10.1 Exploring Solids

10.1 Exploring Solids

By Amber Shively

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Multiple Choice

Which of the following is NOT a polyhedron?

​All faces are the same shape

All sides/edges are the same length

All angles are the same size

Multiple Choice

Is the polyhedraon convex or concave? Regular or not regular?

• concave

  not regular

• concave

  regular

• convex

  not regular

• convex

  regular

Multiple Choice

Is the polyhedraon convex or concave? Regular or not regular?

• concave

  not regular

• concave

  regular

• convex

  not regular

• convex

  regular

Multiple Choice

Is the polyhedraon convex or concave? Regular or not regular?

• concave

  not regular

• concave

  regular

• convex

  not regular

• convex

  regular

Nothing to write on your notes here... just check to see how well you did on yesterday's chart...

Nothing to write on your notes here... just check to see how well you did on yesterday's chart...

back to notes...

Multiple Choice

Use Euler's Theorem to find the number of faces on a polyhedron with 12 vertices and 30 edges

• 42

• 40

• 20

• 18

Multiple Choice

Use Euler's Theorem to find the number of faces on a polyhedron with 5 faces and 9 edges

• 6

• 4

• 12

• 14

keep clicking ahead to see the answer worked out...​

brief time out... each face/shape has sides.. but look at this polyhedron.... ​TWO sides come together (one from each shape) to make ONE edge. On this example... see how the top side of the rectangle (green) and the bottom side of the triangle (red) together form one edge??

DIVIDE the total number of sides by 2 to get the total number of edges!!

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Multiple Choice

A solid has 14 faces, 8 are triangles and 6 are octagons. How many vertices does the solid have?

• 36

• 24

• 22

• 48

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​Notice the cross section changes depending on which way the plane slices through the solid.

Multiple Choice

Identify the cross section formed by the place slicing through this cone.

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Multiple Choice

Identify the solid of revolution generated by revolving the region around the fixed line 𝓁.

Assignment....

​Complete the google form posted on classroom and do

IXL ​Geometry T.3, T.4, and T.5 (all are VERY quick..... nets, cross sections, and solids of revolution). Get each one to 80%