Lesson · Grade 8 · Mathematics

Top, Front and Side Views of a 3D Object

  • Grade 8
  • Mathematics
  • 1 min 46 s
  • British Columbia
  • BC8-MA-34

A camera turns around an object built from 6 linking cubes to look straight at its front, top and right side, and each view is copied onto grid paper as flat squares (5, 4 and 4 squares, because some cubes hide behind others). The video then shows the common mistake of drawing a view with slanted 3D faces and checks that the lined-up views agree: front and side are both 3 squares tall, and front and top are both 3 squares wide.

Concept: Front, top and side views of a 3D object

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In one sentence

The question this lesson answers

This object is made of 6 linking cubes: 1, 2, 3, 4, 5, 6.

How do we draw what it looks like from the top, from the front and from the right side?

Transcript

What the lesson says

This object is made of 6 linking cubes: 1, 2, 3, 4, 5, 6.

How do we draw what it looks like from the top, from the front and from the right side?

A view is a flat drawing of what you see when you look straight at the object from one direction. We draw each view on grid paper.

First, turn to look straight at the front.

Now every face you see is a flat square, and you cannot tell how far back each cube is.

Copy the squares onto the grid: 1, 2, 3, 4, 5. The front view has 5 squares, not 6, because one cube is hidden behind another.

Next, turn to look straight down from the top.

Copy the top view onto the grid. It has 4 squares, because the tower of 3 cubes shows as just 1 square.

Then turn to look straight at the right side.

Copy the right side view. It has 4 squares: the front row of 3 cubes shows as 1 square on the left, and the tower is on the right.

A common mistake is to draw a view in 3D, with slanted tops and sides.

When you look straight at the object, every cube face you see is a flat square, so a view has no slanted faces.

Check: the front and side views are both 3 squares tall, and the front and top views are both 3 squares wide.

To draw a view, look straight at the object from one direction and draw only the flat squares you see.

Curriculum

Where this fits

British Columbia, Grade 11

Workplace Mathematics 11, Geometry: 3D objects: angles, views, and scale diagramsBC11-MA-96

Next: Reading a Map Scale: From Centimetres to Kilometres

This lesson is also listed in Grade 11.

The outcomes and strands follow the British Columbia curriculum.