Edges, vertices, and faces · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.
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Faces, Edges, and Vertices

Mathematics · Geometry · ages 6-7
Name ______________________   Date ____________

  1. What do we call the pointy corner where edges meet?

    • Face
    • Vertex
    • Edge

  2. You turn a cube to rest on a different face. Which counts stay the same?

    • Only its face count and its edge count
    • All its face, edge and vertex counts
    • Only its edge count and its vertex count
    • Only its face count and its vertex count

  3. Count the vertices of a square pyramid. Include the corners of its base and its top point. How many are there?

    Answer: ______________

  4. What do we call the flat surface of a 3-D shape?

    • Face
    • Edge
    • Vertex

  5. Noah counts 4 sides on each of a cube's 6 faces and gets 24. Has he counted each cube edge only once?

    Circle one:   True   False

  6. A cylinder has two flat circle ends and a curved part between them. Which parts count as faces in this lesson?

    • The curved part between the ends
    • Both ends and the curved part
    • The two flat circle ends
    • One end and the curved part

  7. You mark the top and bottom faces of a closed cuboid box. How many of its faces are still unmarked?

    Answer: ______________

  8. A triangular prism has 2 triangle faces and 3 rectangle faces. How many faces does it have in total?

    • 5
    • 3
    • 6

  9. Mia says a cube has 12 faces and 6 edges. What did she mix up?

    • She counted vertices instead of edges
    • She swapped the numbers for faces and edges
    • She is completely correct

  10. A cube and a square pyramid have the same number of vertices.

    Circle one:   True   False

LightMySky · lightmysky.comW1-mt_Mnodea7mG_-s1

Answer key

For grown-ups. Fold this page away before handing over the rest.

Faces, Edges, and Vertices W1-mt_Mnodea7mG_-s1

  1. Vertex · A vertex is the sharp corner where edges come together.
  2. All its face, edge and vertex counts · Turning the cube changes which parts you see. It does not add or remove any faces, edges or vertices.
  3. 5 · The square base has 4 vertices. The top point adds one more, making 5.
  4. Face · A face is the flat part you can touch, like the side of a box.
  5. False · Each cube edge belongs to two faces. Noah's face-by-face count counts every edge twice.
  6. The two flat circle ends · Here, faces are flat. Both circle ends are flat faces. The curved part is part of the surface, but it is not a face.
  7. 4 · The cuboid has 6 faces. Top and bottom are 2 marked faces, leaving 4 unmarked faces.
  8. 5 · Add the triangle faces and rectangle faces: 2 plus 3 makes 5.
  9. She swapped the numbers for faces and edges · A cube has 6 faces and 12 edges, not the other way around.
  10. False · Compare vertices with vertices. A cube has 8 and a square pyramid has 5, so their counts differ.
Worksheet · LightMySky