For the regular octahedron, each edge has length 2 cm, and h = 2√ cm. What is the volume of the octahedron? Round to the nearest hundredth.

The volume of this octahedron is approximately 3.77 cm³.

Step-by-step explanation:

The volume of a regular octahedron is given by the following formula:

Volume = (1/3) * sqrt (2) * a³

Where "a" is the length of each edge. Therefore to solve this problem we have:

Volume = (1/3) * sqrt (2) * (2) ³

Volume = (1/3) * sqrt (2) * 8

Volume = 3.7712 cm³

The volume of this octahedron is approximately 3.77 cm³.