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Exploring 2D 3D Shapes
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Exploring 2D 3D Shapes
Help plan a pop-up netball tournament by solving each shape challenge. Use geometric vocabulary and show your reasoning where asked.
Tournament equipment
Ruben, Nikau and Tevita are choosing shapes for signs, equipment and trophies.
1.The tournament logo is a regular hexagon. How many sides and vertices does it have?
2.Nikau says, “A circle is a 3D shape because a ball is round.” Explain the difference between the 2D circle on a sign and the 3D ball.
3.Which solid could model a standard netball? Choose the best answer.
- Sphere
- Cylinder
- Cube
- Triangular prism
4.Match each tournament object to the most suitable geometric solid.
- Drink bottle (straight-sided)
- Equipment box
- Netball
- Trophy with a square base and triangular sides
- Cuboid
- Square-based pyramid
- Sphere
- Cylinder
5.A standard cube has 6 faces and 12 edges. How many vertices does it have?
6.True or false: Every face of a triangular prism is a triangle.
TrueFalse
Design the court-side display
Use properties of 2D shapes and 3D solids to check the team’s display plan.
7.A rectangular sign is 80 cm long and 45 cm wide. What is its perimeter? Include the calculation.
8.Tevita sketches a square-based pyramid trophy. Complete the statement: it has faces, edges and vertices.
9.Choose every property that is true of a cuboid.
- It has 6 flat rectangular faces.
- It has 8 vertices.
- It has 12 edges.
- It has a curved surface.
- All its faces must be squares.
10.The organisers want a solid with two matching triangular ends and three rectangular side faces for a display stand. Name the solid and explain how its faces fit the description.
11.Draw a net for a cube that could be folded into a small trophy box. Label or mark the six square faces, and make sure the squares are joined edge to edge so the net can fold without overlap.
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