Idea 9of 22Builds onHidden cubes still count
Numbers on the top view give the heights
How can one flat drawing tell you every stack's height?
Today you'll discover
- what the numbers in a top view mean
- how to count cubes from them
- how they give the other views
Think firstA top view with a number in each square
Each number is a stack's height. How many cubes are there in all?
Decide first, then press Next. Each number belongs to the stack under that square.
The top view of the seven cubes, an L of 4 squares, with 3 in the back square and 2, 1, 1 in the front row. Then the same numbers on top of each stack of cubes, then all three views with column heights, then the line 7 cubes in all. The last step shows a top view with 3, 1, 2 in the back row and 1, 2, 1 in the front.
See the whole ideathe big idea and the key word, in one place
The big idea
Numbers on a top view give each stack's height, so you can count every cube.
For exampleTop view 3 / 2 1 1: the stacks are 3, 2, 1 and 1 tall. That is 7 cubes, hidden ones included.
Where it goes nextMaps do the same with hills: numbers on a flat map give the height of the ground.
Key word
- top view with heights
- a top view with a number in each square saying how many cubes are stacked there
Ready to use it?
- Count the cubes from a top view with heights.
- Draw the front and side views from one.