least volume and most surface area is 3D triangle
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.
no one actually knows the PROPER definition of a demi-regular tessellation but all I know is that most of them have curvy lines and/or more than one different shape in it. Some do have just one shape in it but some don't.
circle
A square.
least volume and most surface area is 3D triangle
A circle
For a given volume, you can make the surface area arbitrarily large. In other words, there is no upper limit.
A sphere contains the most volume to surface area ratio there is and most things sought that shape when molten.
A shape with a large surface area facing the direction of motion, such as a flat surface or a sphere, experiences the most air resistance. This is because a larger surface area results in more air molecules colliding with the object, creating greater resistance.
A sphere. It has minimum surface area per volume.
A drop of liquid acquires a spherical shape due to surface tension, which causes the liquid molecules to be attracted to each other, minimizing the surface area and forming the most efficient shape, a sphere, to contain the volume of liquid. This shape has the least surface area for a given volume, making it favorable for liquids.
A raindrop is in a spherical shape due to surface tension. Surface tension causes water molecules to cling together, minimizing their surface area and taking on a spherical shape, which is the most efficient shape that minimizes surface energy.
A soap bubble's shape depends on surface tension, which causes the soap film to create the most efficient shape, a sphere, to minimize its surface area. Variables such as air pressure and external forces can also influence the shape of the bubble.
I am fairly certain that red and white blood cells make there shape because that Is the most efficient shape to bind oxygen to their surface area.
An object with a large surface area and irregular shape would experience the most fluid friction. This is because more surface area comes into contact with the fluid, creating more opportunities for friction to occur due to the irregularities in the object's shape.
Liquids tend to form spherical droplets due to surface tension, which causes the molecules on the surface of the droplet to minimize their surface area. This shape is energetically favorable because it reduces the overall surface area, minimizing the energy required to maintain the droplet's integrity. Spheres have the smallest surface area for a given volume, making them the most stable shape for liquid droplets.