A triangular prism is 11 meters long and has a triangle face with, base of 6 meters and height of 4 meters. The other sides of the triangle 5 meters. Whats the surface area of the triangular prism?

Question

PLease help im having a lot of trouble with this!

Answer 1

https://www.math-salamanders.com/image-files/3d-triangular-prism.png

In order to find the total surface area, we should add up the areas that we calculate for each face of the shape.

The two triangles are the easiest to spot: one on each end of the shape, so we'll add that area twice. The area formula for a triangle is A= (1/2) (base*height). For our prism, the base is 6 meters and the height is 4 meters.

A= (1/2) (4*6)

So the area for each triangular face is 12 meters squared, with a combined area of 24 meters squared.

Next are the "walls" of the prism: these are just rectangles that are 11x5 sq meters. If each of the two "walls" has an area of 55 square meters, then together they have 110 square meters.

Finally is the "floor" of the prism, which is a 6x11 sq meter rectangle— 66 meters squared.

So to find the total surface area, we'll just add up all of these areas!

110+66+24= 200 square meters

1. square meters and meters squared are the same measurement, but are NOT the same as m²