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Mathematics 18 Online
OpenStudy (anonymous):

Can anyone please help me with my geometry worksheet??

OpenStudy (anonymous):

OpenStudy (anonymous):

@amistre64 can you help when you get a chance?

OpenStudy (amistre64):

a set of claws ...

OpenStudy (amistre64):

euclids formula ... V+F = E+2 should help

OpenStudy (amistre64):

or is that Eulers formula? i get those dead guys names mixed up

OpenStudy (amistre64):

define a vertex, an edge, and a face for me ... lets make sure your up to speed on the terminology

OpenStudy (anonymous):

yeah the one i need is eulers formula

OpenStudy (anonymous):

I think it's Euler's formula.

OpenStudy (anonymous):

and okay

OpenStudy (anonymous):

vertex is the highest point. an edge is a line segment(?) that joins two vertices and a face is the flat surface??

OpenStudy (amistre64):

Euler is pronounced: oiler, but i tend to say you-ler

OpenStudy (amistre64):

vertex is a point, doesnt need to be the highest point .. and the rest look fine as well

OpenStudy (amistre64):

so the formula we want to use is simply: #vertex + #faces = #edges + 2

OpenStudy (amistre64):

and i think problems 1and 2 are jsut counting stuff

OpenStudy (anonymous):

so for #1 would it be 6 vertices 6 edges and 6 faces??

OpenStudy (anonymous):

idk if i count the flat bottom part or not

OpenStudy (amistre64):

the bottom counts since its part of the shape

OpenStudy (amistre64):

6 verts and 6 faces is good, but i see 6 edges going up and 5 edges round the bottom for a total edge count of 6+5

OpenStudy (amistre64):

lol, fine, 5 up and 5 around ..

OpenStudy (anonymous):

yeah i just recounted and i see 10 too now

OpenStudy (anonymous):

for number 2 would it be 8 vertices, 5 faces, and 12 edges?

OpenStudy (amistre64):

so, if we want to test the forumla: 6vert + 6face = 10edge + 2 12 = 12 is great

OpenStudy (amistre64):

#2 is a cube thats been sat on .... 6 faces, 8 verts, and 12 edges

OpenStudy (anonymous):

oh yeah oops wow i keep messing up COUNTING jeez

OpenStudy (amistre64):

2D drawing of 3D objects are always a pain to try to abstract them out in your mind

OpenStudy (anonymous):

yeah it mixes me up a lot haha. okay now what was the formula for the second part again?

OpenStudy (amistre64):

V+F = E+2 which can be switched about to say: F -E +V = 2, to match how they wrote their information

OpenStudy (anonymous):

okayy h.o

OpenStudy (anonymous):

the first one is 6?

OpenStudy (amistre64):

yep

OpenStudy (amistre64):

one idea may be to just right +2 by all the edges and make V+F = E+2 but those are just methods to organiize data .... whatevers easiest for you

OpenStudy (anonymous):

number 4 is 21. number 5 is 26. number 6 is 10 and number 7 is 12. right? @amistre64

OpenStudy (amistre64):

10+V = 18+2 10+V = 20, im going to say no for number 5 7 seems fine, 6 is iffy to me as well

OpenStudy (amistre64):

16+E = 24+2 16+E = 26 .... im liking 6 better lol

OpenStudy (anonymous):

so 5 is 10. and 6 is right?

OpenStudy (anonymous):

@amistre64

OpenStudy (amistre64):

5 is 10, and 6 is 10 so yeah :)

OpenStudy (anonymous):

okayyy now how do i do the last 2... cause it doesnt give me any numbers

OpenStudy (amistre64):

you need to flatten out the objects ... make maps

OpenStudy (amistre64):

not too sure how to approach the solution they want tho. pretty sure its just counting again

OpenStudy (anonymous):

this is hard LOL :(

OpenStudy (amistre64):

9 is just another odd cube .... |dw:1398531618343:dw| now we can see all the faces, edges, and corners in 2D instead of trying to abstract them into 3D

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