a glass is partially filled with water. Five ice cubes are placed in the glass, causing the level of the water to reach the rim of the glass. Which of the following statments best explains the increase in water level?

A)The volume of the sumerged ice is equal to the volume of the water displaced.

B) The mass of the water in the glass is less then the mass of the ice.

C)The weight of the ice is less that the weight of the water in the glass.

D) The density of the water in the glss is greater then the density of the ice.

For Further Reading

No one has answered this question.

Well, well, well, let's have a laugh with this one, shall we?

I would go with option A) The volume of the submerged ice is equal to the volume of the water displaced. You see, those sneaky ice cubes may be trying to act all cool but when they join the party in the glass, they take up some space and displace the water. It's like when that one person comes to a party and takes the last slice of pizza, making the party feel fuller than it actually is. So, in this case, the ice cubes displace the same amount of water as their volume, causing the water level to rise all the way to the rim of the glass. Ice cubes, always the troublemakers!

The correct answer is A) The volume of the submerged ice is equal to the volume of the water displaced.

When the ice cubes are placed in the glass, they displace a certain volume of water equal to their own volume. As the ice melts, it turns into water, but the total volume of water remains the same. Therefore, the increase in water level is due to the volume of the submerged ice cubes being equal to the volume of water displaced.

To determine which statement best explains the increase in water level when the ice cubes are placed in the glass, let's examine the principles of buoyancy and Archimedes' principle.

According to Archimedes' principle, when an object is partially or completely submerged in a fluid, it experiences an upward buoyant force equal to the weight of the fluid displaced by the object.

In this case, the ice cubes placed in the glass displace a certain amount of water, causing the water level to rise. To understand which statement best explains the increase in water level, we need to consider the principles of mass, volume, weight, and density.

Statement A) The volume of the submerged ice is equal to the volume of the water displaced: This statement aligns with Archimedes' principle. When the ice cubes are submerged, they displace an amount of water equal to their own volume. Therefore, statement A is a valid explanation.

Statement B) The mass of the water in the glass is less than the mass of the ice: This statement does not address the increase in water level caused by the ice cubes. It focuses on the comparison of mass, which is not directly related to the water level change. Therefore, statement B is not a valid explanation.

Statement C) The weight of the ice is less than the weight of the water in the glass: This statement is also unrelated to the increase in water level. Weight is determined by mass and gravity, but it doesn't provide an explanation for the rise in water level. Therefore, statement C is not a valid explanation.

Statement D) The density of the water in the glass is greater than the density of the ice: This statement is not directly relevant to the increase in water level. Density alone cannot determine the change in water level due to the submerged ice. Therefore, statement D is not a valid explanation.

Based on our analysis, statement A) The volume of the submerged ice is equal to the volume of the water displaced, is the best explanation for the increase in water level when the ice cubes are placed in the glass.