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Solid Shapes: Faces, Edges, Vertices

3D shapes and their parts, including the Platonic solids and Euler's formula.

36 cardsGrades K–2, Grades 3–5, Grades 6–8#solids#3d shapes#geometry

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36 cards
  • CubeSolid
    6 square faces, 12 edges, 8 vertices
  • Rectangular prismSolid
    6 rectangular faces, 12 edges, 8 verticesA shoebox
  • Triangular prismSolid
    5 faces, 9 edges, 6 vertices
  • Square pyramidSolid
    5 faces, 8 edges, 5 vertices
  • Triangular pyramid (tetrahedron)Solid
    4 faces, 6 edges, 4 vertices
  • Pentagonal prismSolid
    7 faces, 15 edges, 10 vertices
  • Hexagonal prismSolid
    8 faces, 18 edges, 12 vertices
  • CylinderSolid
    2 flat circular faces and 1 curved surface; no vertices
  • ConeSolid
    1 flat circular face, 1 curved surface, 1 vertex
  • SphereSolid
    A perfectly round solid; every surface point is the same distance from the center
  • HemisphereSolid
    Half of a sphere
  • FaceSolid
    A flat surface of a solid
  • EdgeSolid
    A line where two faces meet
  • VertexSolid
    A corner where edges meet
  • BaseSolid
    The face a solid sits on, or the matching ends of a prism
  • PrismSolid
    A solid with two parallel identical bases and flat rectangular sides
  • PyramidSolid
    A solid with one base and triangular sides meeting at an apex
  • ApexSolid
    The top point of a pyramid or cone
  • Euler's formula for polyhedraSolid
    Vertices − Edges + Faces = 2V − E + F = 2
  • PolyhedronSolid
    A solid with only flat faces
  • Platonic solidSolid
    A polyhedron whose faces are all the same regular polygon, with the same number meeting at each vertex
  • How many Platonic solids are there?Solid
    Five
  • TetrahedronSolid
    Platonic solid with 4 triangular faces
  • Cube (hexahedron)Solid
    Platonic solid with 6 square faces
  • OctahedronSolid
    Platonic solid with 8 triangular faces
  • DodecahedronSolid
    Platonic solid with 12 pentagonal faces
  • IcosahedronSolid
    Platonic solid with 20 triangular faces
  • Net of a cubeSolid
    A flat pattern of 6 connected squares that folds into a cube
  • Lateral faceSolid
    A side face of a prism or pyramid (not a base)
  • Slant heightSolid
    The distance along the sloped side of a cone or pyramid from apex to base edge
  • Which solid rolls and slides?Solid
    A cylinder
  • Which solid rolls but does not stack?Solid
    A sphere
  • CuboidSolid
    Another name for a rectangular prism
  • TorusSolid
    A donut shape
  • EllipsoidSolid
    A stretched sphere, like a rugby ball
  • FrustumSolid
    A cone or pyramid with its top sliced off parallel to the base

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