Cube of 327
2026-02-28 11:08 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 327.

Cube of 327

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 multiplied by itself three times results in a negative number.

The cube of 327 can be written as 327³, which is the exponential form. Or it can also be written in arithmetic form as 327 × 327 × 327.

How to Calculate the Value of Cube of 327

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 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. 327³ = 327 × 327 × 327

Step 2: You get 34,922,223 as the answer. Hence, the cube of 327 is 34,922,223.

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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 327 into two parts as 300 and 27. Let a = 300 and b = 27, so a + b = 327

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

Step 3: Calculate each term

a³ = 300³

3a²b = 3 × 300² × 27

3ab² = 3 × 300 × 27²

b³ = 27³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(300 + 27)³ = 300³ + 3 × 300² × 27 + 3 × 300 × 27² + 27³

327³ = 27,000,000 + 7,290,000 + 655,200 + 19,683

327³ = 34,922,223

Step 5: Hence, the cube of 327 is 34,922,223.

Using a Calculator

To find the cube of 327 using a calculator, input the number 327 and use the cube function (if available) or multiply 327 × 327 × 327. This operation calculates the value of 327³, resulting in 34,922,223. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Input 327

Step 3: If the calculator has a cube function, press it to calculate 327³.

Step 4: If there is no cube function on the calculator, simply multiply 327 three times manually.

Step 5: The calculator will display 34,922,223.

Tips and Tricks for the Cube of 327

  • 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 327

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 327?

Okay, lets begin

The cube of 327 is 34,922,223 and the cube root of 327 is approximately 6.906.

Explanation

First, let’s find the cube of 327. 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 327³ = 34,922,223

Next, we must find the cube root of 327 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 ∛327 ≈ 6.906

Hence the cube of 327 is 34,922,223 and the cube root of 327 is approximately 6.906.

Well explained 👍

Problem 2

If the side length of the cube is 327 cm, what is the volume?

Okay, lets begin

The volume is 34,922,223 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 327 for the side length: V = 327³ = 34,922,223 cm³.

Well explained 👍

Problem 3

How much larger is 327³ than 100³?

Okay, lets begin

327³ – 100³ = 34,822,223.

Explanation

First, find the cube of 327³, which is 34,922,223

Next, find the cube of 100³, which is 1,000,000 Now, find the difference between them using the subtraction method.

34,922,223 – 1,000,000 = 34,822,223

Therefore, 327³ is 34,822,223 larger than 100³.

Well explained 👍

Problem 4

If a cube with a side length of 327 cm is compared to a cube with a side length of 50 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 327 cm is 34,922,223 cm³

Explanation

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

Cubing 327 means multiplying 327 by itself three times: 327 × 327 = 106,929 and then 106,929 × 327 = 34,922,223.

The unit of volume is cubic centimeters (cm³), because we are calculating the space inside the cube.

Therefore, the volume of the cube is 34,922,223 cm³.

Well explained 👍

Problem 5

Estimate the cube of 326.5 using the cube of 327.

Okay, lets begin

The cube of 326.5 is approximately 34,922,223.

Explanation

First, identify the cube of 327, The cube of 327 is 327³ = 34,922,223.

Since 326.5 is only a tiny bit less than 327, the cube of 326.5 will be almost the same as the cube of 327.

The cube of 326.5 is approximately 34,922,223 because the difference between 326.5 and 327 is very small.

So, we can approximate the value as 34,922,223.

Well explained 👍

FAQs on Cube of 327

1.What are the perfect cubes up to 327?

The perfect cubes up to 327 are 1, 8, 27, 64, 125, 216.

2.How do you calculate 327³?

To calculate 327³, use the multiplication method, 327 × 327 × 327, which equals 34,922,223.

3.What is the meaning of 327³?

327³ means 327 multiplied by itself three times, or 327 × 327 × 327.

4.What is the cube root of 327?

5.Is 327 a perfect cube?

No, 327 is not a perfect cube because no integer multiplied by itself three times equals 327.

Important Glossaries for Cube of 327

  • Binomial Formula: 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: 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 expressed as the cube of an integer.
  • Volume: The amount of space that a substance or object occupies or that is enclosed within a container, usually expressed in cubic units.

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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.