To find the surface area, there are a few things you need to do:
First, you need to find the lateral sides and base sides: I'll put in an image. The blue will be the 2 bases (triangles) and the pink will be the lateral area ( 3 rectangles)
To find the lateral area, you have to multiply the perimeter and the height:
lateral area - ph
Find the perimeter and height (perimeter will be in green and the height will be red on another image )
Perimeter is 5.2 feet (2 feet + 1 foot + 2.2 feet)
The height is 10 feet.
Multiply them both together: 5.2 • 10 = 52
The lateral area of the triangular prism is 52cm².
Now you have to the area of the 2 triangular bases:
½bh (I will put another image- the literal bases will be purple and the heights will be purple)
½(1)(2)
The area of one of the bases is 1cm². . Multiply the area of the triangle by 2 to account for both.
The area for the both bases is 2cm².
Now all you have to do is add the lateral area and 2 base areas together:
52cm² + 2cm² = 54cm².
The surface area of the triangular prism is 54cm².
