Answer:
Option B. Net A with 480 square inches.
Step-by-step explanation:
The net for triangular prism consists of
2 identical triangles, here all nets have sides 5", 12", and 13".
3 rectangles, all with a common dimension: the Length or height
H=14 inches of the prism.
Each of the 3 rectangles should have dimensions
H=14 plus one of the following:
each of 5, 12, 13 corresponding to one side of the base (triangle).
So the dimensions of the rectangles are
5 × 14, 12 × 14, 13 × 14
And dimensions of the triangles are
5,12 and 13.
The total surface area is therefore
(5+12+13)×14 + 2×(5×12/2)
(30)(14)+2(60/2)
= 420+2(60/2)
= 420+2(30)
= 420+60
= 480 square inches.
Net A with 480 square inches is the correct net of the prism.
