By the definition, average density of a body is its mass divided by its volume. If any bodies is made from the same pure substance, their average density appears to be the same. This density is called density of this substance and is usually denoted as `rho.`

We know that...

## Unlock

This Answer NowStart your **48-hour free trial** to unlock this answer and thousands more. Enjoy eNotes ad-free and cancel anytime.

Already a member? Log in here.

By the definition, average density of a body is its mass divided by its volume. If any bodies is made from the same pure substance, their average density appears to be the same. This density is called density of this substance and is usually denoted as `rho.`

We know that for silver `rho = 9.32 g/(cm^3),` and the mass `m` of a cube is given. Then the volume `V` of the cube is equal to `m/rho approx 19.74 (cm^3).`

The question is about the length of the cube side, denote it `a` (cm). It is well-known fact that the volume of a cube is `a^3 cm^3.` This way we obtained an equation for `a,` `a^3 = V.` The solution is `a = root(3)(V),` numerically it is `root(3)(19.74) approx` **2.70 cm**. This is the answer.