Table of Contents
- 1 Which shape has the highest ratio of surface area to volume?
- 2 What shapes have the most surface area?
- 3 What shape has largest volume?
- 4 Which model has the largest surface area?
- 5 Does sphere or cube have more surface area?
- 6 What shapes have the largest volume?
- 7 What shape has the largest surface area to volume ratio?
- 8 Which has a higher surface area a cube or a sphere?
- 9 How do you find the total surface area of a cuboid?
Which shape has the highest ratio of surface area to volume?
Mathematical examples
| Shape | Characteristic Length | SA/V ratio for unit volume |
|---|---|---|
| Tetrahedron | edge | 7.21 |
| Cube | side | 6 |
| Octahedron | side | 5.72 |
| Dodecahedron | side | 5.31 |
What shapes have the most surface area?
History of the Efficient Shape Problem
- Of all regular polygons with equal perimeter, the one with the most sides has the greatest area.
- A circle has a greater area than any regular polygon of the same perimeter.
- A sphere has a greater volume than solid figures with the same surface area.
Does a sphere have the highest surface area to volume ratio?
Of all the regular shapes a sphere has the lowest possible surface area to volume ratio. That is what makes it particularly well suited for cooling drinks. The production of spherical ice cubes is also quite interesting.
What shape has largest volume?
the sphere
Interesting fact: Of all shapes with the same surface area, the sphere has the largest volume.
Which model has the largest surface area?
The model with the largest surface area is the 6cm model.
What shape has the largest volume?
sphere
Does sphere or cube have more 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.
What shapes have the largest volume?
Interesting fact: Of all shapes with the same surface area, the sphere has the largest 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 largest surface area to volume ratio?
A sphere. What three-dimensional shape has the largest possible surface area to volume ratio? There is no maximum. The desired ratio can be as large as you like. For example take the graph of y = 1 / x for x from 1 to N, where N > 1, and rotate it about the x-axis to create a three-dimensional shape.
Which has a higher surface area a cube or a sphere?
2 Answers. In fact, the sphere is the shape with minimal surface area among all bodies of the same volume, by the isoperimetric inequality. So the cube has a higher surface area.
What is the formula for a cube and a cuboid?
Cube and Cuboid Formulas. The formulas for cube and cuboid are defined based on their surface areas, lateral surface areas and volume. Cube. Cuboid. Total Surface Area = 6 (side)2. Total Surface area = 2 (Length x Breadth + breadth x height + Length x height) Lateral Surface Area = 4 (Side)2.
How do you find the total surface area of a cuboid?
Total surface area of a cuboid = Sum of the areas of all its 6 rectangular faces Total Surface Area of Cuboid= 2(lb + bh +lh) Example: If the length, breadth and height of a cuboid are 5 cm, 3 cm and 4 cm, then find its total surface area.