Final answer:
To find the approximate side length of a cube with a known mass and density, you can rearrange the density formula to solve for the volume and then take the cube root of the volume to find the edge length.
Step-by-step explanation:
The density of a substance can be calculated by dividing its mass by its volume. The volume of a cube is calculated by cubing the edge length. Therefore, to find the approximate side length of a cube with a known mass and density, you can rearrange the density formula to solve for the volume and then take the cube root of the volume to find the edge length.
For example, if a cube has a mass of 1.0 kg and the density of nuclear matter (2.3x10^17 kg/m³), you can calculate the volume by dividing the mass by the density. Then, take the cube root of the volume to find the side length of the cube.
Side length = (volume)^(1/3) = (mass/density)^(1/3)