What is the surface area of the right prism given below?

For this case, we have that the area of the surface of the figure shown is given by:

: The area of the upper rectangle (inclined)

: The area of the two triangles.

: The area of the base of the prism

: The area of the rear rectangle

We apply Pythagoras to know the length of the inclined side of the rectangle:

Thus, the is given by:

We look for the area given by the triangles, knowing that the area of a triangle is , then:

We look for the area of the base of the prism:

We look for the area of the posterior rectangle:

Adding we have: