Question

Find the surface area of the triangular prism below.​

Answer 1

Surface area of the triangular prism = 186.984 feet²

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 =
`(1)/(2)(\text{Base})(\text{Height})`

=
`(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