Final answer:
The student's question involves solving typical high school-level Mathematics problems associated with geometry, such as calculating surface areas, volumes, and understanding measurement uncertainties of various shapes like cylinders, cubes, and rectangular boxes.
Step-by-step explanation:
The student appears to be asking about different aspects of geometry related to surfaces, volumes, and dimensions of various shapes. These questions fall under the category of Mathematics, often encountered at the high school level. For instance, determining the surface area of the plastic part of a can involves calculating the areas of both its sides and its curved surface. Similarly, finding the side length of a 100-gram hollow cube constructed from aluminum foil with a given surface density requires the use of the formula for the surface area of a cube (6s²).
To determine the volume of a cylinder, the formula V = πr²h is used, where 'V' is the volume, 'π' is the constant (approximately 3.142), 'r' is the radius, and 'h' is the height. For a small rectangular box, the volume can be calculated by multiplying its length, width, and height. Additionally, to account for the uncertainty in measurement, the accuracy of the measuring device is considered, and an uncertainty range is provided for the volume calculation.