# Truncated Square Pyramid Calculator

Measure the value of total height, truncated base and base of the truncated square pyramid and enter it in the truncated square pyramid calculator and find the truncated height and total surface area of the pyramid.

Measure the value of total height, truncated base and base of the truncated square pyramid and enter it in the truncated square pyramid calculator and find the truncated height and total surface area of the pyramid.

Code to add this calci to your website

#### Formula:

Truncated Height = h (1 - ( b / a ) )
Total Surface Area = a^{2} + b^{2} + ( a^{2} - b^{2} ) √( 1+ ( 4 h^{2} / a^{2} ) )
**Where,**
a = Base
b = Truncated Base
h = Total Height
Find the total surface area and the total height of the truncated square pyramid using the **truncated square pyramid calculator**. The main factors required to calculate the total surface area and truncated height is the value of base, truncated base and the total height of the square pyramid.

**What is a Truncated Square Pyramid?: ** It is a pyramid where both the top and bottom bases forms a square shaped structure called as truncated square pyramid.

So calculate the total surface area (Tsa) and truncated height of the pyramid easily using the **truncated square pyramid calculator**.

### Example:

A truncated square pyramid of total height 40cm, truncated base 5cm, base 20cm. Find the total surface area and truncated height.

#### Solution:

Truncated Height = 40 (1 - ( 5 / 20 ) )

= 30cm

Total Surface Area = 20^{2} + 5^{2} + ( 20^{2} - 5^{2} ) √( 1+ ( 4 x 40^{2} / 20^{2} ) )

= 1971.16cm^{2}