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SHAPE AND SPACE
3 Dimensional Shapes Check up and Challenge
EXPLODING OUR UNDERSTANDING OF POLYHEDRONS
(“pssst...what’s a polyhedron again?”
“It’s a solid with flat faces and each face is a polygon -meaning no curved sides!”
“Oh yeah, thanks” :)
Name: ____________
Date: _____________
Skills Used: observation, analysis, critical thinking, synthesis (putting it together), measuring cm/mm and
angles accurately, addition and multiplication, spatial thinking, fine motor skills
Task: First you will choose two shapes to work with. Next you will draw these two shapes as accurately as
possible in 3D. Then you will define all their properties. Last you will describe the shapes in as much detail
as possible
Octahedron
Dodecahedron
Cross-section
Irregular Pentagonal Prism
Cross-section
Tetrahedron
Triangular Prism
1) Draw the shape as best as possible in 3D
A)
B)
2) Use a ruler and a protractor to measure
Vertices: ____________
Vertices: ____________
Edges: ___________
Edges: ___________
Faces: ___________
Faces: ___________
Total number of angles: ____________
Total number of angles: ____________
Degree of 1st angle ____________
Degree of 1st angle ____________
Degree of 2nd angle: ____________
Degree of 2nd angle: ____________
Degree of 3rd angle: ____________
Degree of 3rd angle: ____________
Length of 1st edge: ____________
Length of 1st edge: ____________
Length of 2ndedge (if different): ___________
Length of 2ndedge (if different): ___________
Length of 3rdedge (if different): ___________
Length of 3rdedge (if different): ___________
Total length of the perimeter (edges) of the
shape:
Total length of the perimeter (edges) of the
shape:
____________
____________
Write a full description as detailed as possible
about the shape (impress us with your critical
analysis skills!!!!)
Write a full description as detailed as possible
about the shape (impress us with your critical
analysis skills!!!!)
This is your problem solving area where you do your equations and work through your thinking