Question

Find the surface area of this triangular prism the height of the triangular prism meets the base at a 90° angle

Answer 1

The given prism has two triangular surface and 3 rectangular prism.

The are of the triangular surface can be determined as,

`\begin{gathered} \Delta=(1)/(2)*14\text{ in}*24\text{ in} \\ =168in^2 \end{gathered}`

The area of the base can be determined as,

`\begin{gathered} A_b=14\text{ in}*32\text{ in} \\ A_b=448in^2. \end{gathered}`

The area of the side rectangles can be determined as,

`\begin{gathered} A_s=32\text{ in}*25\text{ in} \\ =800in^2 \end{gathered}`

The total surface area can be determined as,

`\begin{gathered} A=2*\Delta+2* A_s+A_b \\ =2*168in^2+2*800in^2+448in^2 \\ =2384in^2. \end{gathered}`

Thus, option (C) is the correct solution.