Cube of 918
2026-02-21 20:34 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 cubes of 918.

Cube of 918

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 because a negative number by itself three times results in a negative number.

The cube of 918 can be written as 918³, which is the exponential form. Or it can also be written in arithmetic form as, 918 × 918 × 918.

How to Calculate the Value of Cube of 918

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 compute the cube of numbers faster and easier without confusion or errors.

  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. 918³ = 918 × 918 × 918

Step 2: You get 773,954,472 as the answer. Hence, the cube of 918 is 773,954,472.

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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 918 into two parts, for example, 900 and 18. Let a = 900 and b = 18, so a + b = 918.

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

Step 3: Calculate each term

a³ = 900³

3a²b = 3 × 900² × 18

3ab² = 3 × 900 × 18²

b³ = 18³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(900 + 18)³ = 900³ + 3 × 900² × 18 + 3 × 900 × 18² + 18³

918³ = 729000000 + 437400 + 437400 + 5832 918³ = 773954472

Step 5: Hence, the cube of 918 is 773,954,472.

Using a Calculator

To find the cube of 918 using a calculator, input the number 918 and use the cube function (if available) or multiply 918 × 918 × 918. This operation calculates the value of 918³, resulting in 773,954,472. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 9 followed by 1 and then 8.

Step 3: If the calculator has a cube function, press it to calculate 918³.

Step 4: If there is no cube function on the calculator, simply multiply 918 three times manually.

Step 5: The calculator will display 773,954,472.

Tips and Tricks for the Cube of 918

  • 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 918

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 918?

Okay, lets begin

The cube of 918 is 773,954,472, and the cube root of 918 is approximately 9.728.

Explanation

First, let’s find the cube of 918.

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 918³ = 773,954,472

Next, we must find the cube root of 918.

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 ∛918 ≈ 9.728

Hence, the cube of 918 is 773,954,472, and the cube root of 918 is approximately 9.728.

Well explained 👍

Problem 2

If the side length of a cube is 918 cm, what is the volume?

Okay, lets begin

The volume is 773,954,472 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 918 for the side length: V = 918³ = 773,954,472 cm³.

Well explained 👍

Problem 3

How much larger is 918³ than 900³?

Okay, lets begin

918³ – 900³ = 44,554,472.

Explanation

First, find the cube of 918, which is 773,954,472.

Next, find the cube of 900, which is 729,000,000.

Now, find the difference between them using the subtraction method. 773,954,472 – 729,000,000 = 44,554,472

Therefore, 918³ is 44,554,472 larger than 900³.

Well explained 👍

Problem 4

If a cube with a side length of 918 cm is compared to a cube with a side length of 18 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 918 cm is 773,954,472 cm³.

Explanation

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

Cubing 918 means multiplying 918 by itself three times: 918 × 918 = 842,724, and then 842,724 × 918 = 773,954,472.

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

Therefore, the volume of the cube is 773,954,472 cm³.

Well explained 👍

Problem 5

Estimate the cube of 917.9 using the cube of 918.

Okay, lets begin

The cube of 917.9 is approximately 773,954,472.

Explanation

First, identify the cube of 918.

The cube of 918 is 918³ = 773,954,472.

Since 917.9 is only a tiny bit less than 918, the cube of 917.9 will be almost the same as the cube of 918.

The cube of 917.9 is approximately 773,954,472 because the difference between 917.9 and 918 is very small.

So, we can approximate the value as 773,954,472.

Well explained 👍

FAQs on Cube of 918

1.What are the perfect cubes up to 918?

The perfect cubes up to 918 include numbers like 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 918³?

To calculate 918³, use the multiplication method: 918 × 918 × 918, which equals 773,954,472.

3.What is the meaning of 918³?

918³ means 918 multiplied by itself three times, or 918 × 918 × 918.

4.What is the cube root of 918?

5.Is 918 a perfect cube?

No, 918 is not a perfect cube because no integer multiplied by itself three times equals 918.

Important Glossaries for Cube of 918

  • 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 is the cube of an integer. For example, 27 is a perfect cube because it equals 3³.
  • Cube Root: The number that produces a given number when cubed. For example, the cube root of 27 is 3.

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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.