You could include science standards, too - properties of matter,
structure, physics, engineering, design technology, chemistry...
As far as 3-D/Math/geometry implications - there have been studies on
reasoning and proof skills and the use of 3-dimensional solids...
At the very least you are looking at the use of manipulatives for
From the NCTM standards:
'discover mathematical concepts through the use of manipulative
materials and models'
Spatial visualization and geometric solids...