Answer:
[tex]243.2cm^{2}[/tex]
Step-by-step explanation:
Step 1: Understand what this shape is constructed out of
2 Congruent Trapezoid
2 Congruent Rectangles
1 Small Rectangle
1 Large Rectangle
Step 2: Find the surface area of the shapes
Area of 2 Trapezoids =[tex](\frac{a+b}{2}h)2=(\frac{4+6}{2}2.8)2=(\frac{10}{2}2.8)2=((5)}(2.8))2= (11.6)(2)=23.2cm^{2}[/tex]
Area of 2 Rectangles = [tex](3)(10)(2)=(60)(2)=120cm^{2}[/tex]
Area of Smaller Rectangle = [tex](4)(10)=40cm^{2}[/tex]
Area of Larger Rectangle = [tex](6)(10)=60cm^{2}[/tex]
Step 3: Add the surface areas up
[tex]23.2cm^{2} +120cm^{2} +40cm^{2} +60^{2} =243.2cm^{2}[/tex]
Therefore the surface area of the Trapezoidal Prism is [tex]243.2cm^{2}[/tex]
