Grade 8 · Math · Unit 10 of 14
Top, Front and Side Views
Look at cube buildings from three sides
What your child practises
Children picture what a building made of cubes looks like from the top, front and side, and use views to work out how many cubes it has.
Prince Edward Island Curriculum curriculum outcome: Shape and Space · picturing cube buildings from the top, front and side
How we explain it
Children can open this short lesson before they practise.
- Top, front and side views show a stack of cubes from three directions.
- Count the cubes you can see in each column.
- Hidden cubes still count in the real object.
Example: A stack has 3 cubes in a tower and 1 beside it. How many cubes in all? 3 + 1 = 4. Answer: 4
Sample questions
A taste of this unit. In the app, questions change every time and get easier or harder to match your child.
Question 1
A tower is 3 cubes tall and 1 cube wide. What is its top view?
- 3 squares in a row
- 1 square
- a triangle
- 3 squares in a column
1 square
Hint: From above you see only the top cube.
Question 2
A tower is 3 cubes tall and 1 cube wide. What is its front view?
- a circle
- 3 squares in a row
- 3 squares in a column
- 1 square
3 squares in a column
Hint: From the front you see all 3 cubes stacked.
Question 3
A cube has a top view, a front view and a side view. How do they compare?
- all three are the same square
- two are triangles
- all three are different
- they are circles
all three are the same square
Hint: Every face of a cube is a square.
Question 4
Why is a top view useful to builders?
- it shows how heavy the object is
- it shows the cost of the object
- it shows the colour of the object
- it shows the footprint of the object
it shows the footprint of the object
Hint: The top view shows the length and width on the ground.
Question 5
A staircase has columns of 1, 2 and 3 cubes from left to right, one cube deep. What is the right side view?
- 1 square
- a row of 3 squares
- a staircase of 6 squares
- a column of 3 squares
a column of 3 squares
Hint: The tallest column hides the others when you look from the right.
Question 6
For the same grid (Row A: 2, 1; Row B: 1, 3), how tall is the right column in the front view?
- 1 square
- 3 squares
- 4 squares
- 2 squares
3 squares
Hint: The right column has stacks of 1 and 3, so the tallest is 3.