Let ba--------> area of bases (<span>the two bases included</span>) 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]