Estimations using common shapes
We rarely measure areas directly. For example, there is no tape measure that has an area.
Rectangle
Circle
Ellipse
Any shape
Areas
- Notice that these all involve the length and the width and a factor
| shape | area |
|---|---|
| rectangle | l \cdot w |
| circle | 0.79\ l \cdot w |
| ellipse | 0.79\ l \cdot w |
Area
- Has dimension of length squared
Common Shape Volumes
Basic Volumes
- Cube
- Cylinder
- Pyramid
- Sphere
What is in common?
- A length times a length times a length
- Has dimensions of length cubed
- Volume only differs from a rectangular prism by a factor
Cylinder
Sphere
