The surface area of the pentagonal prism is 648 square inches.
Step-by-step explanation:
Step 1:
The surface area of a shape is the sum of all the areas of all the external surfaces.
The pentagonal prism has a total of 7 sides i.e. 2 pentagonal sides and 5 rectangular sides.
The total surface area of the prism is the sum of the individual areas of the 7 sides.
Step 2:
The area of the 2 pentagonal sides [tex]= 2(124) = 248[/tex] square inches.
The area of each rectangular side is 80 square inches. So
The area of 5 rectangular sides [tex]= 5(80) = 400[/tex] square inches.
The total surface area of the prism [tex]=248+400 = 648[/tex] square inches.
The surface area of the pentagonal prism is 648 square inches.
