# Lateral Surface Area Of a Square Pyramid Calculator

In geometry, a square pyramid is a pyramid having a square base. The Lateral surface area (LSA) is used to find the area of the sides of a 3D geometric figure such as a pyramid. LSA is the sum of the area of its lateral faces where all the side faces are the same. Use this Lateral Surface Area Of a Square Pyramid calculator to calculate the LSA of the square pyramid with the known values of side length and height.

In geometry, a square pyramid is a pyramid having a square base. The Lateral surface area (LSA) is used to find the area of the sides of a 3D geometric figure such as a pyramid. LSA is the sum of the area of its lateral faces where all the side faces are the same. Use this Lateral Surface Area Of a Square Pyramid calculator to calculate the LSA of the square pyramid with the known values of side length and height.

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#### Formula:

Lateral Surface Area of a Square Pyramid = a √ (a^{2} + 4h^{2})
**Where,**
a = Side Length
h = Height
### Example:

What is the lateral surface area of a square pyramid with side length as 8 cm and height 12 cm ?

#### Solution

LSA=a √ (a^{2} + 4h^{2})

= 8(√8^{2} + (4 x 12^{2}))

= 202.3858 cm^{2}