Respuesta :

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]