The small triangles bottom is 12 the big triangles left side is 6 and bottom side is 18 Onx cuts two similar triangles out of cardboard. What is the length in units of the left side of the top triangle?

Since the two triangles are similar, their sides are proportional.

The ratio of the left side of the big triangle to the left side of the small triangle is equal to the ratio of the bottom side of the big triangle to the bottom side of the small triangle.

Let x be the length of the left side of the small triangle.

So, we have:
6/x = 18/12
6x = 18 * 12
6x = 216
x = 36

Therefore, the length of the left side of the top triangle is 36 units.