Cube of 17
2026-02-28 17:29 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 17.

Cube of 17

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 17 can be written as 17³, which is the exponential form. Or it can also be written in arithmetic form as, 17 × 17 × 17.

How to Calculate the Value of Cube of 17

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.17³ = 17 × 17 × 17

Step 2: You get 4,913 as the answer.    

 Hence, the cube of 17 is 4,913.

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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 17 into two parts, as and Let a = 10 and b = 7, so a + b = 17

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

Step 3: Calculate each term    

 a³ = 10³     

3a²b = 3 × 10² × 7    

 3ab² = 3 × 10 × 7²     

b³ = 7³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(10 + 7)³ = 10³ + 3 × 10² × 7 + 3 × 10 × 7² + 7³

17³ = 1,000 + 2,100 + 1,470 + 343

17³ = 4,913

Step 5: Hence, the cube of 17 is 4,913.

Using a Calculator

To find the cube of 17 using a calculator, input the number 17 and use the cube function (if available) or multiply 17 × 17 × 17. This operation calculates the value of 17³, resulting in 4,913. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 1 followed by 7

Step 3: If the calculator has a cube function, press it to calculate 17³.

Step 4: If there is no cube function on the calculator, simply multiply 17 three times manually.

Step 5: The calculator will display 4,913.

Tips and Tricks for the Cube of 17

  • 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 17

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 17?

Okay, lets begin

The cube of 17 is 4,913 and the cube root of 17 is approximately 2.571.

Explanation

First, let’s find the cube of 17.

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 17³ = 4,913

Next, we must find the cube root of 17 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 ∛17 ≈ 2.571

Hence, the cube of 17 is 4,913 and the cube root of 17 is approximately 2.571.

Well explained 👍

Problem 2

If the side length of the cube is 17 cm, what is the volume?

Okay, lets begin

The volume is 4,913 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 17 for the side length: V = 17³ = 4,913 cm³.

Well explained 👍

Problem 3

How much larger is 17³ than 13³?

Okay, lets begin

17³ – 13³ = 3,458.

Explanation

First find the cube of 17³, that is 4,913

Next, find the cube of 13³, which is 2,197

Now, find the difference between them using the subtraction method. 4,913 – 2,197 = 2,716

Therefore, 17³ is 2,716 larger than 13³.

Well explained 👍

Problem 4

If a cube with a side length of 17 cm is compared to a cube with a side length of 7 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 17 cm is 4,913 cm³.

Explanation

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

Cubing 17 means multiplying 17 by itself three times: 17 × 17 = 289, and then 289 × 17 = 4,913.

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

Therefore, the volume of the cube is 4,913 cm³.

Well explained 👍

Problem 5

Estimate the cube 16.9 using the cube 17.

Okay, lets begin

The cube of 16.9 is approximately 4,913.

Explanation

First, identify the cube of 17, The cube of 17 is 17³ = 4,913.

Since 16.9 is only a tiny bit less than 17, the cube of 16.9 will be almost the same as the cube of 17.

The cube of 16.9 is approximately 4,913 because the difference between 16.9 and 17 is very small.

So, we can approximate the value as 4,913.

Well explained 👍

FAQs on Cube of 17

1.What are the perfect cubes up to 17?

The perfect cubes up to 17 are 1, 8, and 27.

2.How do you calculate 17³?

To calculate 17³, use the multiplication method, 17 × 17 × 17, which equals 4,913.

3.What is the meaning of 17³?

17³ means 17 multiplied by itself three times, or 17 × 17 × 17.

4.What is the cube root of 17?

5.Is 17 a perfect cube?

No, 17 is not a perfect cube because no integer multiplied by itself three times equals 17.

Important Glossaries for Cube of 17

  • 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, 8 is a perfect cube because it is 2³.
  • Volume of a Cube: The measure of space inside a cube, calculated by cubing the side length of the cube (Side³).

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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.