You are playing a game called "will it float? " in this game, you are given a large, square can of tuna. if you know the density of water, what is the minimal information you need to decide if the tuna will float in the water?

the mass and the volume of the can of tuna

The only information you would need to decide if the can will float is the density of the can, which requires knowing the mass and volume. If the density of the can is less than one, the can will float. if it is greater than one, it will not float, as water's density is one.

In order to make the athletic shoe to slide faster of a given surface you had to reduce the friction coefficient of the shoe with the surface.

One way to do that is to put some grease of the sole of the shoe, which undoubtedly would reduce the friction coefficient drastically and the shoe would slide more easily.

Also, if you make the sole smoother the shoe the friction coefficient would decrease and, again, the show would slide mor easily.