Cube of 318
2026-02-28 15:52 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 318.

Cube of 318

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 318 can be written as 318³, which is the exponential form. Or it can also be written in arithmetic form as, 318 × 318 × 318.

How to Calculate the Value of Cube of 318

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.

  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. 318³ = 318 × 318 × 318

Step 2: You get 32,143,032 as the answer. Hence, the cube of 318 is 32,143,032.

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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 318 into two parts, as 300 and 18. Let a = 300 and b = 18, so a + b = 318

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

Step 3: Calculate each term

a³ = 300³

3a²b = 3 × 300² × 18

3ab² = 3 × 300 × 18²

b³ = 18³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(300 + 18)³ = 300³ + 3 × 300² × 18 + 3 × 300 × 18² + 18³

318³ = 27,000,000 + 4,860,000 + 291,600 + 5,832

318³ = 32,143,032

Step 5: Hence, the cube of 318 is 32,143,032.

Using a Calculator

To find the cube of 318 using a calculator, input the number 318 and use the cube function (if available) or multiply 318 × 318 × 318. This operation calculates the value of 318³, resulting in 32,143,032. 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 1 and 8

Step 3: If the calculator has a cube function, press it to calculate 318³.

Step 4: If there is no cube function on the calculator, simply multiply 318 three times manually.

Step 5: The calculator will display 32,143,032.

Tips and Tricks for the Cube of 318

  • 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 318

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 318?

Okay, lets begin

The cube of 318 is 32,143,032 and the cube root of 318 is approximately 6.877.

Explanation

First, let’s find the cube of 318.

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 318³ = 32,143,032

Next, we must find the cube root of 318 We know that the 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√318 ≈ 6.877

Hence the cube of 318 is 32,143,032 and the cube root of 318 is approximately 6.877.

Well explained 👍

Problem 2

If the side length of the cube is 318 cm, what is the volume?

Okay, lets begin

The volume is 32,143,032 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 318 for the side length: V = 318³ = 32,143,032 cm³.

Well explained 👍

Problem 3

How much larger is 318³ than 200³?

Okay, lets begin

318³ – 200³ = 24,143,032.

Explanation

First, find the cube of 318³, which is 32,143,032

Next, find the cube of 200³, which is 8,000,000

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

32,143,032 – 8,000,000 = 24,143,032

Therefore, 318³ is 24,143,032 larger than 200³.

Well explained 👍

Problem 4

If a cube with a side length of 318 cm is compared to a cube with a side length of 100 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 318 cm is 32,143,032 cm³

Explanation

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

Cubing 318 means multiplying 318 by itself three times: 318 × 318 = 101,124, and then 101,124 × 318 = 32,143,032.

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

Therefore, the volume of the cube is 32,143,032 cm³.

Well explained 👍

Problem 5

Estimate the cube 317 using the cube 318.

Okay, lets begin

The cube of 317 is approximately 32,143,032.

Explanation

First, identify the cube of 318, The cube of 318 is 318³ = 32,143,032.

Since 317 is only a tiny bit less than 318, the cube of 317 will be almost the same as the cube of 318.

The cube of 317 is approximately 32,143,032 because the difference between 317 and 318 is very small.

So, we can approximate the value as 32,143,032.

Well explained 👍

FAQs on Cube of 318

1.What are the perfect cubes up to 318?

The perfect cubes up to 318 are 1, 8, 27, 64, 125, 216, and 343.

2.How do you calculate 318³?

To calculate 318³, use the multiplication method, 318 × 318 × 318, which equals 32,143,032.

3.What is the meaning of 318³?

318³ means 318 multiplied by itself three times, or 318 × 318 × 318.

4.What is the cube root of 318?

5.Is 318 a perfect cube?

No, 318 is not a perfect cube because no integer multiplied by itself three times equals 318.

Important Glossaries for Cube of 318

  • 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, 3³ represents 3 × 3 × 3 equals 27.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself three times, gives the original number.
  • Perfect Cube: A number is a perfect cube if it can be expressed as the product of an integer with itself twice.

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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.