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What two shapes have the same number or faces?
pentagonal prism
Do two congruent shapes have to have the same number of sides?
Yes, that's what makes them congruent!
What does it mean for two shapes to be similar?
Two geometric shapes are similar if they have same size,shape, side lengths,and angles.
Why does sphere has the smallest surface area?
Thinking about the two dimensional equivalent, sharp corners basically waste perimeter while encompassing little additional area. As you increase the number of corners in a shape, you end up carving out more area for the same input of perimeter. As a shape's number of sides approaches larger and larger numbers, it rounds out to the point where you can think of a circle as a shape with infinite number of sides and corners. The same goes for three dimensional figures, substituting volume for area. Essentially, sharp corners are wasteful, the more corners you have the less wasteful they are, so if you have an infinite number of corners, you'll be enclosing the most volume/area with minimum surface area/perimeter.
What shapes are polyhedrons?
Polyhedrons are three-dimensional shapes with flat faces, straight edges, and sharp corners, known as vertices. Examples of polyhedrons include cubes, pyramids, prisms, and dodecahedrons. These shapes have a closed surface and are made up of polygons, which are two-dimensional shapes with straight sides.
