You cannot draw a 3d shape. What you can draw, though, is a two dimensional projection of a 3 dimensional shape.
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Yes you can draw the nets of 3D objects on graph paper
It is impossible to name and draw ALL 3D shapes - there are infinitely many possibilities.
The special features of 3D shapes are they all are 3D which means they are fat but 2D shapes are flat they can not stand up.
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3D shapes have three dimensions, namely length, breadth and height.