Answer:
54 square units
Step-by-step explanation:
In order to calculate the surface area of the prism you have to calculate the area of each face of the prism, and you have to remember the different formulas to calculate the areas:
[tex]Rectangle=Length*Width[/tex]
[tex]Triangle=\frac{Base*Height}{2}[/tex]
So you just have to insert the values into the formulas:
[tex]Rectangle1=4*3.5[/tex]
[tex]Rectangle1=14[/tex]
[tex]Rectangle2=5*3.5[/tex]
[tex]Rectangle2=17.5[/tex]
[tex]Rectangle3=3*3.5[/tex]
[tex]Rectangle3=10.5[/tex]
[tex]Triangle1=\frac{4*3}{2}[/tex]
[tex]Triangle1=6[/tex]
[tex]Triangle2=\frac{4*3}{2}[/tex]
[tex]Triangle2=6[/tex]
If you add up all the faces, you get the surface area of the prism:
14+17.5+10.5+6+6=54
