What’s the next largest ramp you can build that is similar to the
The lengths 15, 12, and 9 have the same ratios as
10-8-6 and as 5-4-3.
5 x 3 = 15
4 x 3 = 12
3 x 3 = 9
10 x 1.5 = 15
8 x 1.5 = 12
6 x 1.5 = 9
It doesn’t ma
tter whether y
used the or
iginal ramp or the
sion to do y
orks out jus
t the same!
What if I wanted a ramp even smaller? Can I just keep
doing more factor trees?
A:The Kwik-klik units don’t come in half sizes—there isn’t a 1.5
length, so you’d quickly run out of parts, but assuming you weren’t
just talking about building it with the kit parts, you still only need
to do your factor trees until one of the numbers on the bottom is a
prime number—that means it can’t be divided by anything except
itself and one. Then to make a really small ramp you’d multiply
those factors by a fraction.
How can we skate on a 2D ramp? Isn’t this gonna be
more like a rail that you can slide on?
A:What we’re actually representing is the side of the ramp.
There would be two of these side triangles the same, with a panel
connected to the sloping beam on each triangle. This is a 3D
problem which has a 2D solution.
If you’re interested in exploring 3D problems further, come and
catch up with Sam in Head First 3D Geometry.
122 Chapter 3
t the jumps
y look like