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?
Question
Answer:
letba--------> 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]
solved
general
11 months ago
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