To practice Tactics Box $13\mathrm{.}2$ Finding whether an object floats or sinks$.$

If you hold an object underwater and then release it$,$ it can float to the surface, sink, or remain $$hanging$$ in the water, depending on whether the fluid density f is larger than, smaller than, or equal to the object$$s average density avg$.$ These conditions are summarized in this Tactics Box.

Ice at $0\mathrm{.}0$C has a density of $917$ kg$/$m$3.$ A $3\mathrm{.}00$ cm$3$ ice cube is gently released inside a small container filled with oil and is observed to be neutrally buoyant. What is the density of the oil, oil$?$