The area of the ice floe is 8m square, 25 cm thick. Will a person submerge it entirely

The area of the ice floe is 8m square, 25 cm thick. Will a person submerge it entirely in fresh water if a person weighs 600N stands on it?

Given: S (area of the considered ice floe) = 8 m2; h (ice thickness) = 25 cm = 0.25 m; Ph (human weight) = 600 N.

Constants: g (acceleration due to gravity) ≈ 10 m / s2; ρw (fresh water density) = 1000 kg / m3; ρl (ice density) = 900 kg / m3

To prevent the ice floe from drowning, the following condition must be met: Pl + Rch <Fa.

ml * g + Рч <ρw * g * V.

ρl * V * g + Рч <ρв * g * V.

ρl * S * h * g + Рч <ρв * g * S * h.

900 * 8 * 0.25 * 10 + 600 <1000 * 10 * 8 * 0.25.

18600 N <20000 N (it is true that the ice floe will not sink).