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What shapes don't have lines of symmetry?
Ovals; circles; any circular shape with no edges or corners
What is a set of parallel cross-sections are congruent rectangles?
That's a statement that can apply to any rectangular prism.
What is a eight figure?
A 'figure eight' is any shape that loosely, or closely, resembles the shape of 8 - in other words, two conjoined circles, or ovals.
Why are manholes in circles and not in square or rectangle?
They can be any shape ! We have square and rectangular ones in my town (and there's at least a couple of triangular ones too !)
What is the cross-sectional area of a 3D shape all about - explained simply as possible please?
You have a 3-d shape. If you slice of a part of it with a very very sharp instrument (a sharp sword or a laser, for example) the cross section is the shape of the newly cut surface. So, if you start with a sphere, any section will be a circle. Of different sizes depending on how high or low you cut, but they'll all be circles. If you have a cone, a dead vertical cut, through its apex (top point) will be a triangle. But as you move off the apex, you will get a parabola. Cut is horizontally, though, and you will get circles - ncreasing in size as you move further from the apex. Cut it at a slight slant and you will get ellipses (ovals). And so on.
