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Basic 3D Objects

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Basic 3D Objects

Mei, Ana and Talia are planning a small exhibition of models at a marae. Use the objects and clues below to explore 3D shapes and their flat views. For views, imagine looking directly at the object from the named direction. Label measurements in centimetres where needed.

Meet the models

Use this reference: a rectangular prism has 6 rectangular faces, 12 edges and 8 vertices; a triangular prism has 5 faces, 9 edges and 6 vertices; a cylinder has 2 flat circular faces and 1 curved surface, 2 circular edges and 0 vertices.

1.Ana chooses a rectangular prism for a display plinth. How many faces, edges and vertices does it have?

2.Mei picks up a triangular-prism model. Which description is correct?

5 faces, 9 edges and 6 vertices
6 faces, 12 edges and 8 vertices
2 flat faces, 1 curved surface and no vertices
5 faces, 6 edges and 9 vertices

3.Talia looks straight down at a rectangular prism with a 7 cm by 4 cm base and a height of 3 cm. What shape is the top view, and what are its dimensions?

4.For the same prism, the 7 cm side faces the viewer. What dimensions will the front view show?

7 cm wide and 3 cm high
4 cm wide and 3 cm high
7 cm wide and 4 cm high

5.Match each view of the rectangular prism with the pair of dimensions it shows.

Top view
Front view
Side view

Depth and height
Width and depth
Width and height

6.True or false? A cylinder has vertices where its curved surface meets its circular faces.

TrueFalse

7.A triangular prism is viewed from the end, looking directly at one triangular face. What 2D shape should appear?

8.A closed rectangular-prism box is 8 cm long, 5 cm wide and 2 cm high. Calculate its volume.

9.The display needs to be wrapped all over. Find the surface area of the 8 cm by 5 cm by 2 cm box. Use 2(lw + lh + wh).

10.Draw a labelled top, front and side view of a rectangular prism measuring 6 cm long, 3 cm deep and 4 cm high. Show the correct rectangular outline and label the dimensions on each view.

Use this space for your three labelled orthographic views in Question 10.