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Math Grade 2-3

Geometry: Faces, Edges, and Vertices of 3D Shapes

Counting flat faces, straight edges, and corners

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Practice identifying and counting faces, edges, and vertices on common 3D shapes.

Read each problem carefully. Count flat faces, straight edges, and vertices, which are corners. Show your work in the space provided.

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Counting flat faces, straight edges, and corners

Math - Grade 2-3

Instructions: Read each problem carefully. Count flat faces, straight edges, and vertices, which are corners. Show your work in the space provided.
  1. 1
    A colorful cube with square faces shown.

    A cube has 6 flat square faces. How many faces does a cube have?

  2. 2
    A cube with its corners marked by dots.

    Count the vertices on a cube. Remember that vertices are corners.

  3. 3
    A colorful cereal-box-shaped rectangular prism.

    A rectangular prism is shaped like a cereal box. How many faces does it have?

  4. 4
    A rectangular prism with its edges highlighted.

    How many edges does a rectangular prism have?

  5. 5
    A square pyramid with a square base and triangular sides.

    A square pyramid has 1 square face on the bottom and 4 triangle faces on the sides. How many faces does it have in all?

  6. 6
    A square pyramid with its vertices marked by dots.

    How many vertices does a square pyramid have?

  7. 7
    A triangular prism with triangle ends and rectangle sides.

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

  8. 8
    A triangular prism with vertices marked on both triangle ends.

    A triangular prism has 6 vertices. If 3 vertices are on one triangle end, how many vertices are on the other triangle end?

  9. 9
    A cube and a rectangular prism shown side by side.

    A cube and a rectangular prism both have the same number of faces. How many faces do they each have?

  10. 10
    A cube and square pyramid with vertices marked.

    Which shape has more vertices: a cube or a square pyramid?

  11. 11
    A triangular pyramid with triangular faces.

    Look at a shape with 4 triangle faces and no square or rectangle faces. This shape is a triangular pyramid. How many faces does it have?

  12. 12
    A cube and triangular pyramid with corners marked.

    A triangular pyramid has 4 vertices. How many fewer vertices does it have than a cube?

  13. 13
    A cube-like prism and a square pyramid for comparison.

    A solid shape has 6 faces, 12 edges, and 8 vertices. Is it more like a cube or a square pyramid?

  14. 14
    A square pyramid with faces colored and vertices marked.

    Maya counts 5 faces and 5 vertices on a shape. She thinks the shape is a square pyramid. Is Maya correct?

  15. 15
    A cube and a rectangular prism with vertices marked.

    Draw or name one 3D shape that has 8 vertices. Then write how many faces it has.

LivePhysics™.com Math - Grade 2-3

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