Question

The surface area of a triangular prism is 117.3 cm squared. If the Area of the base is 6.25 square cm., and the height of the prism is 8 cm, what is the perimeter of the base?

Answer 1

The perimeter of the base is 13.1 centimeters

Explanation:

we know that

The surface area of a triangular prism is equal to

`SA=2B+Ph`

where

B is the area of the triangular base

P is the perimeter of the triangular base

h is the length of the prism

we have

`SA=117.3\ cm^2\\B=6.25\ cm^2\\h=8\ cm`

substitute in the formula

`117.3=2(6.25)+P(8)`

solve for P

`P(8)=117.3-12.50\\8P=104.8\\P=13.1\ cm`