We have to calculate the surface area of the prism given.
The total surface area is the sum of the area of the faces and the base. We can list them and then calculate the area of each one:
1) Two rectangle of width 1 cm and length 2.5 cm.
2) One rectangle of width 1 cm and length 3 cm.
3) Two triangles with base 3 cm and height 2 cm.
We then can calculate the total area adding all the partial areas:
![\begin{gathered} A=2\cdot A_1+A_2+2\cdot A_3 \\ A=2\cdot(w_1\cdot l_1)+w_2\cdot l_2+2\cdot((b\cdot h)/(2)) \\ A=2\cdot(1\cdot2.5)+(1\cdot3)+2((3\cdot2)/(2)) \\ A=2\cdot2.5+3+2\cdot3 \\ A=5+3+6 \\ A=14\operatorname{cm}^2 \end{gathered}]()
Answer: the surface area of the prism is 14 cm^2.