Cube of 733
2026-02-28 10:21 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 in comparing sizes of objects or things with cubic measurements. In this topic, we shall learn about the cube of 733.

Cube of 733

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 733 can be written as 733³, which is the exponential form. Or it can also be written in arithmetic form as, 733 × 733 × 733.

How to Calculate the Value of Cube of 733

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 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. 733³ = 733 X 733 X 733

Step 2: You get 393,737,237 as the answer. Hence, the cube of 733 is 393,737,237.

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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 733 into two parts, as 700 and 33. Let a = 700 and b = 33, so a + b = 733

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 33

3ab² = 3 × 700 × 33²

b³ = 33³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 33)³ = 700³ + 3 × 700² × 33 + 3 × 700 × 33² + 33³

733³ = 343,000,000 + 48,510,000 + 2,286,300 + 35,937

733³ = 393,737,237

Step 5: Hence, the cube of 733 is 393,737,237.

Using a Calculator

To find the cube of 733 using a calculator, input the number 733 and use the cube function (if available) or multiply 733 × 733 × 733. This operation calculates the value of 733³, resulting in 393,737,237. 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 twice

Step 3: If the calculator has a cube function, press it to calculate 733³.

Step 4: If there is no cube function on the calculator, simply multiply 733 three times manually.

Step 5: The calculator will display 393,737,237.

Tips and Tricks for the Cube of 733

  • 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 733

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 733?

Okay, lets begin

The cube of 733 is 393,737,237 and the cube root of 733 is approximately 8.973.

Explanation

First, let’s find the cube of 733.

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 733³ = 393,737,237.

Next, we must find the cube root of 733. 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 ∛733 ≈ 8.973.

Hence the cube of 733 is 393,737,237 and the cube root of 733 is approximately 8.973.

Well explained 👍

Problem 2

If the side length of the cube is 733 cm, what is the volume?

Okay, lets begin

The volume is 393,737,237 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 733 for the side length: V = 733³ = 393,737,237 cm³.

Well explained 👍

Problem 3

How much larger is 733³ than 500³?

Okay, lets begin

733³ – 500³ = 266,237,237.

Explanation

First, find the cube of 733, which is 393,737,237.

Next, find the cube of 500, which is 125,000,000.

Now, find the difference between them using the subtraction method. 393,737,237 – 125,000,000 = 266,237,237.

Therefore, 733³ is 266,237,237 larger than 500³.

Well explained 👍

Problem 4

If a cube with a side length of 733 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 733 cm is 393,737,237 cm³.

Explanation

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

Cubing 733 means multiplying 733 by itself three times: 733 × 733 = 536,089, and 536,089 × 733 = 393,737,237.

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

Therefore, the volume of the cube is 393,737,237 cm³.

Well explained 👍

Problem 5

Estimate the cube of 732.9 using the cube of 733.

Okay, lets begin

The cube of 732.9 is approximately 393,737,237.

Explanation

First, identify the cube of 733, The cube of 733 is 733³ = 393,737,237.

Since 732.9 is only a tiny bit less than 733, the cube of 732.9 will be almost the same as the cube of 733.

The cube of 732.9 is approximately 393,737,237 because the difference between 732.9 and 733 is very small.

So, we can approximate the value as 393,737,237.

Well explained 👍

FAQs on Cube of 733

1.What are the perfect cubes up to 733?

The perfect cubes up to 733 are 1, 8, 27, 64, 125, 216, 343, 512, and 729.

2.How do you calculate 733³?

To calculate 733³, use the multiplication method: 733 × 733 × 733, which equals 393,737,237.

3.What is the meaning of 733³?

733³ means 733 multiplied by itself three times, or 733 × 733 × 733.

4.What is the cube root of 733?

5.Is 733 a perfect cube?

No, 733 is not a perfect cube because no integer multiplied by itself three times equals 733.

Important Glossaries for Cube of 733

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

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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.