can someone plz explain 2 me how to get the surface area of a right-triangular prism w/ rectang. lateral faces

Question

its height is 4 and the right triangle which forms its base measures 6 and 8, the hypotenuse is not given. I hope it's clear enough.

i really don't get this!

Answer 1

you can figure out the hypotenuse using the pythagorean theorem (a^2 + b^2 = c^2), so the hypotenuse is 10.

After that, you just add up the areas of all the surfaces - For the triangles, its 6x8 divided by 2 = 24

For the rectangular faces, you do the following
4x8 = 32
4x6 = 24
10x4 = 40

Add all these up and you get as surface area of 120.