Question

Find the total area (in terms of K) of the prism. Place "K" last in your formula.
T.A. =

Answer 1

would you be able to help me with this one?

Answer 2

@surjithayer

Answer 3

hmm,, P = 20" meaning the Perimeter of the pentagonal face alone is 20
k = apothem

Answer 4

so if all 5 equal sides of the regular pentagonal face are 20 total, that is the perimeter
how much is 1 side only?

Answer 5

4

Answer 6

so, notice the figure, you have for lateral sides, 5 rectangles, 4x6 each

Answer 7

24 is the lateral surface but I am not sure how to calculate the "2B" part of the formula

Answer 8

and then you add to that sum of those 5 rectangles area, the area of the pentagon above and below, area of a regular polygon = \(\bf \cfrac{1}{2} (apothem)(perimeter)\)

Answer 9

120 would actually be the lateral area

Answer 10

yes, to get the total area add the pentagonal faces

Answer 11

\(\bf\cfrac{1}{2} (apothem)(perimeter) \implies \cfrac{1}{2} (k)(20)
\implies \cfrac{20k}{2} \implies 10k\)

Answer 12

side=20/5=4
area of the rectangles=5*(20*6)=600
total area= 600+10k+10k=600+20k

Answer 13

thank you!