Question

Find the surface area of the triangular prism below.​

Answer 1

Answer:

Surface area of the triangular prism = 186.984 feet²

Step-by-step explanation:

Surface area of the triangular prism is given by the expression,

Surface area = (Perimeter of the triangular base)×Height + Area of the triangular bases

Perimeter of the triangular base = (9.8 + 8.5 + 6.2)

                                                      = 24.5 ft

Height of the prism = 5.5 ft

Area of the triangular base = $\frac{1}{2}(\text{Base})(\text{Height})$

                                             = $\frac{1}{2}(9.8)(5.33)$

                                             = 26.117 square feet

Surface area of the prism = (24.5 × 5.5) + (26.117 × 2)

                                           = 134.75 + 52.234

                                           = 186.984 square feet