Cube of 730
2026-02-28 09:00 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 while comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 730.

Cube of 730

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 730 can be written as 730³, which is the exponential form. Or it can also be written in arithmetic form as, 730 × 730 × 730.

How to Calculate the Value of Cube of 730

In order to check whether a number is a cube number or not, we can use the following three methods, such as the 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 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. 730³ = 730 × 730 × 730

Step 2: You get 389,017,000 as the answer. Hence, the cube of 730 is 389,017,000.

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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 730 into two parts, as 700 and 30. Let a = 700 and b = 30, so a + b = 730

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 30

3ab² = 3 × 700 × 30²

b³ = 30³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 30)³ = 700³ + 3 × 700² × 30 + 3 × 700 × 30² + 30³

730³ = 343,000,000 + 44,100,000 + 18,900,000 + 27,000

730³ = 389,017,000

Step 5: Hence, the cube of 730 is 389,017,000.

Using a Calculator

To find the cube of 730 using a calculator, input the number 730 and use the cube function (if available) or multiply 730 × 730 × 730.

This operation calculates the value of 730³, resulting in 389,017,000. 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 3 and 0

Step 3: If the calculator has a cube function, press it to calculate 730³.

Step 4: If there is no cube function on the calculator, simply multiply 730 three times manually.

Step 5: The calculator will display 389,017,000.

Tips and Tricks for the Cube of 730

  • 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 730

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 730?

Okay, lets begin

The cube of 730 is 389,017,000 and the cube root of 730 is approximately 8.9787.

Explanation

First, let’s find the cube of 730.

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

So, we get 730³ = 389,017,000.

Next, we must find the cube root of 730. We know that the cube root of a number ‘x’ is ∛x = y, where ‘x’ is the given number, and y is the cube root value of the number.

So, we get ∛730 ≈ 8.9787.

Hence the cube of 730 is 389,017,000, and the cube root of 730 is approximately 8.9787.

Well explained 👍

Problem 2

If the side length of the cube is 730 cm, what is the volume?

Okay, lets begin

The volume is 389,017,000 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 730 for the side length: V = 730³ = 389,017,000 cm³.

Well explained 👍

Problem 3

How much larger is 730³ than 700³?

Okay, lets begin

730³ – 700³ = 46,017,000.

Explanation

First find the cube of 730, which is 389,017,000.

Next, find the cube of 700, which is 343,000,000.

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

389,017,000 – 343,000,000 = 46,017,000.

Therefore, 730³ is 46,017,000 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 730 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 730 cm is 389,017,000 cm³.

Explanation

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

Cubing 730 means multiplying 730 by itself three times: 730 × 730 = 532,900, and then 532,900 × 730 = 389,017,000.

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

Therefore, the volume of the cube is 389,017,000 cm³.

Well explained 👍

Problem 5

Estimate the cube of 729 using the cube of 730.

Okay, lets begin

The cube of 729 is approximately 387,420,489.

Explanation

First, identify the cube of 730, The cube of 730 is 730³ = 389,017,000.

Since 729 is very close to 730, the cube of 729 will be slightly less than the cube of 730.

The cube of 729 is approximately 387,420,489 because the difference between 729 and 730 is very small.

However, for exact calculations, compute 729³ = 387,420,489.

Well explained 👍

FAQs on Cube of 730

1.What are the perfect cubes up to 730?

The perfect cubes up to 730 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 730³?

To calculate 730³, use the multiplication method, 730 × 730 × 730, which equals 389,017,000.

3.What is the meaning of 730³?

730³ means 730 multiplied by itself three times, or 730 × 730 × 730.

4.What is the cube root of 730?

The cube root of 730 is approximately 8.9787.

5.Is 730 a perfect cube?

No, 730 is not a perfect cube because no integer multiplied by itself three times equals 730.

Important Glossaries for Cube of 730

  • 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.
  • 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.

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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.