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 when comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 129.
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 129 can be written as 129³, which is the exponential form.
Or it can also be written in arithmetic form as, 129 × 129 × 129.
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. 129³ = 129 × 129 × 129
Step 2: You get 2,146,089 as the answer. Hence, the cube of 129 is 2,146,089.
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 129 into two parts, as a and b. Let a = 120 and b = 9, so a + b = 129
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 120³ 3a²b = 3 × 120² × 9 3ab² = 3 × 120 × 9² b³ = 9³
Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (120 + 9)³ = 120³ + 3 × 120² × 9 + 3 × 120 × 9² + 9³ 129³ = 1,728,000 + 388,800 + 29,160 + 729 129³ = 2,146,089
Step 5: Hence, the cube of 129 is 2,146,089.
To find the cube of 129 using a calculator, input the number 129 and use the cube function (if available) or multiply 129 × 129 × 129. This operation calculates the value of 129³, resulting in 2,146,089. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 1 followed by 2 and 9
Step 3: If the calculator has a cube function, press it to calculate 129³.
Step 4: If there is no cube function on the calculator, simply multiply 129 three times manually.
Step 5: The calculator will display 2,146,089.
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 129?
The cube of 129 is 2,146,089 and the cube root of 129 is approximately 5.062.
First, let’s find the cube of 129.
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 129³ = 2,146,089.
Next, we must find the cube root of 129.
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 ∛129 ≈ 5.062.
Hence, the cube of 129 is 2,146,089 and the cube root of 129 is approximately 5.062.
If the side length of the cube is 129 cm, what is the volume?
The volume is 2,146,089 cm³.
Use the volume formula for a cube V = Side³.
Substitute 129 for the side length: V = 129³ = 2,146,089 cm³.
How much larger is 129³ than 120³?
129³ – 120³ = 418,089.
First, find the cube of 129³, which is 2,146,089.
Next, find the cube of 120³, which is 1,728,000.
Now, find the difference between them using the subtraction method. 2,146,089 – 1,728,000 = 418,089.
Therefore, 129³ is 418,089 larger than 120³.
If a cube with a side length of 129 cm is compared to a cube with a side length of 9 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 129 cm is 2,146,089 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 129 means multiplying 129 by itself three times: 129 × 129 = 16,641, and then 16,641 × 129 = 2,146,089.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 2,146,089 cm³.
Estimate the cube of 128.9 using the cube of 129.
The cube of 128.9 is approximately 2,146,089.
First, identify the cube of 129, The cube of 129 is 129³ = 2,146,089.
Since 128.9 is only a tiny bit less than 129, the cube of 128.9 will be almost the same as the cube of 129.
The cube of 128.9 is approximately 2,146,089 because the difference between 128.9 and 129 is very small.
So, we can approximate the value as 2,146,089.
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.