Question

Find the total surface area of the

following prism:
5 cm
5 cm
5 cm
5 cm
10 cm
5 cm
apothem = 3.6 cm
SA = [ ? ] cm2

Answer 1

Total surface area = 340 cm²

Explanation:

Surface area of the given prism = Area of two bases + Area of its lateral surfaces

Area of pentagonal base =
`(1)/(2)(\text{Apothem)}(\text{Perimeter})`

=
`(1)/(2)(3.6)(5* 5)`

= 45 cm²

Area of the lateral sides of the prism = Perimeter of the pentagonal base × height

= (5×5)×10

= 250 cm²

Total surface area of the prism = 2(45) + 250

= 90 + 250

= 340 cm²