Table of Contents
What 3 dimensional shape has the most surface area?
And we would like to have a mathematical explanation for it please. The sphere is the shape with the most volume per surface area.
What shape has the biggest surface area to volume ratio?
Among 3-D figures (polyhedra), the tetrahedron has the greatest surface-area-to-volume ratio.
What three dimensional shape has the least surface area?
The arc is a segment of the great circle, and is also a geodesic (the term geodesic means the shortest possible distance between two points on a curved surface). The sphere is perfectly symmetrical, and has the smallest ratio of surface area to volume of any three-dimensional shape.
What is the most efficient shape for surface area?
You can also consider other solids, where for simplicity the volume is fixed to unity. Of all cuboids, the cube (i.e. equilateral cuboid) gives the greatest volume contained per surface area.
What has the most surface area?
Mathematical examples
| Shape | Characteristic Length | SA/V ratio for unit volume |
|---|---|---|
| Dodecahedron | side | 5.31 |
| Capsule | radius (R) | 5.251 |
| Icosahedron | side | 5.148 |
| Sphere | radius | 4.83598 |
Which 3D shape has the biggest volume?
the sphere
Interesting fact: Of all shapes with the same surface area, the sphere has the largest volume.
Which 3d shape has the biggest volume?
What 2d shape has the most surface area?
circle
The height is the vertical distance between the base and the top. Among all the shapes with the same perimeter, a circle has the largest area.
What shape has the least surface area?
sphere
Of all the shapes, a sphere has the smallest surface area for a volume. Or put another way it can contain the greatest volume for a fixed surface area.
How do you find the surface area of a 3 dimensional object?
Surface area is the sum of the areas of all faces (or surfaces) on a 3D shape. A cuboid has 6 rectangular faces. To find the surface area of a cuboid, add the areas of all 6 faces. We can also label the length (l), width (w), and height (h) of the prism and use the formula, SA=2lw+2lh+2hw, to find the surface area.
Which one has greater surface area?
For a given volume,cube has greater surface area. T hat means if you take a sphere and a cube both having the same volume ,then cube will be having the greater surface area.