find the surface area of the prism to the nearest tenth.

To determine the surface area of the prism we need add the following areas:
• Two triangles with base of 6 in and height 4 in.
,• Two rectangles with length 10 in and width 5 in
,• One rectangle with length 10 in and width 6 in.
Then the surface area is:
[tex]\begin{gathered} SA=2(\frac{1}{2}\cdot6\cdot4)+2(10\cdot5)+10\cdot6 \\ SA=24+100+60 \\ SA=184 \end{gathered}[/tex]Therefore, the surface area is 184 square inches