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 328.
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 328 can be written as 328³, which is the exponential form. Or it can also be written in arithmetic form as, 328 × 328 × 328.
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.
328³ = 328 × 328 × 328
Step 2: You get 35,204,032 as the answer.
Hence, the cube of 328 is 35,204,032.
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 328 into two parts, as 300 and 28.
Let a = 300 and b = 28, so a + b = 328
Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³
Step 3: Calculate each term a³ = 300³ , 3a²b = 3 × 300² × 28 , 3ab² = 3 × 300 × 28² , b³ = 28³
Step 4: Add all the terms together:
(a + b)³ = a³ + 3a²b + 3ab² + b³
= 300³ + 3 × 300² × 28 + 3 × 300 × 28² + 28³
= 27,000,000 + 7,560,000 + 705,600 + 21,952
= 35,204,032
Step 5: Hence, the cube of 328 is 35,204,032.
To find the cube of 328 using a calculator, input the number 328 and use the cube function (if available) or multiply 328 × 328 × 328. This operation calculates the value of 328³, resulting in 35,204,032. It’s a quick way to determine the cube without manual computation.
Step 1: Ensure the calculator is functioning properly.
Step 2: Input 328
Step 3: If the calculator has a cube function, press it to calculate 328³.
Step 4: If there is no cube function on the calculator, simply multiply 328 three times manually.
Step 5: The calculator will display 35,204,032.
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 328?
The cube of 328 is 35,204,032 and the cube root of 328 is approximately 6.874.
First, let’s find the cube of 328.
We know that the cube of a number is x³ = y, where x is the given number and y is the cubed value of that number.
So, we get 328³ = 35,204,032.
Next, we must find the cube root of 328.
We know that the cube root of a number ‘x’ is ∛x = y, where ‘x’ is the given number and y is the cube root value of the number. So, we get ∛328 ≈ 6.874.
Hence, the cube of 328 is 35,204,032 and the cube root of 328 is approximately 6.874.
If the side length of the cube is 328 cm, what is the volume?
The volume is 35,204,032 cm³.
Use the volume formula for a cube V = Side³.
Substitute 328 for the side length: V = 328³ = 35,204,032 cm³.
How much larger is 328³ than 318³?
328³ – 318³ = 3,021,528.
First, find the cube of 328, which is 35,204,032.
Next, find the cube of 318, which is 32,182,504.
Now, find the difference between them using the subtraction method.
35,204,032 – 32,182,504 = 3,021,528.
Therefore, 328³ is 3,021,528 larger than 318³.
If a cube with a side length of 328 cm is compared to a cube with a side length of 28 cm, how much larger is the volume of the larger cube?
The volume of the cube with a side length of 328 cm is 35,204,032 cm³.
To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).
Cubing 328 means multiplying 328 by itself three times. 328 × 328 = 107,584, and then 107,584 × 328 = 35,204,032.
The unit of volume is cubic centimeters (cm³) because we are calculating the space inside the cube.
Therefore, the volume of the cube is 35,204,032 cm³.
Estimate the cube of 327.9 using the cube of 328.
The cube of 327.9 is approximately 35,204,032.
First, identify the cube of 328, The cube of 328 is 328³ = 35,204,032.
Since 327.9 is only a tiny bit less than 328, the cube of 327.9 will be almost the same as the cube of 328.
The cube of 327.9 is approximately 35,204,032 because the difference between 327.9 and 328 is very small.
So, we can approximate the value as 35,204,032.
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.