Final answer:
The volume of a cube is determined by the formula V = (s)³, and by multiplying length times width times depth for other containers.
Step-by-step explanation:
The question seeks the standard form polynomial representing the volume of a shipping container. To find the volume of a cube, one would use the formula V = (s)³, where 's' is the length of a side of the cube. In the case of a sphere, the volume is represented by V = 4/3 (pi) (r)³, whilst the surface area is calculated using 4 (pi) (r)².
Applying these formulas to the information provided, if a cube of polystyrene measuring 10 cm per side is partially submerged, the full volume of the cube would be V = (10 cm)³ = 1000 cm³. However, for a shipping container with dimensions given in dm (decimeters), the volume is found by multiplying the length (l), width (w), and depth (d), resulting in V = l x w x d. An example provided is 13.44 dm x 5.920 dm x 2.54 dm, which equals 202.09459 dmg³, rounded to 202 dm³ or 202 liters.