Question

Trying to find the surface area of these triangular prisms

Answer 1

15. The area of triangular prism is 96 ft².

16. The area of triangular prism is 1128.8 m².

Explanation:

15.

The area of a prism is

`A=2\text{Area of base}+\text{Area of first rectangle}+\text{Area of second rectangle}+\text{Area of third rectangle}`

The base of the prism is a triangle and the area is a triangle is

`A=(1)/(2)* base * height`

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

`\text{Area of base}=(1)/(2)* 3 * 4=6`

The height of the prism is 7 ft.

The area of prism is

`A=2(6)+7* 3+7* 4+7* 5=96`

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

`\text{Area of base}=(1)/(2)* 10 * 14=70`

The height of the prism is 24 m.

The area of prism is

`A=2(70)+24* 10+24* 14+17.2* 24=1128.8`

Therefore, the area of triangular prism is 1128.8 m².