# Not understanding what the question is asking. Volume of solid

1. Jun 3, 2013

### Jbreezy

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. Jun 3, 2013

### Staff: Mentor

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.

3. Jun 3, 2013

### Jbreezy

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.

4. Jun 3, 2013

### Jbreezy

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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5. Jun 3, 2013

### Jbreezy

mfb, does it make anymore sense?

6. Jun 3, 2013

### Staff: Mentor

I don't know how to interpret the question.
You can find the volume as function of the vectors of 3 edges.

7. Jun 3, 2013

### Jbreezy

Yeah, I don't either. That is the exact question though I literally copied and pasted.

8. Jun 4, 2013

### haruspex

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.)

9. Jun 4, 2013

### Jbreezy

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

10. Jun 4, 2013

### Jbreezy

wait wait wait

11. Jun 4, 2013

### Jbreezy

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

12. Jun 4, 2013

Looks right.