Question

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.

Answer 1

Answer:3.77 cm^2

The step-by-step explanation i just did this question on a test and i got it right

Answer 2

The volume of this octahedron is approximately 3.77 cm³.

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.