Question

Which equation could be used to find the surface area of the net of the triangular prism shown?

SA = (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (1/2) (5)(13) + (1/2) (5)(13) + (5)(2) + (13)(2) + (12)(2)
SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)
SA = (2)(5)(13) + (5)(2) + (13)(2) + (12)(2)

Answer 1

SA = (1/2)(5)(12) + (1/2)(5)(12) + (5)(2) + (12)(2) + (13)(2)

Answer 2

`SA=(1)/(2)(5)(12)+ (1)/(2)(5)(12)+(5)(2)+(12)(2)+(13)(2)`

Explanation:

The picture of the question in the attached figure

we know that

The surface area of the given net is equal to the area of two triangles plus the area of three rectangles

so

`SA=(1)/(2)(5)(12)+ (1)/(2)(5)(12)+(5)(2)+(12)(2)+(13)(2)`

`SA=30+ 30+10+24+26=120\ units^2`