234 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 234 cm is 12,812,904 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 234 means multiplying 234 by itself three times: 234 × 234 = 54,756, and then 54,756 × 234 = 12,812,904.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 12,812,904 cm³.
Estimate the cube of 233.9 using the cube of 234.
The cube of 233.9 is approximately 12,812,904.
First, identify the cube of 234, The cube of 234 is 234³ = 12,812,904.
Since 233.9 is only a tiny bit less than 234, the cube of 233.9 will be almost the same as the cube of 234.
The cube of 233.9 is approximately 12,812,904 because the difference between 233.9 and 234 is very small.
So, we can approximate the value as 12,812,904.
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.