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Grades 11-12 Video Solutions 2013
Levels 11&12 Video Solutions 2013 problem9
Levels 11&12 Video Solutions 2013 problem9
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Video Transcription
Question number nine. In the cube to the right, you see a solid, a pyramid A, B, C, D, S that is not transparent with base A, B, C, D, and vertex S lying exactly in the middle of an edge of the cube. You look at the pyramid from above, from below, from behind, from in front, from the right and from the left. Which view do you not see? There are some easy views and some harder perspectives to look at, so let's do the easy ones first. Looking at this thing from the bottom, the pyramid is not transparent so we see nothing through it and that's perspective C with the following ordering A, B, C, and D like that. Now, looking at it from the top, we would have the vertex S over here and then vertices B, C, A, D as follows. So that's view D from the top. Now, from the right, so following this perspective, we have view B. And here, vertex B and C and S are visible. And finally, looking at it from the front along something like this, we have the first choice, view A with A, B, and S as the vertices and that exhausts our possibilities so we conclude that the answer here is E.
Video Summary
Question number nine. In the cube to the right, you see a solid, a pyramid A, B, C, D, S that is not transparent with base A, B, C, D, and vertex S lying exactly in the middle of an edge of the cube. You look at the pyramid from above, from below, from behind, from in front, from the right and from the left. Which view do you not see? There are some easy views and some harder perspectives to look at, so let's do the easy ones first. Looking at this thing from the bottom, the pyramid is not transparent so we see nothing through it and that's perspective C with the following ordering A, B, C, and D like that. Now, looking at it from the top, we would have the vertex S over here and then vertices B, C, A, D as follows. So that's view D from the top. Now, from the right, so following this perspective, we have view B. And here, vertex B and C and S are visible. And finally, looking at it from the front along something like this, we have the first choice, view A with A, B, and S as the vertices and that exhausts our possibilities so we conclude that the answer here is E.
Keywords
pyramid
cube
perspective
vertices
geometry
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