Final answer:
In a hexagon vase filled with water, all sides at the same depth have equal pressure due to Pascal's principle, although the bottom has the highest pressure as it supports the weight of the fluid.
Step-by-step explanation:
The question is inquiring about the distribution of pressure in a hexagonal vase filled with water. According to the principles of fluid statics, in a container filled with fluid, the pressure at a specific depth is uniform in all directions. This can also be explained by Pascal's principle, which states that a change in pressure applied to an enclosed fluid is transmitted undiminished to every part of the fluid and to the walls of its container. Therefore, the pressure on all vertical sides of the hexagon will be equal if they are at the same depth. However, the pressure is greatest at the bottom of the container because it supports the entire weight of the fluid above it. Answer choice (C) All sides have equal pressure is the most accurate answer when considering the sides at the same depth levels, but it's important to note that the bottom experiences higher pressure since it supports the weight of the fluid.