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Surface Area of a Pyramid Calculator
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Surface Area of a Pyramid Calculator is used to find the surface area of the pyramid.

Triangular pyramid reffered as regular tetrahedron. It has 6 edges and 4 vertices.

The surface area of the rectangular square pyramid is the sum of base and slant height of the pyramid.

## Step by Step Calculation

Step 1 :

Formula:

Surface area of a square pyramid (S) = b2 + 4($\frac{bs}{2}$)

It is further simplified

Surface area of pyramid (S) = b2 + 2bs

Where,

b = base

s = slant height

Surface area of a triangular pyramid (S) = $\frac{1}{2}$ * a * b + $\frac{3}{2}$ * b * l

Where,

a = apothem length

b = length of side

l = slant height

Step 2 :

Put the values in the formula and calculate it further.

## Example Problems

1. ### The base of the pyramid is 6 cm and its slant height is 9 cm. Find the surface area of the pyramid.

Step 1 :

Given:

base = 6 cm

slant height = 9 cm

Formula:

Surface area of pyramid (S) = b2 + 2bs

Step 2 :

Put the values in the formula and calculate it further.

S = 62 + ( 2 * 6 * 9 )

S = 144 cm2

Surface Area of Square Pyramid = 144 cm2

2. ### Find the surface area of triangular pyramid, whose apothem length 6 cm, length of side is 9 cm and slant height is 11 cm.

Step 1 :

Given: a = 6 cm

b = 9 cm

l = 11 cm

Formula:

Surface area of triangular pyramid = $\frac{1}{2}$ * a * b + $\frac{3}{2}$ * b * l

Step 2 :

Put the values in the formula and calculate it further.

Surface area of triangular pyramid = $\frac{1}{2}$ * 6 * 9 + $\frac{3}{2}$ * 9 * 11

= 175.5 cm2