Can a cube can cast a shadow with a shape of hexagon , rectangle , triangle ?
A cube can cast a shadow of a rectangle:
Take a cube a,b,c,d,e,f,g,h
let DEFC be the roof and ABFG be the base
Then when you put the source of light on one of the lateral side (CB,FH,EG,DA) then a rectangular shadow will be casted
A cube can also cast a shadow of hexagon
Take the same cube
put the source of light on the point where three of the cube's edges meet. then it will cast a shadow of hexagon.
No a cube cannot cas the shadow of a triangle.