Question

which expression can be used to find the surface area of the triangular prism? (2(1/234)) + 42 + 32 + 52. what is the surface area of the triangular prism? s.a. = __ ft².

Explanation:

Step1: Calculate area of triangular bases

The area of a triangle is $A=\frac{1}{2}bh$. Here, $b = 3$ ft and $h=4$ ft. The two - triangular bases have a combined area of $2\times\frac{1}{2}\times3\times4= 12$ square feet.

Step2: Calculate area of rectangular faces

There are three rectangular faces. One with dimensions $2\times4$ (area $A_1 = 2\times4=8$ square feet), one with dimensions $2\times3$ (area $A_2=2\times3 = 6$ square feet) and one with dimensions $2\times5$ (area $A_3=2\times5 = 10$ square feet). The combined area of the rectangular faces is $8 + 6+10=24$ square feet.

Step3: Calculate total surface area

The surface area of the triangular prism is the sum of the area of the bases and the area of the rectangular faces. So, $SA=12 + 24=36$ square feet.

Answer:

36