Final answer:
The question involves physics concepts of density, mass, and volume to calculate the side length of a cube. The cube's side length can be determined by dividing the given mass by the nuclear density to find the volume and then taking the cube root of that volume.
Step-by-step explanation:
The subject of this question relates to determining the dimensions and characteristics of cubes based on their mass and density. This is typically a problem found in physics, where students are learning about the properties of matter and calculations involving volume and density.
To find the length of a side of a cube with a given mass and density, we would use the formula for density (density = mass / volume), with the volume being the cube of the side length for a cube (volume = side³).
Therefore, if we are given the density and mass of a cube, we can rearrange the density formula to solve for the volume, and then calculate the side length by taking the cube root of the volume.
For example, using the information provided in the question, where the density of nuclear matter is 2.3x10¹17 kg/m³ and the mass is 1.0 kg, we first calculate the volume (Volume = Mass / Density). Then we can determine the side length of the cube by taking the cube root of the volume (Side = √³(Volume)).