find the lateral surface area of the prism. geometry hw

Answer:
250
Step-by-step explanation:
Hello There!
The prism shown is a pentagonal prism
And we need to find the lateral surface area ( pretty much area of everything except for the bases.)
We can calculate the lateral surface area by using this formula
[tex]la=5ah[/tex]
where a (on the right hand side) equals the base edge length and h = height
(btw the 5 represents the number of sides)
so the base edge length of the shown figure is 5 and the height is 10
having found this information we plug it into the formula
[tex]la=5*5*10\\10*5=50\\50*5=250[/tex]
so we can conclude that the lateral surface area of the shown pentagonal prism is 250 cm²