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

Question

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

anonymous · Answer

attachment

anonymous · Answer

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

anonymous · Answer

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

dumbcow · Answer

25,225.2 cubic feet

anonymous · Answer

Okay so I did 40*22*18=15,840 and then 40*22*18
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anonymous · Answer

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

anonymous · Answer

what is the height of the pyramid ?

dumbcow · Answer

its not a pyramid...its a triangular prism

anonymous · Answer

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

anonymous · Answer

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

dumbcow · Answer

it's not the same thing

anonymous · Answer

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

anonymous · Answer

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

anonymous · Answer

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

dumbcow · Answer

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

anonymous · Answer

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

dumbcow · Answer

very good question
use pythagorean theorem

anonymous · Answer

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 · Answer

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 · Answer

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 · Answer

hi math mind can u help me after her

anonymous · Answer

yup, i'll try suger.

anonymous · Answer

okay so what did I do wrong?

toxicsugar22 · Answer

thank you for the medal awsomness

anonymous · Answer

haha no prob i give everyone a medal xD

anonymous · Answer

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 · Answer

Thanks so much I saw what I did wrong!