Cube of 734
2026-02-28 10:13 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 cubes of 734.

Cube of 734

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 734 can be written as 734³, which is the exponential form. Or it can also be written in arithmetic form as 734 × 734 × 734.

How to Calculate the Value of Cube of 734

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 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. 734³ = 734 × 734 × 734

Step 2: You get 395,383,304 as the answer. Hence, the cube of 734 is 395,383,304.

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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 734 into two parts. Let a = 700 and b = 34, so a + b = 734

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

Step 3: Calculate each term

a³ = 700³

3a²b = 3 × 700² × 34

3ab² = 3 × 700 × 34²

b³ = 34³

Step 4: Add all the terms together:

(a + b)³ = a³ + 3a²b + 3ab² + b³

(700 + 34)³ = 700³ + 3 × 700² × 34 + 3 × 700 × 34² + 34³

734³ = 343,000,000 + 50,120,000 + 24,192,000 + 39,304

734³ = 395,383,304

Step 5: Hence, the cube of 734 is 395,383,304.

Using a Calculator

To find the cube of 734 using a calculator, input the number 734 and use the cube function (if available) or multiply 734 × 734 × 734. This operation calculates the value of 734³, resulting in 395,383,304. 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 then 4

Step 3: If the calculator has a cube function, press it to calculate 734³.

Step 4: If there is no cube function on the calculator, simply multiply 734 three times manually.

Step 5: The calculator will display 395,383,304.

Tips and Tricks for the Cube of 734

  • 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 734

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 734?

Okay, lets begin

The cube of 734 is 395,383,304 and the cube root of 734 is approximately 8.999.

Explanation

First, let’s find the cube of 734.

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 734³ = 395,383,304.

Next, we must find the cube root of 734.

We know that the cube root of a number ‘x’ is 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√734 ≈ 8.999.

Hence, the cube of 734 is 395,383,304 and the cube root of 734 is approximately 8.999.

Well explained 👍

Problem 2

If the side length of the cube is 734 cm, what is the volume?

Okay, lets begin

The volume is 395,383,304 cm³.

Explanation

Use the volume formula for a cube V = Side³.

Substitute 734 for the side length: V = 734³ = 395,383,304 cm³.

Well explained 👍

Problem 3

How much larger is 734³ than 700³?

Okay, lets begin

734³ – 700³ = 52,383,304.

Explanation

First find the cube of 734, which is 395,383,304.

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

Now, find the difference between them using the subtraction method. 395,383,304 – 343,000,000 = 52,383,304.

Therefore, 734³ is 52,383,304 larger than 700³.

Well explained 👍

Problem 4

If a cube with a side length of 734 cm is compared to a cube with a side length of 34 cm, how much larger is the volume of the larger cube?

Okay, lets begin

The volume of the cube with a side length of 734 cm is 395,383,304 cm³.

Explanation

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

Cubing 734 means multiplying 734 by itself three times: 734 × 734 = 538,756, and then 538,756 × 734 = 395,383,304.

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

Therefore, the volume of the cube is 395,383,304 cm³.

Well explained 👍

Problem 5

Estimate the cube of 733.9 using the cube of 734.

Okay, lets begin

The cube of 733.9 is approximately 395,383,304.

Explanation

First, identify the cube of 734.

The cube of 734 is 734³ = 395,383,304.

Since 733.9 is only a tiny bit less than 734, the cube of 733.9 will be almost the same as the cube of 734.

The cube of 733.9 is approximately 395,383,304 because the difference between 733.9 and 734 is very small.

So, we can approximate the value as 395,383,304.

Well explained 👍

FAQs on Cube of 734

1.What are the perfect cubes up to 734?

The perfect cubes up to 734 are 1, 8, 27, 64, 125, 216, 343, and 512.

2.How do you calculate 734³?

To calculate 734³, use the multiplication method: 734 × 734 × 734, which equals 395,383,304.

3.What is the meaning of 734³?

734³ means 734 multiplied by itself three times, or 734 × 734 × 734.

4.What is the cube root of 734?

5.Is 734 a perfect cube?

No, 734 is not a perfect cube because no integer multiplied by itself three times equals 734.

Important Glossaries for Cube of 734

  • 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 product of an integer multiplied by itself twice more, such as 8 (2³) or 27 (3³).
  • Volume of a Cube: It is the amount of space inside a cube, calculated by cubing the length of one of its sides.

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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.