Educational worksheet for identifying and counting faces, edges, and vertices of 3D shapes.
Educational worksheet: Properties of 3D Shapes Worksheets by Jen Bertram worksheets library. Download and print for classroom or home learning activities.
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Step-by-step solution for: Properties of 3D Shapes Worksheets by Jen Bertram worksheets library
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Show Answer Key & Explanations
Step-by-step solution for: Properties of 3D Shapes Worksheets by Jen Bertram worksheets library
Let’s go through each 3D shape one by one. We’ll count the faces (flat or curved surfaces), edges (where two faces meet), and vertices (corners where edges meet). Then we’ll name each shape.
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1) Purple prism with hexagon bases
- Faces: 2 hexagons (top and bottom) + 6 rectangles on sides = 8 faces
- Edges: Each hexagon has 6 edges, and there are 6 vertical edges connecting them → 6 + 6 + 6 = 18 edges
- Vertices: Each hexagon has 6 corners → 6 × 2 = 12 vertices
- Name: Hexagonal Prism
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2) Green cone
- Faces: 1 flat circle base + 1 curved surface = 2 faces
- Edges: Only 1 edge — where the curved surface meets the base → 1 edge
- Vertices: The point at the top is a vertex → 1 vertex
- Name: Cone
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3) Blue cylinder
- Faces: 2 flat circles (top and bottom) + 1 curved surface = 3 faces
- Edges: 2 edges — where each circle meets the curved side → 2 edges
- Vertices: No corners → 0 vertices
- Name: Cylinder
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4) Blue pyramid with square base
- Faces: 1 square base + 4 triangular sides = 5 faces
- Edges: Square has 4 edges, plus 4 edges from base to tip → 4 + 4 = 8 edges
- Vertices: 4 corners on base + 1 tip = 5 vertices
- Name: Square Pyramid
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5) Yellow wedge-shaped solid (triangular prism)
Wait — this looks like a triangular prism, but let’s check:
Actually, it has:
- 2 triangular faces (front and back)
- 3 rectangular faces (sides)
So:
- Faces: 2 triangles + 3 rectangles = 5 faces
- Edges: Each triangle has 3 edges, and 3 connecting edges → 3 + 3 + 3 = 9 edges
- Vertices: Each triangle has 3 corners → 3 × 2 = 6 vertices
- Name: Triangular Prism
*(Note: Sometimes called a “wedge” but in geometry, if both ends are triangles and connected by rectangles, it’s a triangular prism.)*
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6) Pink sphere
- Faces: Just 1 continuous curved surface → 1 face
- Edges: No edges → 0 edges
- Vertices: No corners → 0 vertices
- Name: Sphere
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7) Green rectangular box
This is a rectangular prism (also called a cuboid).
- Faces: 6 rectangles (front, back, left, right, top, bottom) → 6 faces
- Edges: 12 edges (4 on top, 4 on bottom, 4 vertical) → 12 edges
- Vertices: 8 corners → 8 vertices
- Name: Rectangular Prism (or Cuboid)
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8) Red pyramid with triangular base
This is a triangular pyramid (also called a tetrahedron if all faces are equal triangles).
- Faces: 1 triangular base + 3 triangular sides = 4 faces
- Edges: Base has 3 edges, plus 3 edges going up to the tip → 3 + 3 = 6 edges
- Vertices: 3 on base + 1 tip = 4 vertices
- Name: Triangular Pyramid
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Now let’s write down all answers clearly for each number:
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Final Answer:
1)
Faces: 8
Edges: 18
Vertices: 12
Name: Hexagonal Prism
2)
Faces: 2
Edges: 1
Vertices: 1
Name: Cone
3)
Faces: 3
Edges: 2
Vertices: 0
Name: Cylinder
4)
Faces: 5
Edges: 8
Vertices: 5
Name: Square Pyramid
5)
Faces: 5
Edges: 9
Vertices: 6
Name: Triangular Prism
6)
Faces: 1
Edges: 0
Vertices: 0
Name: Sphere
7)
Faces: 6
Edges: 12
Vertices: 8
Name: Rectangular Prism
8)
Faces: 4
Edges: 6
Vertices: 4
Name: Triangular Pyramid
---
1) Purple prism with hexagon bases
- Faces: 2 hexagons (top and bottom) + 6 rectangles on sides = 8 faces
- Edges: Each hexagon has 6 edges, and there are 6 vertical edges connecting them → 6 + 6 + 6 = 18 edges
- Vertices: Each hexagon has 6 corners → 6 × 2 = 12 vertices
- Name: Hexagonal Prism
---
2) Green cone
- Faces: 1 flat circle base + 1 curved surface = 2 faces
- Edges: Only 1 edge — where the curved surface meets the base → 1 edge
- Vertices: The point at the top is a vertex → 1 vertex
- Name: Cone
---
3) Blue cylinder
- Faces: 2 flat circles (top and bottom) + 1 curved surface = 3 faces
- Edges: 2 edges — where each circle meets the curved side → 2 edges
- Vertices: No corners → 0 vertices
- Name: Cylinder
---
4) Blue pyramid with square base
- Faces: 1 square base + 4 triangular sides = 5 faces
- Edges: Square has 4 edges, plus 4 edges from base to tip → 4 + 4 = 8 edges
- Vertices: 4 corners on base + 1 tip = 5 vertices
- Name: Square Pyramid
---
5) Yellow wedge-shaped solid (triangular prism)
Wait — this looks like a triangular prism, but let’s check:
Actually, it has:
- 2 triangular faces (front and back)
- 3 rectangular faces (sides)
So:
- Faces: 2 triangles + 3 rectangles = 5 faces
- Edges: Each triangle has 3 edges, and 3 connecting edges → 3 + 3 + 3 = 9 edges
- Vertices: Each triangle has 3 corners → 3 × 2 = 6 vertices
- Name: Triangular Prism
*(Note: Sometimes called a “wedge” but in geometry, if both ends are triangles and connected by rectangles, it’s a triangular prism.)*
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6) Pink sphere
- Faces: Just 1 continuous curved surface → 1 face
- Edges: No edges → 0 edges
- Vertices: No corners → 0 vertices
- Name: Sphere
---
7) Green rectangular box
This is a rectangular prism (also called a cuboid).
- Faces: 6 rectangles (front, back, left, right, top, bottom) → 6 faces
- Edges: 12 edges (4 on top, 4 on bottom, 4 vertical) → 12 edges
- Vertices: 8 corners → 8 vertices
- Name: Rectangular Prism (or Cuboid)
---
8) Red pyramid with triangular base
This is a triangular pyramid (also called a tetrahedron if all faces are equal triangles).
- Faces: 1 triangular base + 3 triangular sides = 4 faces
- Edges: Base has 3 edges, plus 3 edges going up to the tip → 3 + 3 = 6 edges
- Vertices: 3 on base + 1 tip = 4 vertices
- Name: Triangular Pyramid
---
Now let’s write down all answers clearly for each number:
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Final Answer:
1)
Faces: 8
Edges: 18
Vertices: 12
Name: Hexagonal Prism
2)
Faces: 2
Edges: 1
Vertices: 1
Name: Cone
3)
Faces: 3
Edges: 2
Vertices: 0
Name: Cylinder
4)
Faces: 5
Edges: 8
Vertices: 5
Name: Square Pyramid
5)
Faces: 5
Edges: 9
Vertices: 6
Name: Triangular Prism
6)
Faces: 1
Edges: 0
Vertices: 0
Name: Sphere
7)
Faces: 6
Edges: 12
Vertices: 8
Name: Rectangular Prism
8)
Faces: 4
Edges: 6
Vertices: 4
Name: Triangular Pyramid
Parent Tip: Review the logic above to help your child master the concept of 3d shapes faces edges vertices worksheets with answers.