Name ____________________ Time: ________
Date ___ / ___ / ___ Score ________
Polyhedron (Number Dojo Level 195)
Middle School Worksheet Set G
Instructions: Fold the bottom portion of this page under—to hide the answers. 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) A tetrahedron has _______ faces 21) Each face of an octahedron has ____ sides
2) An icosahedron has ___ vertices 22) One face of an icosahedron has ___ sides
3) A cube has __________ edges 23) One face of a hexahedron has ____ sides
4) A dodecahedron has _____ faces 24) How many different face shapes form the Platonic solids? ___
5) A hexahedron has _____ vertices 25) How many triangles meet at each vertex of an icosahedron? __
6) An octahedron has ______ edges 26) There are ______ Platonic solids
7) An icosahedron has ______ faces 27) For any Platonic solid, V – E + F = ___
8) A dodecahedron has ______ vertices 28) How many different Platonic solids have 12 edges? ___
9) A hexahedron has _______ faces 29) How many squares meet at each vertex of a hexahedron? ___
10) A tetrahedron has ______ edges 30) For a cube, V + E + F = ________
11) A cube has __________vertices 31) A Platonic solid with 6 edges has ___ faces
12) An octahedron has ______ faces 32) How many triangles meet at each vertex of an octahedron? __
13) A dodecahedron has ____ edges 33) For an icosahedron, V + E + F = ____
14) A hexahedron has ______ edges 34) How many different Platonic solids have 30 edges? ___
15) A tetrahedron has _____ vertices 35) How many pentagons meet at each vertex of a dodecahedron? _
16) An octahedron has ____ vertices 36) For a dodecahedron, V + E + F = ____
17) An icosahedron has _____ edges 37) How many triangles meet at each vertex of a tetrahedron? __
18) A cube has __________ faces 38) For a tetrahedron, V + E + F = _____
19) One face of a tetrahedron has ____ sides 39) A Platonic solid with 20 vertices has ___ edges
20) Each face of a dodecahedron has __ sides 40) For an octahedron, V + E + F = _____
- - - - - - - Fold the bottom portion under to hide the Answer Key below - - - - - - -
1) 4 9) 6 17) 30 25) 5 33) 62
2) 12 10) 6 18) 6 26) 5 34) 2
3) 12 11) 8 19) 3 27) 2 35) 3
4) 12 12) 8 20) 5 28) 2 36) 62
5) 8 13) 30 21) 3 29) 3 37) 3
6) 12 14) 12 22) 3 30) 26 38) 14
7) 20 15) 4 23) 4 31) 4 39) 30
8) 20 16) 6 24) 3 32) 4 40) 26
