Answer: 832 cm².
Explanation:
1. To calculate the lateral area of the prism by using the net you must:
- Calculate the perimeter of the base:
![P=2l+2w](https://img.qammunity.org/2020/formulas/mathematics/middle-school/jrrjtqbrnnug86tbamhopeqdpqvldk6qkq.png)
Where l is the lenght and w is the width:
![l=17cm\\w=15cm](https://img.qammunity.org/2020/formulas/mathematics/middle-school/63fcvgvw3ve8mjqb9idf0jo50q9zehablc.png)
Then:
![P=2(17cm)+2(15cm)=64cm](https://img.qammunity.org/2020/formulas/mathematics/middle-school/a4270lbfkjlrag3u7m5ouow3q5mv93katu.png)
- Now you must multiply the perimeter by the height. The height is 13 cm.
Then, the lateral surface area is:
![LA=64cm*13cm=832cm^(2)](https://img.qammunity.org/2020/formulas/mathematics/middle-school/9ckha1h7q4tb7l2cu6y1blhhu90c3yem2f.png)