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

May 21, 2017

No. The cube will sink.

#### Explanation:

The formula for density is given by

$\rho = \text{mass"/"volume}$

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

$\rho = \left(2 {\text{ g")/(1" cm"^3)=2 "g"/("cm}}^{3}\right)$

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

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