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

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
 

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 

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
 

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.
 

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.

• 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 Side^3. For example 34³.