Answer:

1. Three noncongruent pyramids with equal volume meet along a diagonal of a rectangular prism. We can approximate the volume of a pyramid by stacking thick rectangular cards parallel to the base.

2. So the cone's volume is exactly one third ( 1 3 ) of a cylinder's volume. (Try to imagine 3 cones fitting inside a cylinder, if you can!)

3. A cylinder is a three-dimensional solid consisting of two congruent, parallel, circular sides (the bases), joined by a curved surface. You could also think of a cylinder as a “circular prism”. consists of two congruent, parallel circles joined by a curved surface.

4. The volume of one cone must be the same volume as a hemisphere (if they have the same radius and the height of the cone is the diameter of the sphere).

5. The SI unit of volume is the cubic meter (m 3 ), which is the volume occupied by a cube that measures 1 m on each side. This very large volume is not very convenient for typical use in a chemistry laboratory. A liter (L) is the volume of a cube that measures 10 cm (1 dm) on each side.