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2D and 3D Shapes

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2D and 3D Shapes

A pop-up science centre is planning a shape-themed exhibit. Use the diagrams and clues to identify shapes, compare their properties and plan a display. For 3D shapes, count curved surfaces separately from flat faces.

Shape spotters

Start by reading each shape's properties carefully.

1.The exhibit sign needs a polygon with exactly five straight sides. Which shape should go on the sign?

Pentagon
Hexagon
Octagon
Circle

2.A display cube has square faces. State how many faces, edges and vertices it has altogether.

3.A triangular-prism model is made from flat faces. How many triangular faces and how many rectangular faces does it have?

4.Which 3D shape has one continuous curved surface and no flat faces, edges or vertices?

Cone
Cylinder
Sphere
Square-based pyramid

Build and describe

Use shape properties to work out what the models are made from.

5.A square-based pyramid has one square base and four triangular sides. Find its total number of faces, edges and vertices.

6.A rectangular-prism box has three pairs of opposite faces. Name the 2D shape of its faces, and explain how the face shapes could differ in size.

7.Mere says, “A 2D shape has length and width, while a 3D shape also has depth.” Is Mere's description correct? Explain using one example of each.

8.Complete the description: A cylinder has flat faces and curved surface. The flat faces are shaped like .

Views and nets

Think about how flat shapes make solid objects.

9.A visitor looks straight down at a cone standing upright on its circular base. Which 2D shape is seen in this plan view?

Circle
Triangle
Rectangle
Pentagon

10.Draw one valid net made from six equal squares that can fold into a cube. Label the squares A–F. Your net must connect edge-to-edge and must not overlap when folded.

11.Choose a real object you might find in a New Zealand home or community. Name the object, identify the 3D shape it most closely resembles, and give one property that supports your choice.