**Surface Area of Cube **

**Surface Area of a cube** is the total area of the outside surfaces of the cube or we can say that number of square units that will exactly cover the surface of a cube. Interested ones can get Surface Area of Cube Formula and How to Calculate TSA, CSA, LSA of Cube from here.

Surface Area of Cube is measured in terms of square unit and students should know that a cube has 6 identical square faces and hence it is also called as hexahedron. From the below tuned image, must note that each faces have 4 edges and 12 edges in a cube.

**Surface Area of a Cube Formula is,**

Surface area of Cube=6a^{2}

Where,

a is the side length of the cube.

Check Formula of: __Surface Area of Sphere__

**Surface Area of Cube **

__Solved Examples__

**Question 1: **What is the surface area of a cube of side 5 cm ?

**Solution:**

Given,

Side of the cube = a = 5 cm

Surface Area of a Cube

= 6a^{2}

= 6 x 5^{2} cm^{2}

= 6 x 25 cm^{2}

= 150 cm^{2}

Read Also: __How to Prepare for Maths__

**Question 2: **What is the surface area of a cube of side 17 cm ?

**Solution:**

Given,

Side of the cube = a = 17 cm

Surface Area of a Cube

= 6a^{2}

= 6 x 17^{2} cm^{2}

= 6 x 289 cm^{2}

= 1734 cm^{2}

Find the surface area if the length of one side is 3 cm

Surface area = 6 × a^{2}

= 6 × 3^{2}

= 6 × 3 × 3

= 54 cm^{2}

Find the surface area if the length of one side is 5 cm

Surface area = 6 × a^{2}

= 6 × 5^{2}

= 6 × 5 × 5

= 150 cm^{2}

Check Out: __Surface Area of Cylinder Formula__

__ How to Calculate TSA, CSA, LSA of Cube__?

Here are some formulas from which you can calculate Total Surface Area of a Cube, Lateral surface area of cube and curved area of cube. So go and check and start practice accordingly.

**Total Surface Area of a Cube =** 6 l^{2}

**CSA of cube** **= **4 a square

**Lateral surface area of cube**

2(l×l+l×l) = 4l2

Note:

- Diagonal of the cuboid = √l2 + b2 + h2
- Perimeter of a cuboid = 4(l+b+h)
- Diagonal of a cube = √3l
- Perimeter of a cube = 12l

Get Maths Vedic/Basic Formulas Free List: __Maths Formulas__

**Example 1: **Find the total surface area of cuboid with dimensions 2 inch by 3 inch by 7 inch.

**Solution:**

Total Surface Area(TSA) = 2 (lb + bh + hl )

TSA = 2 ( 2*3 + 3*7 + 7*2 )

TSA = 2 ( 6 + 21 + 14 )

TSA = 82

So, the total surface area of this cuboid is 82 inches2

**Example 2: **The length, width and height of a cuboid are 12 cm, 13 cm and 15 cm respectively. Find the lateral surface area of a cuboid.

**Solution:**

Lateral surface area of a cuboid is given by:

LSA = 2h ( l + w )

Insert the values into the formula,

LSA = 2*15 ( 12 + 13 )

LSA = 750 cm2

How To Find Area Of Right Angled Triangle: __Formula with Examples__

Candidates can calculate the Surface Area of Cube with the standard regular polygon method, check above given examples to clear the concept of Area of an Octagon and practice more by using the given formulae.

__Something That You Should Put An Eye On__

Area of Polygon | Area of Hexagon |

Area Of Parallelogram | Area Of A Trapezium |

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Area of Quadrilateral | Find Area of Circle |

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