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.

f(2x−x2)=−3x2+6x−1

step-by-step explanation:

set up the composite function and evaluate.

f(2x−x2)=−3x2+6x−1

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