Answer: The area of the triangular prism is 120 millimeter square.
Explanation:
In the figure the net of the triangle contains two congruent triangles and three different rectangles.
Area of triangle is,
[tex]A=\frac{1}{2}\times (base)\times (height)[/tex]
Area of a triangle is,
[tex]A_1=A_5=\frac{1}{2}\times 12\times 5=30[/tex]
Area of a rectangle is.
[tex]A=l\times b[/tex]
The area of rectangles are,
[tex]A_2=2\times 13=26[/tex]
[tex]A_3=2\times 5=10[/tex]
[tex]A_4=2\times 12=24[/tex]
Total area of triangular prism is,
[tex]A=A_1+A_2+A_3+A_4+A_5[/tex]
[tex]A=30+26+10+24+30=120[/tex]
Therefore the area of the triangular prism is 120 millimeter square.
