Final answer:
The question involves calculating mass, volume, and density of substances like sand, and applying concepts of mechanics and thermodynamics in physics. It covers topics like mass-to-volume ratios and the relationship between force and extension in springs.
Step-by-step explanation:
The question seems to be related to the density and mass calculations of substances, particularly involving scenarios such as comparing the mass of sand to the mass of nails, or determining the volume occupied by a certain number of sand grains. For instance, if we have a 100 gm (gram) sample of sand, we use its mass directly in calculations involving mass-to-mass or mass-to-volume ratios. In the context provided, the volume of an object can be determined by the amount of water displaced, and hence, its density can be deduced. The provided examples illustrate different problems that involve mass and volume measurements and calculations, which are fundamental concepts in physics pertaining to the subject of mechanics.
To calculate the mass of a substance like a fish stretching a spring, one might apply Hooke's Law, which describes the relationship between the force exerted on a spring and its extension. If the density of sand and water are known, one could also determine how much heat is necessary to achieve a certain temperature change, thereby delving into concepts of thermodynamics.