Answer:
[tex]211.75m^2[/tex]
Step-by-step explanation:
Volume of triangular prism= Area of base Triangle x Height
Base Triangle dimensions:[tex]10m\times11m\times9m[/tex]
Base Triangle height,[tex]h_b[/tex]=[tex]7.7m[/tex]
Area Base Triangle,[tex]A_b=\frac{h_bb}{2}[/tex]
[tex]A_b=0.5\times11m\times7.7m\\=42.35m^2[/tex]
Prism height,[tex]h_p=5m[/tex]
Therefore area,[tex]A_p[/tex] of prism is obtained as:
[tex]A_p=A_b\times h_p\\=42.35m^2\times 5m\\=211.75m^2[/tex]
Area of the prism is [tex]211.75m^2[/tex]
