Cube of 34
2026-02-28 19:16 Diff
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Last updated on August 5, 2025

An integer multiplied by itself three times gives you a product, we call this product a cube. We use cubes in construction, physics and even in geometry. Cubes are also another name for the shape of a 3D object. But in this topic we are going to talk about the cube of 34.

What is the cube of 34?

A cube number, it is also called as a perfect cube, a number which you will be getting when an integer is multiplied by same three times. Cubes are mainly used in geometry to calculate the volume of the 3D object cube, by multiplying its side three times. 

The cube has negative and positive integers, we should know that in a negative integer multiplied by 3 times we will always get a negative number. There are a few interesting facts about cube of 34 that will make learning cubes to make students much easier. For example, a cube of any even number will always gives an even number. 

  • Cube of 34: 343 = 34 × 34 × 34 = 39304.
  • In an exponential form the cube of 34 is represented as 343
  • In an arithmetic form the cube of 34 is represented as 34 x 34 x 34

How to calculate the Value of Cube of 34?

The cube of a number will be calculated by multiplying the integer by themselves for three times. Here, we can find the cube of 34 by using the below methods:

Method 1: By Multiplication method
Method 2: Using a Formula (a3)
Method 3: Using a Calculator
 

By Multiplication method

To get the cube of 34 by multiplication method, follow the below steps:

Step 1: Write the number.
34

Step 2: When the integer is multiplied by themselves, we will get a square of the number. I.e., 
34 × 34 =1156

Step 3: Now multiply the result of step 2 by the original number to find the cube.
1156 × 34 = 39304 

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Using a Formula (a³)

When we calculate the cube of 34 by using the formula, which is (a+b)3= a3 + 3a2b + 3ab2 + b3, use the below steps:


Step 1: When a number is multiplied three times by themselves, which is called as cube

Now, a = 34.
(a3) = (343) = 34 × 34 × 34

Step 2: Break the number into two parts, i.e., a and b: 
343= (30 + 4)3

Step 3: Apply the formula:
(a + b)3= a3 + 3a2b + 3ab2 + b3
(30+4)3= 303+ 3 (30)2(4) + 3 (30)(4)2 + 43 

Step 4: Now we calculate each part:
303= 30 x 30 x 30 = 27000
3(30)2(4) = 3 x (30 x 30) x 4 = 3 x 900 x 4 = 10800
3(30)(4)2= 3 x 30 x 16 = 1440
 43 = 4 x 4 x 4 = 64

Step 5: Add all the results:
 27000 + 10800 + 1440 + 64 = 39304

Step 6: The final answer is:
343= 39304
 

Using a Calculator

For finding the cube of 34 by using a calculator, we use the below steps:

Step 1: Press the number 34 on your calculator.

Step 2: Then, press the cube button (3) on your calculator, and if it is not there then multiply the  number 34 by three times ( 34 x 34 x 34).

Step 3: Now, click the “ENTER” button on your calculator. The answer will shows on your calculator as 39304.

Therefore, the cube of 34 is 39304.
 

Tips and Tricks for the Cube of 34

Using these tips and tricks, the cube of a number can be learned quickly by students

.

  • An odd number when cubed will always be odd. The same goes for an even number as well.
  • We use a3 - b3 = (a - b)(a2 + ab + b2) to simplify calculations. This is the difference of cube formula. 
  •  The sum of two consecutive odd integers always results in even numbers.

Common Mistakes to Avoid When Calculating the Cube of 34

It is common to make mistakes when calculating the cube. Identifying these mistakes and correcting them helps the students. The common mistakes are as follows.

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Problem 1

What is the difference between the 34³ and 40³?

Okay, lets begin

Cube of 34 = 34 × 34 × 34 = 39304
Cube of 40 = 40 × 40 × 40 = 64000
Difference = 64000 - 39304 = 24696
 

Explanation

39304 is the cube of 34 and 64000 is the cube of 40, so the difference between 343 and 403 is 24696.
 

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Problem 2

Find the volume of the cube, which has a side of 34 units.

Okay, lets begin

 The volume of the cube is 39304 cubic units
 

Explanation

Volume = Side3


Substitute the value of side length 


Volume = 343 =39304 cubic units


Therefore, the volume of the cube, which has a side of 34 units is 39304 cubic units.
 

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Problem 3

A cube of 34cm weighs 2 grams per cubic cm. What is the total weight of the cube?

Okay, lets begin

Volume(v)  =  343= 39304
Weight = 39304 × 2 
The total weight is, 78608g
 

Explanation

 The volume of a cube whose side is 34cm is 39304 cm3. The total weight of the cube is 78608 grams. The volume is the amount of space an object can occupy, and the weight is how heavy the entire cube is.     

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Problem 4

Find the diagonal of a cube whose side length is 34 cm.

Okay, lets begin

The diagonal of a cube is approximately 58.8 cm.
 

Explanation

the formula for the diagonal of a cube is d = s√3


Side length s = 34


Now, substitute the value 

d = 34 x √3 
= 34 × 1.732
≈ 58.8 cm


Therefore, the diagonal of a cube whose side length is 34 cm is approximately 58.888 cm.  

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Problem 5

Simplify the equation (34³)²

Okay, lets begin

 1,544,804,416
 

Explanation

Using the property (am)n = am.n


 (343)2= 343 . 2 =  346


 = 1,544,804,416.


The rule of exponent states that when there is a power to a power, we multiply the exponents first. Which is what we do here. The final answer is 346. i.e., 1,544,804,416.
 

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FAQs on Cube of 34

1. Write down the first five perfect cubes

13 = 1, 23 = 8, 33 = 27, 43 = 64, and 53 = 125. These are the first five perfect cubes. 

2.What do you mean by a perfect cube?

We say a cube is perfect when we can write it as n3. Where “n” is an integer.  
 

3.Which is the largest perfect cube, less than 500?

The largest perfect cube which is less than 500 is 73 = 343.
 

4.What is the cube formula?

(a + b)3= a3 + 3a2b + 3ab2 + b3 is the formula to find the cube.

5.What are the nearest perfect cubes to 34?

27 = 33 and 64 = 43  are the nearest perfect cubes of the number 34.

Important glossaries for Cube of 34

  • Cube: The multiplication of a number by itself three times is represented as a3.
  • Exponential form: The representation of a number which is a raised to the power b, For example, 343.  
  • Arithmetical form: The sequential process of multiplying a number three times. For example, 34 x 34 x 34.
  • Cube Root: A number which is multiplied by the same number three times, and it will gives an original number is cube root. For example,  ∛8 =  ∛(2 × 2 × 2) = 3
  • Volume: The area occupied by a cube, which is calculated by Side3. For example 343.

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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.