33.8k views
4 votes
Find the surface area of the isosceles trapezoid prism , Do not round answer

Find the surface area of the isosceles trapezoid prism , Do not round answer-example-1
User Nakedible
by
2.5k points

1 Answer

6 votes

From the question;

The Area formula for a trapezoid is;


\begin{gathered} B=(1)/(2)h(b_1+b_2) \\ Where\text{ B=Area} \\ h=\text{height of the trapezoid} \\ b_1,b_2=bases_{} \end{gathered}
\begin{gathered} B=(1)/(2)(3)(4+8) \\ B=18\operatorname{cm} \end{gathered}

So, we have the surface area as;


\begin{gathered} SA=ph+2B \\ \text{Where SA= surface area} \\ p=\text{perimeter of the trapezoid} \\ h=\text{height of the prism} \end{gathered}

But the perimeter p of the trapezoid is;


\begin{gathered} p=3.7\operatorname{cm}+4\operatorname{cm}+8\operatorname{cm}+3.7\operatorname{cm} \\ p=19.4\operatorname{cm} \end{gathered}

Thus, we have;


\begin{gathered} SA=19.4(9)+2(18) \\ SA=174.6+36 \\ SA=210.6\operatorname{cm} \end{gathered}

User Agudian
by
3.6k points