Answer:
15. The area of triangular prism is 96 ft².
16. The area of triangular prism is 1128.8 m².
Step-by-step explanation:
15.
The area of a prism is
[tex]A=2\text{Area of base}+\text{Area of first rectangle}+\text{Area of second rectangle}+\text{Area of third rectangle}[/tex]
The base of the prism is a triangle and the area is a triangle is
[tex]A=\frac{1}{2}\times base \times height[/tex]
The base of the triangle is 3 ft and the height of the triangle is 4.
The area of base of the triangular prism is
[tex]\text{Area of base}=\frac{1}{2}\times 3 \times 4=6[/tex]
The height of the prism is 7 ft.
The area of prism is
[tex]A=2(6)+7\times 3+7\times 4+7\times 5=96[/tex]
Therefore, the area of triangular prism is 96 ft².
16.
The base of the triangle is 10 m and the height of the triangle is 14 m.
The area of base of the triangular prism is
[tex]\text{Area of base}=\frac{1}{2}\times 10 \times 14=70[/tex]
The height of the prism is 24 m.
The area of prism is
[tex]A=2(70)+24\times 10+24\times 14+17.2\times 24=1128.8[/tex]
Therefore, the area of triangular prism is 1128.8 m².
