Given:
Each side the triangle = 8 cm
The height of the triangle = 3 cm
The height of the prism = 12 cm
To find the surface area of the triangular prism.
Formula:
The surface area the triangular prism:
[tex]SA = bh+(s_{1} +s_{2}+s_{3})H[/tex]
where, b be the base of the triangle
h be the height of the triangle
[tex]s_{1} ,s_{2} ,s_{3}[/tex] be the sides of the triangle.
H be the height of the prism.
Now,
Putting, b=8, h=3, H = 12, [tex]s_{1}=8, s_{2}=8 and s_{3}=8[/tex] we get,
[tex]SA = (8)(3)+(8+8+8)(12)[/tex] sq cm
or, [tex]SA =[/tex] 24+288 sq cm
or, [tex]SA[/tex] = 312 sq cm
Hence,
The surface area of the given triangular prism is 312 sq cm.
