Cube of 60
2026-02-28 21:35 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 60.

Cube of 60

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 60 can be written as 60³, which is the exponential form. Or it can also be written in arithmetic form as, 60 × 60 × 60.

How to Calculate the Value of Cube of 60

In order to check whether a number is a cube number or not, we can use the following three methods, such as 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.

  • By Multiplication Method
  • Using a Formula
  • 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.

60³ = 60 × 60 × 60

Step 2: You get 216,000 as the answer.

Hence, the cube of 60 is 216,000.

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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 60 into two parts. Let a = 50 and b = 10, so a + b = 60

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

Step 3: Calculate each term a³ = 50³ , 3a²b = 3 × 50² × 10 , 3ab² = 3 × 50 × 10² , b³ = 10³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(50 + 10)³ = 50³ + 3 × 50² × 10 + 3 × 50 × 10² + 10³

60³ = 125,000 + 75,000 + 15,000 + 1,000 60³

= 216,000

Step 5: Hence, the cube of 60 is 216,000.

Using a Calculator

To find the cube of 60 using a calculator, input the number 60 and use the cube function (if available) or multiply 60 × 60 × 60. This operation calculates the value of 60³, resulting in 216,000. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 6 followed by 0

Step 3: If the calculator has a cube function, press it to calculate 60³.

Step 4: If there is no cube function on the calculator, simply multiply 60 three times manually.

Step 5: The calculator will display 216,000.

Tips and Tricks for the Cube of 60

  • The cube of any even number is always even, while the cube of any odd number is always odd.
     
  • 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 60

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 60?

Okay, lets begin

The cube of 60 is 216,000 and the cube root of 60 is approximately 3.914.

Explanation

First, let’s find the cube of 60.

We know that 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 60³ = 216,000

Next, we must find the cube root of 60 We know that 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 ∛60 ≈ 3.914

Hence, the cube of 60 is 216,000 and the cube root of 60 is approximately 3.914.

Well explained 👍

Problem 2

If the side length of the cube is 60 cm, what is the volume?

Okay, lets begin

The volume is 216,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 60 for the side length: V = 60³ = 216,000 cm³.

Well explained 👍

Problem 3

How much larger is 60³ than 50³?

Okay, lets begin

60³ – 50³ = 91,000.

Explanation

First find the cube of 60³, that is 216,000

Next, find the cube of 50³, which is 125,000

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

216,000 – 125,000 = 91,000

Therefore, the 60³ is 91,000 larger than 50³.

Well explained 👍

Problem 4

If a cube with a side length of 60 cm is compared to a cube with a side length of 20 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 60 cm is 216,000 cm³.

Explanation

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

Cubing 60 means multiplying 60 by itself three times: 60 × 60 = 3,600, and then 3,600 × 60 = 216,000.

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

Therefore, the volume of the cube is 216,000 cm³.

Well explained 👍

Problem 5

Estimate the cube 59.9 using the cube 60.

Okay, lets begin

The cube of 59.9 is approximately 216,000.

Explanation

First, identify the cube of 60, The cube of 60 is 60³ = 216,000.

Since 59.9 is only a tiny bit less than 60, the cube of 59.9 will be almost the same as the cube of 60.

The cube of 59.9 is approximately 216,000 because the difference between 59.9 and 60 is very small.

So, we can approximate the value as 216,000.

Well explained 👍

FAQs on Cube of 60

1.What are the perfect cubes up to 60?

The perfect cubes up to 60 are 1, 8, 27, and 64.

2.How do you calculate 60³?

To calculate 60³, use the multiplication method, 60 × 60 × 60, which equals 216,000.

3.What is the meaning of 60³?

60³ means 60 multiplied by itself three times, or 60 × 60 × 60.

4.What is the cube root of 60?

5.Is 60 a perfect cube?

No, 60 is not a perfect cube because no integer multiplied by itself three times equals 60.

Important Glossaries for Cube of 60

  • 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.
  • Volume of a Cube: The volume of a cube is calculated as the cube of its side length, expressed as Side³.
  • Perfect Cube: A number that can be expressed as the cube of an integer is called a perfect 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.

Fun Fact

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