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3D Shape Properties

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3D Shape Properties

A mini-golf designer is choosing solid shapes for obstacles. Use shape properties to solve the challenges. For this worksheet, count flat surfaces as faces; curved surfaces are named separately. A curved join between surfaces counts as an edge.

Shape detectives

Use what you know about faces, edges and vertices to inspect the solids named in the questions and table.

1.The course needs an obstacle with exactly 6 flat square faces. Which solid should the designer choose?
2.Which solid has 5 flat faces, 8 edges and 5 vertices?
  • Cube
  • Square pyramid
  • Cylinder
  • Sphere
3.A ball rolls smoothly in every direction. Which solid best models the ball, and how many vertices does that solid have?
4.Match each mini-golf object to the solid shape it most closely resembles.
  • A straight-sided storage box
  • A round tunnel with two circular ends
  • A pointed obstacle with a circular base
  • A perfectly round ball
  • Cylinder
  • Sphere
  • Cone
  • Rectangular prism (cuboid)

Plan the parts

Remember: a vertex is a corner where edges meet. Curved solids can have curved surfaces as well as flat faces.

Solid

Flat faces

Edges

Vertices

Cube

6

?

8

Solid B

5

8

?

Cylinder

?

2

0

5.Complete the table entries marked with ?. Write the missing number for the cube's edges, Solid B's vertices, and the cylinder's flat faces. Solid B is the solid in the table with 5 flat faces and 8 edges.
6.True or false? A cone has one flat circular face and one vertex.
TrueFalse
7.A student says, “A cylinder has 2 vertices because it has 2 circular ends.” Explain why this is incorrect.
8.The designer wants a shape with a curved surface that can roll, but also a flat face it can stand on. Name one suitable solid and describe the feature that lets it stand.
9.Sketch any solid obstacle you know. Label one face, one edge and one vertex if the solid has them. If it has no vertices, write “0 vertices”.

2 printable pages

  • 3D Shape Properties, page 1 of 2: Shape detectives

    Page 1

  • 3D Shape Properties, page 2 of 2: Plan the parts

    Page 2

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