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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about cubes of 329.
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 329 can be written as 329³, which is the exponential form. Or it can also be written in arithmetic form as, 329 × 329 × 329.
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.
329³ = 329 × 329 × 329
Step 2: You get 35,493,089 as the answer.
Hence, the cube of 329 is 35,493,089.
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 329 into two parts, as 300 and 29.
Let a = 300 and b = 29, so a + b = 329
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ , 3a²b = 3 × 300² × 29 , 3ab² = 3 × 300 × 29² , b³ = 29³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³ (300 + 29)³
= 300³ + 3 × 300² × 29 + 3 × 300 × 29² + 29³ 329³
= 27,000,000 + 7,830,000 + 756,900 + 24,389 329³
= 35,493,089
Step 5: Hence, the cube of 329 is 35,493,089.
To find the cube of 329 using a calculator, input the number 329 and use the cube function (if available) or multiply 329 × 329 × 329. This operation calculates the value of 329³, resulting in 35,493,089. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Press 3 followed by 2 and 9
Step 3: If the calculator has a cube function, press it to calculate 329³.
Step 4: If there is no cube function on the calculator, simply multiply 329 three times manually.
Step 5: The calculator will display 35,493,089.
The cube of any even number is always even, while the cube of any odd number is always odd. The product of two or more perfect cube numbers is always a perfect cube. A perfect cube can always be expressed as the product of three identical groups of equal prime factors.
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 329?
The cube of 329 is 35,493,089 and the cube root of 329 is approximately 6.901.
First, let’s find the cube of 329.
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 329³ = 35,493,089
Next, we must find the cube root of 329
We know that cube root of a number ‘x’, 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√329 ≈ 6.901
Hence the cube of 329 is 35,493,089 and the cube root of 329 is approximately 6.901.
If the side length of the cube is 329 cm, what is the volume?
The volume is 35,493,089 cm³.
Use the volume formula for a cube V = Side³.
Substitute 329 for the side length: V = 329³ = 35,493,089 cm³.
How much larger is 329³ than 299³?
329³ – 299³ = 6,463,289.
First find the cube of 329, that is 35,493,089
Next, find the cube of 299, which is 29,029,800
Now, find the difference between them using the subtraction method.
35,493,089 – 29,029,800 = 6,463,289
Therefore, 329³ is 6,463,289 larger than 299³.
If a cube with a side length of 329 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 329 cm is 35,493,089 cm³
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 329 means multiplying 329 by itself three times: 329 × 329 = 108,241, and then 108,241 × 329 = 35,493,089.
The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.
Therefore, the volume of the cube is 35,493,089 cm³.
Estimate the cube 328.9 using the cube 329.
The cube of 328.9 is approximately 35,493,089.
First, identify the cube of 329, The cube of 329 is 329³ = 35,493,089.
Since 328.9 is only a tiny bit less than 329, the cube of 328.9 will be almost the same as the cube of 329.
The cube of 328.9 is approximately 35,493,089 because the difference between 328.9 and 329 is very small.
So, we can approximate the value as 35,493,089.
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.