Question

find the surface area of a triangular prism with the dimensions of 14 16 and 18

Answer 1

To find the height of the triangle we can use pythagorean theorem or a squared to b squared  = c squared with c as the hypotenuse.

14 squared + height squared = 16 squared
196 + height squared = 256
height squared = 60
height = 2$\sqrt{15}$

The formula for surface area or total area is:
perimeter x height + 2 x area of base
30 + 2$\sqrt{15}$ + 28$\sqrt{15}$
30 + 30$\sqrt{15}$ = final answer

Hopes it helps!