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Not understanding what the question is asking. Volume of solid

  1. Jun 3, 2013 #1
    1. The problem statement, all variables and given/known data
    Referring to the parallelepiped in Question 3 in which vertices E,F,G,H are respectively the diametrically opposite corners to A,B,C,D . Find the volume, in cubic units of the solid with seven plane faces BGD,BCD,GFD,BHG,GHEF,EFGC,BHEC



    2. Relevant equations



    3. The attempt at a solution

    I'm not really understanding what it is asking me. I understand finding volumes. Is this telling me to find the volume with each plane face? For instance, BGD. I could make an origin out of F which is diagonal to B and maybe do the volume of a tetrahedron.
    I guess I don't understand what it is asking me.
     
  2. jcsd
  3. Jun 3, 2013 #2

    mfb

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    I think there is some sketch missing.
    Is that the exact problem statement? It looks weird. If not, please write it down exactly as it was given.
     
  4. Jun 3, 2013 #3
    Yeah that was exact I copied and pasted. I will try and draw it when I get back home in a bit. I did draw it but on word I mean. Yeah it is confusing me.
     
  5. Jun 3, 2013 #4
    OK this is what I have drawn and how I labeled it please ignore the lack of artistic flair. It serves it's purpose though. So I was using this and thinking what the heck is this question asking me?
     

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  6. Jun 3, 2013 #5
    mfb, does it make anymore sense?
     
  7. Jun 3, 2013 #6

    mfb

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    I don't know how to interpret the question.
    You can find the volume as function of the vectors of 3 edges.
     
  8. Jun 3, 2013 #7
    Yeah, I don't either. That is the exact question though I literally copied and pasted.
     
  9. Jun 4, 2013 #8

    haruspex

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    I think there's a typo. The last but one face should be EFDC, not EFGC. It's the whole figure less the pyramid ABDG. (Which is a big hint towards the answer.)
     
  10. Jun 4, 2013 #9
    So, Am I supposed to find the volume with of each thing? Like BHE and EFDC separate? What is meant by the volume of the solid?? thx
     
  11. Jun 4, 2013 #10
    wait wait wait
     
  12. Jun 4, 2013 #11
    OK, so I think I got it maybe not.
    I found the volume of the parallelepiped to be 16 cubic units from a previous question. So the shape that is formed from ABDG is a tetrahedron which is 1/6 that of a parallelpiped. So 16- (1/6)16 = 40/3 cubic units.

    I hope this is correct
    Thanks
     
  13. Jun 4, 2013 #12

    haruspex

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    Looks right.
     
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