Question

How would I do this?

Answer 1

`6.2 g/cm^3`

Step-by-step explanation:

The following strategy can be applied:

• start with the aim: we need to find the density of the material. Density is defined as the ratio between mass and volume;
• we're given mass;
• we're missing volume;
• however, we know that the volume of a cube is equal to the cube of its side length.

All in all, we then obtain the following variables. Mass is equal to:

`m = 0.92 g`

The side length is equal to:

`a = 0.53 cm`

Then we can solve for the volume of this cube as:

`V = a^3`

The density equation becomes:

`d = (m)/(V) = (m)/(a^3)`

Substitute the given variables:

`d = (0.92 g)/((0.53 cm)^3) = 6.2 g/cm^3`