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3D Shapes and Properties
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3D Shapes and Properties
Ruben, Ngaio and Keira are packing geometric display models for a road trip. Use the models and their properties to solve each task. Count curved surfaces as surfaces, and use the usual school convention that a cylinder has 2 circular edges.
Read the models
Use the named solids and their usual properties for Questions 1–3.
1.Which model has two triangular faces and three rectangular faces?
- Cube
- Rectangular prism
- Triangular prism
- Cylinder
2.Which two models have at least one curved surface?
3.Keira says, “A cone has one flat circular face, one curved surface and one vertex.” Is she correct? Explain briefly.
Properties at a glance
A face is a flat surface. An edge is where two faces meet. A vertex is a corner where edges meet.
4.Complete the property count for a cube: faces, edges and vertices.
5.Match each solid to its number of vertices.
- Triangular prism
- Rectangular prism
- Cone
- Cylinder
- 8
- 0
- 6
- 1
6.Ruben packs a closed cube-shaped box. How many flat faces, edges and vertices does the box have altogether? State the three counts.
7.A prism has two congruent triangular ends and three rectangular side faces. How many faces does it have in total?
8.Two candidate cube nets are described here. Net A has four squares in a row, with one square attached above the second square and one below the second square. Net B has six squares in a straight row. Which net folds into a cube without faces overlapping? Give one reason.
9.Ngaio slices straight across a cylinder parallel to its circular bases. What 2D shape is the cross-section?
- Triangle
- Circle
- Rectangle
- Hexagon
10.A road-trip display combines a hemisphere and a cylinder, joined along one circular face. Describe the outside surfaces of the combined solid and explain why the join is not an exposed face.
2 printable pages
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Page 2
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