Find the area ratio of a regular octahedron and a tetrahedron regular, knowing that the diagonal of the octahedron is equal to height of the tetrahedron.

Step-by-step explanation:

The area of a regular octahedron is given by:

area = . Let a is the length of the edge (diagonal).

area =

Given that the diagonal of the octahedron is equal to height (h) of the tetrahedron i.e.

a = h, where h is the height of the tetrahedron and a is the diagonal of the octahedron. Let the edge of the tetrrahedron be e. To find the edge of the tetrahedron, we use:

The area of a tetrahedron is given by:

area = =

The ratio of area of regular octahedron to area tetrahedron regular is given as:

Ratio =

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step-by-step explanation:

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