Respuesta :

2 x Area of the triangular ends.
= 2 x ( 1/2 bh)
= 2 x (1/2 x 6.8 x 5.1)

2 x Area of rectangular sides
= 2 x lw
2 x (6.1 x 13)

Area of bottom
= lw
= 6.8 x 13

Now add all three results together for the surface area.

The surface area of triangular prism is 281.68 square cm

What is the triangular prism?

Triangular Prism is a pentahedron and has nine distinct nets. The edges and vertices of the bases are joined with each other via three rectangular sides. The sides of the triangular prism, which are rectangular in shape are joint with each other side by side. All cross-sections parallel to the base faces are the same as a triangle. A triangular pyramid has four triangular bases unlike the triangular prism, joined with each other and all are congruent to each other.

We have,

The length of triangular prism(l)=13 cm

The height of triangular prism(h)= 5.1 cm

The base of triangular prism(b)= 6.8 cm

S1, S2, and S3 are the three edges (sides) of the base triangle=6.1 cm,6.8 cm and 6.1 cm

Perimeter of base(p)=S1+S2+S3

                             =6.1cm+6.8cm+6.1cm

                            =19cm

According to question,

We know the formula of The surface area of prism=(perimeter of base× length of prism)+(2×base area of prism)

                                          =(P ×l)+(2×[tex]\frac{1}{2}[/tex]×b ×h)

                                          =(19×13)+(6.8×5.1)

                                           = 247+34.68

                                           =281.68 square cm

To learn more about surface area of prism here

https://brainly.in/question/7707474

#SPJ2

Otras preguntas