3-D shapes (age 10+) · seed 1 · A4, ink-friendly. The answer key prints on its own page for grown-ups.

3-D shapes: predict, fold, and describe

Mathematics · Geometry · ages 10-11
Name ______________________   Date ____________

  1. A cube has 8 vertices. A square pyramid has 5 vertices. How many vertices do they have altogether?

    Answer: ______________

  2. How many faces does a triangular prism have?

    • 5
    • 6
    • 4
    • 3

  3. Which word means the flat surfaces of a 3-D shape?

    • Edges
    • Faces
    • Vertices

  4. A vertex is the point where edges meet at a corner.

    Circle one:   True   False

  5. A net shows 4 triangles around a square base. How many faces will the folded solid have?

    Answer: ______________

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

    Answer: ______________

  7. Which net folds into a triangular prism?

    • Six squares
    • Two triangles and three rectangles
    • One square and four triangles
    • Two circles and one rectangle

  8. Sam folds a net of three rectangles and two triangles and claims he made a square pyramid. Is Sam right?

    Circle one:   True   False

  9. Ben cut out 3 triangles and 2 rectangles to build a net for a triangular prism, but the shape would not close properly when he folded it. What went wrong?

    • He needs 2 triangles and 3 rectangles, not 3 and 2
    • He needs 4 triangles and 1 rectangle
    • He needs only rectangles, no triangles

  10. Which solid has exactly 1 apex, 5 vertices and 8 edges?

    • Triangular prism
    • Cube
    • Tetrahedron
    • Square pyramid
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Answer key

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

3-D shapes: predict, fold, and describe W1-mt_REwgr0d_ss-s1

  1. 13 · Altogether they have 13 vertices because 8 + 5 = 13.
  2. 5 · 5 faces is correct: 2 triangular ends plus 3 rectangular sides.
  3. Faces · Faces are the flat outer surfaces. Edges are where two faces meet, and vertices are the corner points.
  4. True · That's correct. A vertex is a corner point of a 3-D shape.
  5. 5 · The solid has 5 faces: the square base plus the 4 triangles.
  6. 5 · Add the faces together: 2 triangles plus 3 rectangles makes 5 faces.
  7. Two triangles and three rectangles · Two triangles and three rectangles is correct: the triangles become the two ends and the rectangles wrap around them.
  8. False · Sam is wrong. Three rectangles plus two triangles fold into a triangular prism, not a square pyramid.
  9. He needs 2 triangles and 3 rectangles, not 3 and 2 · A triangular prism needs exactly 2 triangle ends and 3 rectangle sides. Ben swapped the numbers around.
  10. Square pyramid · The square pyramid fits: 4 base corners plus 1 apex make 5 vertices, with 8 edges.
Worksheet · LightMySky