Cube of 31

A cube of a number is the product of the same number when it is multiplied by itself thrice. Cubes are also known as perfect cubes. The cube of positive numbers is positive and the cube of negative numbers is negative. This is because if we multiply a negative number three times, it results in a negative value. 

The cubes of positive numbers are positive. The cube of negative numbers is negative because when we multiply a negative number three times it gives a negative number as the result.

• Cube of 31: 31³= 29791
• Cube of 31 in Exponential form: 31³
• Cube of 31 in Arithmetic form: 31 × 31 × 31

To calculate the cube of a number, you can multiply the number by itself three times. To find the cube of 31 we use the following methods:

• By Multiplication Method
• Using a Formula (a³)
• Using a Calculator

This method includes the multiplication of the number by itself thrice to find its cube.

Use these steps to determine the cube of a number:

Step 1: First write the number.

31

Step 2: Multiply 31 by itself to get 31².

31 x 31 = 961

Step 3: Multiply 312 with 31 to get 31³

 961 x 31 = 29791.

This formula is used to find the cube of a number by expanding the expression   (a+b)³= a³ + 3a²b + 3ab² + b³

Step 1: Cubing a number means, multiplying the number by itself three times

Here a = 31 so:
 31 × 31 × 31 = (31³)

Step 2: Break the number into two parts (a and b) : 
 31³= (30 + 1)³

Step 3: Apply the formula:
(a + b)³= a³ + 3a²b + 3ab² + b³
 (30+1)³= 30³+ 3 (30)²(1) + 3 (30)(1)² + 1³ 

Step4: Now we calculate each part:
30³= 30 x 30 x 30 = 27000
3(30)²(1) = 3 x (30 x 30) x 1 = 3 x 900 = 2700
 3(30)(1)²= 3 x 30 x 1 = 90
  1³= 1

Step5: Add the terms:
27000 + 2700 + 90 + 1 = 29791

Step6: Final result:
31³= 29791

To calculate the cube of 31 using a calculator, you can follow the steps mentioned below to find the answer.

 
Step 1: Enter the number 31 in the calculator.

Step 2: Press the cube button ( x³) if available, or you can manually type 31 x 31 x 31.

Step 3: Press the enter button. The calculator will give you the result as 29791.

The cube of 31 is 29791.
 

Kids can learn cube of a number quickly by using the following tips and tricks.

• The cube of odd numbers will always be an odd number.
• The sum of successive odd numbers can be used to describe perfect cube numbers.
• The cube of a number denotes the volume of a cube.

Exponent: It is a way of expressing a number as a power of another. For example, 23, here 2 is the base and 3 is the exponent.

Volume: Volume of an object is the space occupied by a three-dimensional object. For example, the volume of a cube, cuboid. 

Cube Root: The cube root is an inverse operation of cubing a number. For example, ∛125 is 5.