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3D Shapes and Nets
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3D Shapes and Nets
Answer each question. For drawing tasks, label your diagrams clearly.
Identify and describe solids
Use the shape names and properties to reason about the equipment.
1.A cube-shaped food tin has 6 square faces. How many edges and vertices does it have?
2.A tent has the shape of a triangular prism. Select every true statement about the solid.
- It has 5 faces.
- It has 6 vertices.
- It has 9 edges.
- It has 2 triangular faces and 3 rectangular faces.
- It has a circular base.
3.A cylindrical drink bottle is represented by a closed cylinder. How many flat circular faces and curved surfaces does it have?
4.At a vertex of a polyhedron, how many or more edges meet? Explain what a vertex is.
Unfolding and building nets
A net is a flat arrangement of faces that can fold to make a 3D shape.
5.A triangular-prism tent model is laid out as a net. How many triangular faces and how many rectangular faces must the net contain?
6.A closed cylinder is cut along its curved surface and around both circular ends, then unfolded flat. Name the shapes in its net.
7.Draw one possible net for a cube in the space below. Your net must use six equal squares and fold without overlap.
8.A student says, “Any six squares joined edge-to-edge will make a cube net.” Is this correct? Explain why or why not.
Solve the shape puzzle
Use properties, nets and reasoning to crack the final clues.
9.A mystery solid has 5 faces, 9 edges and 6 vertices. It has two matching triangular ends. What is the solid, and what are the other three faces?
10.A square-based pyramid has a square base and four triangular side faces. Find its total number of faces, edges and vertices.
11.A rectangular prism has length 8 cm, width 5 cm and height 3 cm. What would its plan view look like, and what would its area be?
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