Question

A cube measures 2.0 cm on each edge and has a mass of 64.7 g. Calculate the density of the material that composes the cube. (The volume of a cube is equal to the edge length cubed.)?

Answer 1

`"8.1 g/cm"^3`

Explanation:

Density is equal to mass divided by volume. You are given a mass of `64.7` grams. You can find the volume of the cube by doing height multiplied by width multiplied by depth.

Because all of the sides of a cube are the same length, the volume just ends up being `2^3`.

`("2 cm")^3="8 cm"^3`

Now plug both of those numbers into your density equation

`rho = m/V = "64.7 g"/"8 cm"^3 = "8.1 g/cm"^3`

Answer 2

Approximately `8.09 \ "g/cm"^3`.

Explanation:

Density is defined by the equation

`rho=m/V`

where `m` is the mass of the object, and `V` is the volume of the object.

We have a cube with sides `2 \ "cm"` and a mass of `64.7 \ "g"`. We know that the volume of a cube is `s^3`, where `s` is its side.

So, the volume of this cube is `(2 \ "cm")^3=8 \ "cm"^3`.

Now, we just plug in values into the density equation.

`rho=(64.7 \ "g")/(8 \ "cm"^3)`

`~~8.09 \ "g/cm"^3`