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Mathematics 8 Online
OpenStudy (anonymous):

I need help finding the volume of this pentagonal pyramid !!!

OpenStudy (amistre64):

whatcha stuck on?

OpenStudy (anonymous):

First of all , is there anyway I can draw a picture on here to make it easier?

OpenStudy (amistre64):

lol ... not that I have found

OpenStudy (amistre64):

there is an attach file button here, but it is nnew. might allow you to post a pic tho

OpenStudy (anonymous):

ehh, nahh. i'll just attempt to explain. okay so each side of the base has a length of 16 cm. Then the base has a annulus of 11. And it looks like the height is 36 cm

OpenStudy (amistre64):

annulus; thats a term I aint familiar with.. can you explain it?

OpenStudy (anonymous):

a washer shape

OpenStudy (anonymous):

it's the length from the center of the shape to the middle of the edge of the side

OpenStudy (anonymous):

circular disk with a hole missing from the center

OpenStudy (anonymous):

maybe i'm not using the right term

OpenStudy (amistre64):

ahhh; it looks like we could find the rea of on section of it by using the base and the height and the side length to help us

OpenStudy (amistre64):

my keyboard hates me....

OpenStudy (anonymous):

lol

OpenStudy (anonymous):

so how do we do it

OpenStudy (amistre64):

what methods do we know? is this calculus or something else?

OpenStudy (anonymous):

geometry. . . lol

OpenStudy (amistre64):

so we have a right triangle that forms the base and height, we have a width of ....whatever a side was all the way to 0 at the tip....

OpenStudy (anonymous):

okay. here, can u wait a minute im gonna try to draw a picture of it and attach the file

OpenStudy (amistre64):

http://www.mathsisfun.com/geometry/pentagonal-pyramid.html gives us the volume as: 1/3 [base area] times height

OpenStudy (anonymous):

yes i know that.

OpenStudy (amistre64):

And area of pent is: (length of 1 side)^2 x 1.7

OpenStudy (anonymous):

what is a pent

OpenStudy (amistre64):

Area = 16^2(1.7)(36)/3 is what it looks to be. pentagon

OpenStudy (anonymous):

oh. ha. okay. so you took 16 to the second power , but where did u get 1.7?

OpenStudy (anonymous):

OpenStudy (amistre64):

1.7 is what someone smarter than me got when they figured out the formula for the area of a pentagon :) s^2(1.7) = area of pentagon

OpenStudy (anonymous):

the teacher gave us the answers because this a review for a test on monday. and she said the answer should be 5260. i just wanna see how she got there so i can do it on the test

OpenStudy (anonymous):

okay... i think. lol

OpenStudy (anonymous):

i meant 5280cm3. my bad

OpenStudy (amistre64):

I get 5222.4 but is close enough to account for rounding and such

OpenStudy (amistre64):

when we chop of decimals; we skew the answers... so it all depends on how it was calculated..

OpenStudy (anonymous):

yeah. okay and explain to me where you got 36 please

OpenStudy (amistre64):

you said the height was 36. (1/3) (base area) (height) base area = (side^2)(1.7)

OpenStudy (anonymous):

ohhh wow. duhh. sorry. brain fart lol

OpenStudy (amistre64):

:)

OpenStudy (amistre64):

do you remember that you asked about the volume of a pentagonal pyramid :) time passed and we got to here :)

OpenStudy (anonymous):

ha , yes. okay that works.

OpenStudy (anonymous):

do you have time for some more questions?

OpenStudy (amistre64):

fraid not, library closes in 10 minutes and my internet goes with it... but have a great day :)

OpenStudy (anonymous):

okay thank you! you too!

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