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Mathematics 16 Online
OpenStudy (anonymous):

Which shape isn't for a cross section of a cube to take

OpenStudy (anonymous):

I mean which shape is notnpossible

OpenStudy (anonymous):

Like I know I can make a rectangle and a square

OpenStudy (anonymous):

are you provided a list of possible shapes, or are you just listing impossible ones ?

OpenStudy (anonymous):

No I have equilateral triangle Rectangle Square Octagon Rhombus Isosceles triangle

OpenStudy (anonymous):

ah. which one can you rule out already?

OpenStudy (anonymous):

I know that a square is possible and a rectangle is also possible

OpenStudy (anonymous):

an octagon requires 8 sides, so that one is not possible. what about a triangle? can you think of how you might generate one through a cross section ?

OpenStudy (anonymous):

Yes because two triangles make a square we did a slanted cross section we would get that

OpenStudy (anonymous):

you could get an equilateral triangle by cutting at the corner tip. if you slant the cut a little, you could also get a non-equilateral triangle, even an isosceles

OpenStudy (anonymous):

And we could also get a rhombus because it has 4 sides

OpenStudy (anonymous):

And the only thing we can't get is a octagon

OpenStudy (anonymous):

yes but the cut would have to be at two opposite vertices and at two opposite midpoints

OpenStudy (anonymous):

hm..

OpenStudy (anonymous):

looks like that is all. all of the above except octagon

OpenStudy (anonymous):

Thank u so much for taking it step by step :)

OpenStudy (anonymous):

no prob.

OpenStudy (anonymous):

:)

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