A 2d shape is a flat object (ex: square, circle, etc.) and a 3d shape is a shape in space (ex: cube, sphere, etc.)
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base is for 2d shapes and area of base is for 3d shapes
2d shapes only have length and width, while 3d shapes have length, width and depth.
Adding depth makes a 3D object from a 2D shape.
what are the 2d shapes of the real world
Well in geometric terms you would usually call it math of shapes, I am not so sure anybody really knows why geometry is called what it is called so... But I think it just basically means the Geometric size and study of 3D and 2D shapes!