A cube is measure 1 centimeter on each side and has a mass of 2 grams. Will it float on water?

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Answer 1 · 2017-05-21T14:44:51

No. The cube will sink.

The formula for density is given by

#rho = "mass"/"volume"#

You were given a mass of 2 grams. If the side of one cube is 1 cm, then it's volume is

#V_"cube"="side"^3=(1" cm")^3#

Therefore, the density of the cube is

#rho=(2" g")/(1" cm"^3)=2 "g"/("cm"^3)#

The density of water is #1 "g"/("cm"^3)#

Because the density of the cube > the density of water, the cube will sink.