Answer:
720 square inches.
Explanation:
To find the surface area of a triangular prism, we need to find the area of each face and add them together.
The triangular bases have base 12 in and height 15 in, so the area of each is:
(1/2) × 12 in × 15 in = 90 in²
The rectangular faces have dimensions 20 in × 15 in and 20 in × 12 in, so their areas are:
20 in × 15 in = 300 in²
20 in × 12 in = 240 in²
Adding these up, we get:
2 × 90 in² + 300 in² + 240 in² = 720 in²
the surface area of the triangular prism is 720 square inches.