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3D Shape Properties
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3D Shape Properties
Anahera, Oliver and Hana are checking the shapes used in a city bus shelter and its signs. Use faces, edges and vertices to solve each task. A face is a flat surface; an edge is where two faces meet; a vertex is a corner. Count curved surfaces separately from flat faces.
Shape spotting
1.The shelter has a cube-shaped emergency-kit box. Which description gives its number of faces, edges and vertices, in that order?
- 6 faces, 12 edges, 8 vertices
- 6 faces, 8 edges, 12 vertices
- 8 faces, 12 edges, 6 vertices
- 4 faces, 6 edges, 4 vertices
2.Oliver says a rectangular prism and a cube both have 6 flat faces, 12 edges and 8 vertices. Is his statement true or false?
- True
- False
3.A cylindrical post has two flat circular faces and one curved surface. How many flat faces and curved surfaces does it have altogether?
4.Match each bus-stop object to its most likely 3D shape.
- A round ball used in a display
- A straight-sided post with circular ends
- A pointed roof with a circular base
- A box with rectangular faces
- Cylinder
- Rectangular prism
- Cone
- Sphere
Investigate the structures
5.A solid has 5 faces, 8 edges and 5 vertices. It has one square base and four triangular faces. Name the solid.
6.A triangular prism has two triangular ends and three rectangular side faces. Work out its total number of faces, edges and vertices.
7.A net is a flat arrangement of faces that folds into a solid. Draw one valid net for a cube in the box. Make sure the squares are joined edge to edge.
8.Hana cuts a solid cube straight through the middle, parallel to one of its faces. What shape is the cross-section?
- A square
- A triangle
- A circle
- A pentagon
9.Explain why a sphere has no vertices, even though it has a curved surface.
10.Design a solid for a new shelter feature using only square and triangular faces. Draw or describe your solid, then state its number of faces, edges and vertices. Your counts must be consistent.
2 printable pages
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