Idea 15of 22Builds onThe most cubes that fit two views
The fewest cubes that fit two views
With only a front and a side view, how small could the building be?
Today you'll discover
- how one stack can do two jobs
- the smallest building that fits
- the range from fewest to most
Think first5 cubes fit these views. Can fewer?
What is the fewest cubes that still give both views?
Decide first, then press Next. Look for one stack that can count in both views.
The front view 2, 1 and the side view 2, 1, with the biggest building that fits, 5 cubes. Then the smallest: a stack of 2 at the front left and one cube at the back right, 3 cubes. Then both side by side under the line 5 different buildings fit.
See the whole ideathe big idea and the key word, in one place
The big idea
For the fewest cubes, let one stack show in both views whenever their numbers match.
See the patternFor front 2, 1 and side 2, 1, any building from 3 to 5 cubes can fit. Only a top view, or numbers, would say which.
Easy to get wrongStacks in the fewest building may touch only at a corner, or not at all. That still counts.
Key word
- fewest cubes
- the smallest number of cubes a building can have and still match the views
Ready to use it?
- Find the fewest cubes that fit two views.
- Say the range from fewest to most.