Question

hello this is what I'm working on with my homework. I would like to do a few practice questions with some tutoring thanks

Answer 1

$270\text{ ft}^2$

Explanation

Surface area is the sum of the areas of all faces, the surface area of a triangular prism is given by:

so, add the area is the sum of the areas of those figures

Surface are=sum of areas

$s.a.=(base*depth)+(d*depth)+2(\frac{base*widht}{2})+depth*width)$

Step 1

a)let

$\begin{gathered} base=12\text{ ft} \\ width=\text{ 5 ft} \\ depth=\text{7 ft} \\ d=13 \end{gathered}$

b) now, replace

$\begin{gathered} s.a.=(base*depth)+(d*depth)+2(\frac{base*widht}{2})+depth*width) \\ s.a.=(12*7)+(13*7)+(12*5)+(7*5)\text{ \lparen ft}^2) \\ s.a=84+91+60+35\text{\lparen ft}^2) \\ s.a=270\text{ \lparen ft}^2) \end{gathered}$

Therefore, the answer is

$270\text{ ft}^2$

I hope this helps you