**Introduction To Perimeter Of A Cube Formula :**

In geometry, a cube is a three-dimensional solid object bounded by six square faces, facets or sides, with three meeting at each vertex (Source: Wikipedia). The total distance around the outer surface of a two dimensional shape is called as perimeter. In this article we will see about perimeter of a cube formula and the example problems using that formula.

I like to share this Cube Formula with you all through my article.

**Perimeter of a Cube Formula :**

As a cube has 12 sides ,

The perimeter of a cube formula is,

Perimeter = 12 a (a= length)

**Example Problems Using Perimeter of a Cube Formula :**

Example 1:

A cube is 6 inches length. Find its perimeter ?

Solution:

Given,

a= 6 inches

By Perimeter of a cube formula ,

Perimeter = 12 a

= 12 * 6

= 72inches.

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Example 2:

A cube has the surface area 24 sq.ft. Find its perimeter

Solution:

Given,

Area = 24 sq.ft

By formula,

Surface area of cube = 6a^2

6 a^2= 24

Divide by 6 on both sides,

`(6a^2)/6` = `24/6`

a^2= 4

By taking square root on both sides,

a=2

By Perimeter of a cube formula ,

Perimeter = 12 a

= 12 *2

=24 inches.

Example 3:

The perimeter of a cube is 102 cm. Find the length of its side?

Solution:

Given,

Perimeter = 102cm

By Perimeter of a cube formula ,

Perimeter = 12 a = 102

a= `102/12`

= 8.5cm

Hence the cube has the length 8.5cm

Example 4:

Lisa made a cube in science class. Each edge of her cube measured 4.5 cm. What is the perimeter of the cube?

Solution:

Given,

Length of the cube = a = 4.5cm

By Perimeter of a cube formula ,

Perimeter = 12 a

= 12 * 4.5

= 54 cm

Example 5:

Cubic oil can have the perimeter 1024 ft. Find the length of the can?

Solution:

Given,

Perimeter of the can = 1024ft

By Perimeter of a cube formula ,

Perimeter = 12 a = 1024

12a=1024

Divide by 12 on both sides,

`(12a)/12=`` 1024/12`

a= 85.33

Hence the length of the oil can is 85.33ft.

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