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malfutka [58]
3 years ago
7

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 th

e prism, ba is the area of bases, and la is the lateral area?
Mathematics
1 answer:
svp [43]3 years ago
6 0
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]

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