Cube of 724
2026-02-28 14:02 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-724

200 Learners

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 724.

Cube of 724

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 by itself three times results in a negative number.

The cube of 724 can be written as 724³, which is the exponential form. Or it can also be written in arithmetic form as, 724 × 724 × 724.

How to Calculate the Value of Cube of 724

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.

  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. 724³ = 724 × 724 × 724

Step 2: You get 379,641,344 as the answer. Hence, the cube of 724 is 379,641,344.

Explore Our Programs

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 724 into two parts, such as a and b. Let a = 700 and b = 24, so a + b = 724

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

Step 3: Calculate each term a³ = 700³ 3a²b = 3 × 700² × 24 3ab² = 3 × 700 × 24² b³ = 24³

Step 4: Add all the terms together: (a + b)³ = a³ + 3a²b + 3ab² + b³ (700 + 24)³ = 700³ + 3 × 700² × 24 + 3 × 700 × 24² + 24³ 724³ = 343,000,000 + 35,280,000 + 12,096,000 + 13,824 724³ = 379,641,344

Step 5: Hence, the cube of 724 is 379,641,344.

Using a Calculator

To find the cube of 724 using a calculator, input the number 724 and use the cube function (if available) or multiply 724 × 724 × 724. This operation calculates the value of 724³, resulting in 379,641,344. It’s a quick way to determine the cube without manual computation.

Step 1: Ensure the calculator is functioning properly.

Step 2: Press 7 followed by 2 and then 4

Step 3: If the calculator has a cube function, press it to calculate 724³.

Step 4: If there is no cube function on the calculator, simply multiply 724 three times manually.

Step 5: The calculator will display 379,641,344.

Tips and Tricks for the Cube of 724

  • 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 724

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:

Download Worksheets

Problem 1

What is the cube and cube root of 724?

Okay, lets begin

The cube of 724 is 379,641,344 and the cube root of 724 is approximately 8.998.

Explanation

First, let’s find the cube of 724.

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 724³ = 379,641,344

Next, we must find the cube root of 724 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√724 ≈ 8.998

Hence the cube of 724 is 379,641,344 and the cube root of 724 is approximately 8.998.

Well explained 👍

Problem 2

If the side length of the cube is 724 cm, what is the volume?

Okay, lets begin

The volume is 379,641,344 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 724 for the side length: V = 724³ = 379,641,344 cm³.

Well explained 👍

Problem 3

How much larger is 724³ than 624³?

Okay, lets begin

724³ – 624³ = 158,368,000.

Explanation

First, find the cube of 724³, that is 379,641,344

Next, find the cube of 624³, which is 221,273,344

Now, find the difference between them using the subtraction method. 379,641,344 – 221,273,344 = 158,368,000

Therefore, the 724³ is 158,368,000 larger than 624³.

Well explained 👍

Problem 4

If a cube with a side length of 724 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 724 cm is 379,641,344 cm³.

Explanation

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

Cubing 724 means multiplying 724 by itself three times: 724 × 724 = 524,176, and then 524,176 × 724 = 379,641,344.

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

Therefore, the volume of the cube is 379,641,344 cm³.

Well explained 👍

Problem 5

Estimate the cube 723.5 using the cube 724.

Okay, lets begin

The cube of 723.5 is approximately 379,641,344.

Explanation

First, identify the cube of 724, The cube of 724 is 724³ = 379,641,344.

Since 723.5 is only a tiny bit less than 724, the cube of 723.5 will be almost the same as the cube of 724.

The cube of 723.5 is approximately 379,641,344 because the difference between 723.5 and 724 is very small.

So, we can approximate the value as 379,641,344.

Well explained 👍

FAQs on Cube of 724

1.What are the perfect cubes up to 724?

The perfect cubes up to 724 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 724³?

To calculate 724³, use the multiplication method, 724 × 724 × 724, which equals 379,641,344.

3.What is the meaning of 724³?

724³ means 724 multiplied by itself three times, or 724 × 724 × 724.

4.What is the cube root of 724?

5.Is 724 a perfect cube?

No, 724 is not a perfect cube because no integer multiplied by itself three times equals 724.

Important Glossaries for Cube of 724

  • 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.
  • Cube Root: The cube root of a number is a value that, when multiplied by itself twice, gives the original number.
  • Perfect Cube: A number that can be expressed as the cube of an integer.

What Is Algebra? 🧮 | Simple Explanation with 🎯 Cool Examples for Kids | ✨BrightCHAMPS Math

▶

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.