anonymous
  • anonymous
im kinda stuck can someone please help me? Which solid figure has nine edges? rectangular pyramid octagonal pyramid rectangular prism triangular prism
Mathematics
katieb
  • katieb
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mathstudent55
  • mathstudent55
|dw:1437542778360:dw|
anonymous
  • anonymous
Triangular Prism.
mathstudent55
  • mathstudent55
We can use Euler's formula F + V - E = 2 Rectangular pyramid: 5 faces, 5 vertices, 8 edges 5 + 5 - 8 = 2 Octagonal pyramid 9 + 9 - 16 = 2 |dw:1437543052236:dw|

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mathstudent55
  • mathstudent55
Rectangular prism 6 + 8 - 12 = 2 |dw:1437543190313:dw|
mathstudent55
  • mathstudent55
Triangular prism 5 + 6 - 9 = 2
mathstudent55
  • mathstudent55
|dw:1437543338878:dw|
mathstudent55
  • mathstudent55
Here is a summary of what we have. We notice that all numbers work in Euler's formula, so that is a good indication the numbers of faces, vertices and edges are correct. Notice the only one that has a 9 in the E (number of edges) column F + V - E = 2 Rectangular pyramid 5 + 5 - 8 = 2 Octagonal pyramid 9 + 9 - 16 = 2 Rectangular prism 6 + 8 - 12 = 2 Triangular prism 5 + 6 - 9 = 2

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