find the surface area of the triangular prism shown below.

Answer:
136 units²
Step-by-step explanation:
The surface area (SA) is calculated as
SA = area of base + area of 2 congruent sloping faces + area of 2 triangular ends
area of base = 6 × 7 = 42 units²
area of sloping faces = 2 (7 × 5) = 2 × 35 = 70 units²
area of triangular faces = 2 × [tex]\frac{1}{2}[/tex] × 6 × 4 = 6 × 4 = 24 units²
SA = 42 + 70 + 24 = 136 units²