Question

The LATERAL Surface Area for the shape below is ____________.

Answer 1

`LA=162\ in^2`

Explanation:

we know that

The lateral surface area of the triangular prism of the figure is equal to

`LA=Ph`

where

P is the perimeter of the triangular base

h is the height of the prism

Find the perimeter of the base P

`P=8+7+12=27\ in`

we have

`h=6\ in`

substitute in the formula of lateral area

`LA=27(6)=162\ in^2`