- Introduction to solids: Learn the names and features of 3D shapes
- Rectangular prisms: Discover how to find the volume of any box!
- Prism volume: Find the volume of prisms and cylinders
- Cavalieri's Principle (3D): Instead of matching widths, you'll be matching areas!
- Pyramid volume: Starting with a cube, discover the pyramid volume formula
- Cone volume: Find the volume of any cone, and learn about slant height
- Sphere volume: Use Cavalieri's principle to find the volume of a sphere
Prism is a three-dimensional figure with a pair of parallel and congruent ends, or bases. Prisms are identified by their bases and the sides of a prism are parallelograms.
Cube is a rectangular prism whose sides all have the same length.
Right prism, every edge connecting the base and the opposite face makes right angles with both faces.
Oblique prism, not every edge connecting the base and the opposite face makes right angles with both faces.
Area of a shape is the number of unit squares that fit inside it.
Volume of a solid is the number of unit cubes that fit inside it or another definition, Volume is a measure of how much space a three-dimensional figure occupies.
Right rectangular prism is a prism with rectangular bases and the angle between each base and its rectangular lateral sides is also a right angle, we can identify a right rectangular prism by its box shape.
Prism volume = Base-area time Height
If two shapes have the same height with matching widths everywhere along the height, then the shapes have the same area.
When solids have the same height with matching areas everywhere along the height, the they have the same volume.
Pyramid and Cone have the same height and their bases have the same area.
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