Cube of 720
2026-02-28 14:07 Diff
https://brightchamps.com/en-us/math/algebra/cube-of-720

220 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 the cube of 720.

Cube of 720

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 720 can be written as 720³, which is the exponential form. Or it can also be written in arithmetic form as, 720 × 720 × 720.

How to Calculate the Value of Cube of 720

To determine 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 to cube the numbers faster and easier without confusion or getting 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 numbers 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. 720³ = 720 × 720 × 720

Step 2: You get 373,248,000 as the answer. Hence, the cube of 720 is 373,248,000.

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 720 into two parts, as and . Let a = 700 and b = 20, so a + b = 720

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 20

3ab² = 3 × 700 × 20²

b³ = 20³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 20)³ = 700³ + 3 × 700² × 20 + 3 × 700 × 20² + 20³

720³ = 343,000,000 + 29,400,000 + 8,400,000 + 8,000

720³ = 373,248,000

Step 5: Hence, the cube of 720 is 373,248,000.

Using a Calculator

To find the cube of 720 using a calculator, input the number 720 and use the cube function (if available) or multiply 720 × 720 × 720. This operation calculates the value of 720³, resulting in 373,248,000. 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, then 0

Step 3: If the calculator has a cube function, press it to calculate 720³.

Step 4: If there is no cube function on the calculator, simply multiply 720 three times manually.

Step 5: The calculator will display 373,248,000.

Tips and Tricks for the Cube of 720

  • 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 720

There are some typical errors that might occur during the process of cubing a number. Let us take a look at five of the major mistakes that might be made:

Download Worksheets

Problem 1

What is the cube and cube root of 720?

Okay, lets begin

The cube of 720 is 373,248,000 and the cube root of 720 is approximately 8.894.

Explanation

First, let’s find the cube of 720.

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 720³ = 373,248,000

Next, we must find the cube root of 720 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 ∛720 ≈ 8.894

Hence the cube of 720 is 373,248,000 and the cube root of 720 is approximately 8.894.

Well explained 👍

Problem 2

If the side length of the cube is 720 cm, what is the volume?

Okay, lets begin

The volume is 373,248,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 720 for the side length: V = 720³ = 373,248,000 cm³.

Well explained 👍

Problem 3

How much larger is 720³ than 700³?

Okay, lets begin

720³ – 700³ = 30,248,000.

Explanation

First, find the cube of 720³, which is 373,248,000

Next, find the cube of 700³, which is 343,000,000

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

373,248,000 – 343,000,000 = 30,248,000

Therefore, 720³ is 30,248,000 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 720 cm is compared to a cube with a side length of 200 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 720 cm is 373,248,000 cm³.

Explanation

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

Cubing 720 means multiplying 720 by itself three times: 720 × 720 = 518,400, and then 518,400 × 720 = 373,248,000.

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

Therefore, the volume of the cube is 373,248,000 cm³.

Well explained 👍

Problem 5

Estimate the cube of 719 using the cube of 720.

Okay, lets begin

The cube of 719 is approximately 373,248,000.

Explanation

First, identify the cube of 720, The cube of 720 is 720³ = 373,248,000.

Since 719 is only a tiny bit less than 720, the cube of 719 will be almost the same as the cube of 720.

The cube of 719 is approximately 373,248,000 because the difference between 719 and 720 is very small.

So, we can approximate the value as 373,248,000.

Well explained 👍

FAQs on Cube of 720

1.What are the perfect cubes up to 720?

The perfect cubes up to 720 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 720³?

To calculate 720³, use the multiplication method, 720 × 720 × 720, which equals 373,248,000.

3.What is the meaning of 720³?

720³ means 720 multiplied by itself three times, or 720 × 720 × 720.

4.What is the cube root of 720?

5.Is 720 a perfect cube?

No, 720 is not a perfect cube because no integer multiplied by itself three times equals 720.

Important Glossaries for Cube of 720

  • 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, which equals 8.
  • Perfect Cube: A number that can be expressed as the cube of an integer.
  • Volume: The amount of space that a substance or object occupies, or that is enclosed within a container, especially when great.

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.