Question

Find the total surface area of the

Answer 1

Answer:

Total surface area = 340 cm²

Step-by-step explanation:

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

Area of pentagonal base = $\frac{1}{2}(\text{Apothem)}(\text{Perimeter})$

                                          = $\frac{1}{2}(3.6)(5\times 5)$

                                          = 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