Name ____________________ Time: ________ Date ___ / ___ / ___ Score ________ Polyhedron (Number Dojo Level 195) High School Worksheet Set E Instructions: Give yourself 5 minutes to complete as many problems as you can. Score this worksheet like a Number Sense test, giving yourself 5 points for every correct answer, less 4 points for every skipped or incorrect answer. High score is a 200. 1) 2) 3) 4) 5) 6) 7) 8) 9) 10) 11) 12) 13) 14) 15) 16) 17) 18) 19) 20) A tetrahedron has _______ faces An icosahedron has ___ vertices A cube has __________ edges A dodecahedron has _____ faces A hexahedron has _____ vertices An octahedron has ______ edges An icosahedron has ______ faces A dodecahedron has ______ vertices A hexahedron has _______ faces A tetrahedron has ______ edges A cube has __________vertices An octahedron has ______ faces A dodecahedron has ____ edges A hexahedron has ______ edges A tetrahedron has _____ vertices An octahedron has ____ vertices An icosahedron has _____ edges A cube has __________ faces One face of a tetrahedron has ____ sides Each face of a dodecahedron has __ sides 21) 22) 23) 24) 25) 26) 27) 28) 29) 30) 31) 32) 33) 34) 35) 36) 37) 38) 39) 40) ____ sides One face of an icosahedron has ___ sides One face of a hexahedron has ____ sides How many different face shapes form the Platonic solids? ___ How many triangles meet at each vertex of an icosahedron? __ There are ______ Platonic solids For any Platonic solid, V – E + F = ___ How many different Platonic solids have 12 edges? ___ How many squares meet at each vertex of a hexahedron? ___ For a cube, V + E + F = ________ A Platonic solid with 6 edges has ___ faces How many triangles meet at each vertex of an octahedron? __ For an icosahedron, V + E + F = ____ How many different Platonic solids have 30 edges? ___ How many pentagons meet at each vertex of a dodecahedron? _ For a dodecahedron, V + E + F = ____ How many triangles meet at each vertex of a tetrahedron? __ For a tetrahedron, V + E + F = _____ A Platonic solid with 20 vertices has ___ edges For an octahedron, V + E + F = _____ Each face of an octahedron has - - - - - - - - - - - - - - - Fold the bottom portion under - - - - - - - - - - - - - - Answer Key 1) 2) 3) 4) 5) 6) 7) 8) 4 12 12 12 8 12 20 20 9) 10) 11) 12) 13) 14) 15) 16) 6 6 8 8 30 12 4 6 17) 18) 19) 20) 21) 22) 23) 24) 30 6 3 5 3 3 4 3 25) 26) 27) 28) 29) 30) 31) 32) 5 5 2 2 3 26 4 4 © 2016 by Number Dojo, www.NumberDojo.com 33) 34) 35) 36) 37) 38) 39) 40) 62 2 3 62 3 14 30 26
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