According to VBT, the shape of [CoF6]-3 is:

According to VBT, the shape of [CoF₆]^-3 is octahedral.

Explanation

The element Cobalt belongs to group VIII of the periodic table. It is similar to iron and nickel in its physical properties. The electronic configuration of cobalt is [Ar] 3d⁷4s².

Co is in +3 oxidation state in the complex [CoF₆]^-3_. Hence [CoF₆]^-3 is sp³d² hybridized and the shape is octahedral.