Answer: 832 cm².
Step-by-step explanation:
1. To calculate the lateral area of the prism by using the net you must:
- Calculate the perimeter of the base:
[tex]P=2l+2w[/tex]
Where l is the lenght and w is the width:
[tex]l=17cm\\w=15cm[/tex]
Then:
[tex]P=2(17cm)+2(15cm)=64cm[/tex]
- Now you must multiply the perimeter by the height. The height is 13 cm.
Then, the lateral surface area is:
[tex]LA=64cm*13cm=832cm^{2}[/tex]