Question

Find the volume of a regular pentagonal prism with a 7in apothem, 12 inch side length and a 30in length, im really stuck on this so help would be awesome!<3

Answer 1

here's a pic if it helps:)

Answer 2

Volume of Prism = (5/2)ash = Ah

where,
a = apothem length, s = side, h = height, A=area

Answer 3

oky so (5/2)ash should equal the area multiplied by the height?

Answer 4

yup\[{5\over2}\times (apothem) \times side \times height = Area \times Height \]

Answer 5

with side do you mean side length or the number of sides?

Answer 6

annd would height be the diameter?

Answer 7

7in apothem
30in length (if yu turn the prim up-side the length turns into height, right?)
12 inch side length = side

Answer 8

oh okay so the length would be the height. annd why is it 5/2 at the beginning is that some sort of equation?

Answer 9

hmm.. it's from deriving the equation... it's just like the area for a triagle = (1/2)bh

Answer 10

oh is there an equation for a pentagonal prism?

Answer 11

oh and in the equation you said it will = area* height, did you mean the area of the pentagon?

Answer 12

OH! never mind i just didnt read ur answer right I get how you got 5/2 xD and this makes perfect sense now so thanks so much you're really smart!!

Answer 13

haha thank's (:

Answer 14

hey could you help me on a problem? i have it posted but i cant seem to get any responses. thanks<33

Answer 15

sorry i was eating, i'll look for yur post and try to help

Answer 16

Thanks so much C: and its the one with a triangular prism on top and a rectangular prism on bottom.

Answer 17

you should re-post the question, i can't find it hehe

Answer 18

haha okay I will thanks so much again:)

Answer 19

did you find it? :)