Cube of 328
2026-02-28 13:24 Diff
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Last updated on August 5, 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.

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.

How to Calculate the Value of Cube of 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.

  • By Multiplication Method
     
  • Using a Formula
     
  • Using a Calculator

By Multiplication Method

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.

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Using a Formula (a³)

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.

Using a Calculator

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.

Tips and Tricks for the Cube of 328

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.

Common Mistakes to Avoid When Calculating the Cube of 328

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:

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Problem 1

What is the cube and cube root of 328?

Okay, lets begin

The cube of 328 is 35,204,032 and the cube root of 328 is approximately 6.874.

Explanation

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.

Well explained 👍

Problem 2

If the side length of the cube is 328 cm, what is the volume?

Okay, lets begin

The volume is 35,204,032 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 328 for the side length: V = 328³ = 35,204,032 cm³.

Well explained 👍

Problem 3

How much larger is 328³ than 318³?

Okay, lets begin

328³ – 318³ = 3,021,528.

Explanation

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.

Well explained 👍

Problem 4

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?

Okay, lets begin

The volume of the cube with a side length of 328 cm is 35,204,032 cm³.

Explanation

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.

Well explained 👍

Problem 5

Estimate the cube of 327.9 using the cube of 328.

Okay, lets begin

The cube of 327.9 is approximately 35,204,032.

Explanation

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.

Well explained 👍

FAQs on Cube of 328

1.What are the perfect cubes up to 328?

The perfect cubes up to 328 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 328³?

To calculate 328³, use the multiplication method: 328 × 328 × 328, which equals 35,204,032.

3.What is the meaning of 328³?

328³ means 328 multiplied by itself three times, or 328 × 328 × 328.

4.What is the cube root of 328?

5.Is 328 a perfect cube?

No, 328 is not a perfect cube because no integer multiplied by itself three times equals 328.

Important Glossaries for Cube of 328

  • Binomial Formula: An algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer. The formula is used to find the square and cube of a number.
  • Cube of a Number: Multiplying a number by itself three times is called the cube of a number.
  • Exponential Form: A way of expressing numbers using a base and an exponent (or power), where the exponent value indicates how many times the base is multiplied by itself. For example, 2³ represents 2 × 2 × 2, which equals 8.
  • Volume of a Cube: The amount of space inside a cube, calculated by cubing the side length (Side³).
  • Cube Root: The number that when multiplied by itself three times gives the original number. For example, the cube root of 27 is 3, because 3 × 3 × 3 = 27.

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Jaskaran Singh Saluja

About the Author

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.

Fun Fact

: He loves to play the quiz with kids through algebra to make kids love it.