Question

Which formulas can be used to find the surface area of a right prism where p is the perimeter of the base, h is the height of the prism, ba is the area of bases, and la is the lateral area?

Answer 1

SA = BA + ph

SA = BA + LA

Explanation:

Answer 2

let
ba--------> area of bases (the two bases included)
p---------> perimeter of the base
h--------> height of the prism
la-------> lateral area

we know that

[surface area]=2*[area of one base]+[perimeter of the base]*height
so
2*[area of one base]=ba
[surface area]=[ba]+[p]*h

and
the formula of lateral area is
[la]=[perimeter of the base]*height
[la]=[p]*h
therefore
[surface area]=[ba]+[la]

the answer is
[surface area]=[ba]+[p]*h
[surface area]=[ba]+[la]