Cube of 320
2026-02-28 13:10 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 the sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 320.

Cube of 320

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 cubed results in a negative number.

The cube of 320 can be written as 320³, which is the exponential form. Or it can also be written in arithmetic form as, 320 × 320 × 320.

How to Calculate the Value of Cube of 320

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. -

  1. By Multiplication Method 
  2. Using a Formula 
  3. Using a Calculator

By Multiplication Method

The multiplication method is a process in mathematics used to find the product of numbers 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. 320³ = 320 × 320 × 320

Step 2: You get 32,768,000 as the answer. Hence, the cube of 320 is 32,768,000.

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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 320 into two parts, as and . Let a = 300 and b = 20, so a + b = 320

Step 2: Now, apply the formula (a + b)³ = a³ + 3a²b + 3ab² + b³

Step 3: Calculate each term

a³ = 300³

3a²b = 3 × 300² × 20

3ab² = 3 × 300 × 20²

b³ = 20³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(300 + 20)³ = 300³ + 3 × 300² × 20 + 3 × 300 × 20² + 20³

320³ = 27,000,000 + 5,400,000 + 360,000 + 8,000

320³ = 32,768,000

Step 5: Hence, the cube of 320 is 32,768,000.

Using a Calculator

To find the cube of 320 using a calculator, input the number 320 and use the cube function (if available) or multiply 320 × 320 × 320. This operation calculates the value of 320³, resulting in 32,768,000. 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 0

Step 3: If the calculator has a cube function, press it to calculate 320³.

Step 4: If there is no cube function on the calculator, simply multiply 320 three times manually.

Step 5: The calculator will display 32,768,000.

Tips and Tricks for the Cube of 320

  • 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 320

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 320?

Okay, lets begin

The cube of 320 is 32,768,000 and the cube root of 320 is approximately 6.843.

Explanation

First, let’s find the cube of 320.

We know that the cube of a number is such that x³ = y Where 'x' is the given number, and 'y' is the cubed value of that number.

So, we get 320³ = 32,768,000

Next, we must find the cube root of 320. We know that the cube root of a number 'x' is such that ∛x = y Where 'x' is the given number, and 'y' is the cube root value of the number.

So, we get ∛320 ≈ 6.843

Hence the cube of 320 is 32,768,000 and the cube root of 320 is approximately 6.843.

Well explained 👍

Problem 2

If the side length of the cube is 320 cm, what is the volume?

Okay, lets begin

The volume is 32,768,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 320 for the side length: V = 320³ = 32,768,000 cm³.

Well explained 👍

Problem 3

How much larger is 320³ than 300³?

Okay, lets begin

320³ – 300³ = 5,768,000.

Explanation

First, find the cube of 320³, which is 32,768,000. Next, find the cube of 300³, which is 27,000,000.

Now, find the difference between them using the subtraction method.

32,768,000 – 27,000,000 = 5,768,000

Therefore, 320³ is 5,768,000 larger than 300³.

Well explained 👍

Problem 4

If a cube with a side length of 320 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 320 cm is 32,768,000 cm³, and it is larger than the other by 25,768,000 cm³.

Explanation

To find its volume, we multiply the side length by itself three times (since it’s a 3-dimensional object).

Cubing 320 means multiplying 320 by itself three times: 320 × 320 = 102,400, and then 102,400 × 320 = 32,768,000.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube. Therefore, the volume of the cube with a side length of 320 cm is 32,768,000 cm³.

The volume of the cube with a side length of 200 cm is 8,000,000 cm³.

Thus, the larger cube's volume is 32,768,000 cm³ – 8,000,000 cm³ = 24,768,000 cm³ more.

Well explained 👍

Problem 5

Estimate the cube of 319.9 using the cube of 320.

Okay, lets begin

The cube of 319.9 is approximately 32,768,000.

Explanation

First, identify the cube of 320.

The cube of 320 is 320³ = 32,768,000.

Since 319.9 is only a tiny bit less than 320, the cube of 319.9 will be almost the same as the cube of 320.

The cube of 319.9 is approximately 32,768,000 because the difference between 319.9 and 320 is very small.

So, we can approximate the value as 32,768,000.

Well explained 👍

FAQs on Cube of 320

1.What are the perfect cubes up to 320?

The perfect cubes up to 320 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 320³?

To calculate 320³, use the multiplication method: 320 × 320 × 320, which equals 32,768,000.

3.What is the meaning of 320³?

320³ means 320 multiply by itself three times, or 320 × 320 × 320.

4.What is the cube root of 320?

5.Is 320 a perfect cube?

No, 320 is not a perfect cube because no integer multiplied by itself three times equals 320.

Important Glossaries for Cube of 320

  • Binomial Formula: It is an algebraic expression used to expand the powers of a number, written as (a + b)ⁿ, where ‘n’ is a positive integer raised to the base. 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: It is 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 equals 8. 
  • Perfect Cube: A number that can be written as the cube of an integer. For example, 27 is a perfect cube because it can be expressed as 3³. 
  • Volume Formula: A mathematical formula used to calculate the volume of a 3-dimensional object, such as V = Side³ for a cube.

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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.

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