{
 "source": "https://peabody.kids/flashcards/math-3d-solids",
 "id": "math-3d-solids",
 "title": "Solid Shapes: Faces, Edges, Vertices",
 "category": "math",
 "subject": "Math",
 "levels": [
  "k-2",
  "3-5",
  "6-8"
 ],
 "description": "3D shapes and their parts, including the Platonic solids and Euler's formula.",
 "tags": [
  "solids",
  "3d shapes",
  "geometry"
 ],
 "frontLabel": "Solid",
 "backLabel": "Facts",
 "cards": [
  [
   "Cube",
   "6 square faces, 12 edges, 8 vertices"
  ],
  [
   "Rectangular prism",
   "6 rectangular faces, 12 edges, 8 vertices",
   "A shoebox"
  ],
  [
   "Triangular prism",
   "5 faces, 9 edges, 6 vertices"
  ],
  [
   "Square pyramid",
   "5 faces, 8 edges, 5 vertices"
  ],
  [
   "Triangular pyramid (tetrahedron)",
   "4 faces, 6 edges, 4 vertices"
  ],
  [
   "Pentagonal prism",
   "7 faces, 15 edges, 10 vertices"
  ],
  [
   "Hexagonal prism",
   "8 faces, 18 edges, 12 vertices"
  ],
  [
   "Cylinder",
   "2 flat circular faces and 1 curved surface; no vertices"
  ],
  [
   "Cone",
   "1 flat circular face, 1 curved surface, 1 vertex"
  ],
  [
   "Sphere",
   "A perfectly round solid; every surface point is the same distance from the center"
  ],
  [
   "Hemisphere",
   "Half of a sphere"
  ],
  [
   "Face",
   "A flat surface of a solid"
  ],
  [
   "Edge",
   "A line where two faces meet"
  ],
  [
   "Vertex",
   "A corner where edges meet"
  ],
  [
   "Base",
   "The face a solid sits on, or the matching ends of a prism"
  ],
  [
   "Prism",
   "A solid with two parallel identical bases and flat rectangular sides"
  ],
  [
   "Pyramid",
   "A solid with one base and triangular sides meeting at an apex"
  ],
  [
   "Apex",
   "The top point of a pyramid or cone"
  ],
  [
   "Euler's formula for polyhedra",
   "Vertices − Edges + Faces = 2",
   "V − E + F = 2"
  ],
  [
   "Polyhedron",
   "A solid with only flat faces"
  ],
  [
   "Platonic solid",
   "A polyhedron whose faces are all the same regular polygon, with the same number meeting at each vertex"
  ],
  [
   "How many Platonic solids are there?",
   "Five"
  ],
  [
   "Tetrahedron",
   "Platonic solid with 4 triangular faces"
  ],
  [
   "Cube (hexahedron)",
   "Platonic solid with 6 square faces"
  ],
  [
   "Octahedron",
   "Platonic solid with 8 triangular faces"
  ],
  [
   "Dodecahedron",
   "Platonic solid with 12 pentagonal faces"
  ],
  [
   "Icosahedron",
   "Platonic solid with 20 triangular faces"
  ],
  [
   "Net of a cube",
   "A flat pattern of 6 connected squares that folds into a cube"
  ],
  [
   "Lateral face",
   "A side face of a prism or pyramid (not a base)"
  ],
  [
   "Slant height",
   "The distance along the sloped side of a cone or pyramid from apex to base edge"
  ],
  [
   "Which solid rolls and slides?",
   "A cylinder"
  ],
  [
   "Which solid rolls but does not stack?",
   "A sphere"
  ],
  [
   "Cuboid",
   "Another name for a rectangular prism"
  ],
  [
   "Torus",
   "A donut shape"
  ],
  [
   "Ellipsoid",
   "A stretched sphere, like a rugby ball"
  ],
  [
   "Frustum",
   "A cone or pyramid with its top sliced off parallel to the base"
  ]
 ]
}