Cube of 24
2026-02-28 13:55 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 24.

Cube of 24

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 24 can be written as 24³, which is the exponential form. Or it can also be written in arithmetic form as 24 × 24 × 24.

How to Calculate the Value of Cube of 24

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 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. 24³ = 24 × 24 × 24

Step 2: You get 13,824 as the answer. Hence, the cube of 24 is 13,824.

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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 24 into two parts. Let a = 20 and b = 4, so a + b = 24

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

Step 3: Calculate each term

a³ = 20³

3a²b = 3 × 20² × 4

3ab² = 3 × 20 × 4²

b³ = 4³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(20 + 4)³ = 20³ + 3 × 20² × 4 + 3 × 20 × 4² + 4³

24³ = 8,000 + 4,800 + 960 + 64

24³ = 13,824

Step 5: Hence, the cube of 24 is 13,824.

Using a Calculator

To find the cube of 24 using a calculator, input the number 24 and use the cube function (if available) or multiply 24 × 24 × 24. This operation calculates the value of 24³, resulting in 13,824. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 2 followed by 4

Step 3: If the calculator has a cube function, press it to calculate 24³.

Step 4: If there is no cube function on the calculator, simply multiply 24 three times manually.

Step 5: The calculator will display 13,824.

Tips and Tricks for the Cube of 24

  • 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 24

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 24?

Okay, lets begin

The cube of 24 is 13,824 and the cube root of 24 is approximately 2.884.

Explanation

First, let’s find the cube of 24.

We know that the cube of a number is such that x³ = y, where x is the given number, and y is the cubed value of that number.

So, we get 24³ = 13,824.

Next, we must find the cube root of 24. We know that the cube root of a number ‘x’, is such that ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.

So, we get ∛24 ≈ 2.884.

Hence the cube of 24 is 13,824 and the cube root of 24 is approximately 2.884.

Well explained 👍

Problem 2

If the side length of the cube is 24 cm, what is the volume?

Okay, lets begin

The volume is 13,824 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 24 for the side length: V = 24³ = 13,824 cm³.

Well explained 👍

Problem 3

How much larger is 24³ than 20³?

Okay, lets begin

24³ – 20³ = 5,824.

Explanation

First find the cube of 24³, that is 13,824.

Next, find the cube of 20³, which is 8,000.

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

13,824 – 8,000 = 5,824.

Therefore, 24³ is 5,824 larger than 20³.

Well explained 👍

Problem 4

If a cube with a side length of 24 cm is compared to a cube with a side length of 6 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 24 cm is 13,824 cm³.

Explanation

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

Cubing 24 means multiplying 24 by itself three times: 24 × 24 = 576, and then 576 × 24 = 13,824.

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

Therefore, the volume of the cube is 13,824 cm³.

Well explained 👍

Problem 5

Estimate the cube of 23.9 using the cube of 24.

Okay, lets begin

The cube of 23.9 is approximately 13,824.

Explanation

First, identify the cube of 24. The cube of 24 is 24³ = 13,824.

Since 23.9 is only slightly less than 24, the cube of 23.9 will be almost the same as the cube of 24.

The cube of 23.9 is approximately 13,824 because the difference between 23.9 and 24 is very small.

So, we can approximate the value as 13,824.

Well explained 👍

FAQs on Cube of 24

1.What are the perfect cubes up to 24?

The perfect cubes up to 24 are 1, 8, and 27.

2.How do you calculate 24³?

To calculate 24³, use the multiplication method: 24 × 24 × 24, which equals 13,824.

3.What is the meaning of 24³?

24³ means 24 multiplied by itself three times, or 24 × 24 × 24.

4.What is the cube root of 24?

5.Is 24 a perfect cube?

No, 24 is not a perfect cube because no integer multiplied by itself three times equals 24.

Important Glossaries for Cube of 24

  • 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 amount of space occupied by a cube, calculated as the cube of its side length.
  • Perfect Cube: A number that can be expressed as the cube of an integer. Examples include 1, 8, 27, etc.

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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.