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
Anyone can watch two lessons on the website without an account. Signing in is free, no payment and no card, and opens three a day; Plus has no limit.

Loading
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 8
Mathematics, Geometry and measurement: construction, views, and nets of 3D objectsBC8-MA-34
Previous: Finding a Missing Leg with the Pythagorean TheoremNext: Building a 3D Object from Its Top, Front and Side Views
- British Columbia, Grade 11
Workplace Mathematics 11, Geometry: 3D objects: angles, views, and scale diagramsBC11-MA-96
This lesson is also listed in Grade 11.
The outcomes and strands follow the British Columbia curriculum.
Keep going
1 min 58 sAngles made by parallel lines and a transversal
Grade 11 · 1 min 58 s
2 min 16 sProving the angle sums of triangles and polygons
Grade 11 · 2 min 16 s
1 min 57 sReading a Map Scale: From Centimetres to Kilometres
Grade 9 · 1 min 57 s
2 min 10 sScale Factor: Lengths by k, Areas by k², Volumes by k³
Grade 11 · 2 min 10 s
1 min 58 sThe Square-Cube Law: Why Giants Can't Just Be Scaled Up
Grade 11 · 1 min 58 s
2 min 9 sWhy the Pythagorean theorem works: a rearrangement proof
Grade 8 · 2 min 9 s
2 min 9 sAdding and Subtracting Fractions with Different Denominators
Grade 8 · 2 min 9 s
2 min 11 sAdding and Subtracting Rational Expressions
Grade 11 · 2 min 11 s
- All Grade 8 Mathematics lessons
- Try the graph paper, free for everyone, no account needed.
- Create a free account to watch three lessons a day, no payment and no card.