Volume of the attached figure? help would be amazing!!<3

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- anonymous

Volume of the attached figure? help would be amazing!!<3

- schrodinger

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- anonymous

##### 1 Attachment

- anonymous

\[Vrec = (length)\times(width)\times(height)\]\[Vsquaqre pyram = {((lenght)^{2} \times height) \over 3} \]
Vtotal = Vrec + Vsquarepyram

- anonymous

ops, typo, not a square base, rectangular base:
instead of (lenght)^2 should be (length)*(width)

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## More answers

- dumbcow

25,225.2 cubic feet

- anonymous

Okay so I did 40*22*18=15,840 and then 40*22*18
----------

- anonymous

___________ and I got 21,120 did i do something wrong? how did you come up with
3 that answer?

- anonymous

what is the height of the pyramid ?

- dumbcow

its not a pyramid...its a triangular prism

- anonymous

yeah its a triangular prism and i don't know the height because its not listed

- anonymous

triangula prim.. pyramid ... same thing lol .. jk..

- dumbcow

it's not the same thing

- anonymous

annd back to the problem how did you get your answer?

- anonymous

i know it's not.. i'm jk.. it's also another formula, sorry.

- anonymous

½ * a * b * h = Ah
(area of the triangle)*(lenght of the prim / height of the prim)

- dumbcow

no problem, its the same idea however the formulas are different

- anonymous

how do I find the area of the triangle if I don't have the height?

- dumbcow

very good question
use pythagorean theorem

- anonymous

to find the volume of the triangular prism, you need the area of the triangle. In order to find the area of the triangle we need the height. We can find it by:
|\
x | \ 24
| \
|___\
(22/2) = 11
so 24^2 = x^2 + 11^2
x=21.3307

- anonymous

now that we found the height of the triangle we can find the volume of the triangular prims and add to the volume of the rect. prism. to get the total volume

- anonymous

oh okay I just forgot that we had the base. So i did 21.3307*22 all over 2 and I got 234.6377. then I did (234.6377)*(40)*(18)=169,939....is that wrong?

- toxicsugar22

hi math mind can u help me after her

- anonymous

yup, i'll try suger.

- anonymous

okay so what did I do wrong?

- toxicsugar22

thank you for the medal awsomness

- anonymous

haha no prob i give everyone a medal xD

- anonymous

alright so,
Volume of Trian. prism = (.5)(22)(21.3307)(40) = 9385.51
Volume of Rect. prism = 22*18*40 = 15840
Total Volume = 9385.51 + 15840 = 25225.5

- anonymous

Thanks so much I saw what I did wrong!

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