# How to Calculate Surface Area of Pyramid?

Tutorial on how to calculate surface area of pyramid with a simple and neat example and formula.

## Surface Area of a Pyramid Calculation

Pyramid is a three-dimensional structure with polygon base. Usually pyramid is referred using their base shapes. Each corner of the pyramid is connected with its apex. Surface area of the pyramid can be found by adding the surface area of the base to the surface area of the lateral faces. You can refer the below surface area of a pyramid formula and example to understand how to calculate surface area of pyramid.

**Pyramid Surface Area Formula:**

**General Surface Area of Pyramid = ****[Base Area] +
**^{1}/_{2} Ã— [Perimeter] Ã— [Slant Length]

**How To Calculate Surface Area of ****a Pyramid? ****Example Problem**

**Step 1:** Consider a pyramid with the base area of 20cm, perimeter of 15cm and slant height of 12cm. Calculate surface area of a pyramid.

Given,

Base area - 20cm

Perimeter - 15cm

Slant Height - 12cm

**Step 2:** Substitute the values in the formula.

** Surface Area of Pyramid = ****[Base Area] +
**^{1}/_{2} Ã— Perimeter Ã— [Slant Length]

= 20 + (15 x 12 / 2)

= 20 + (180/2)

= 20 + 90

= 110cm^{2}

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