Ice displacing water question, - really bad

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In summary, the conversation discusses a homework problem involving a rectangular block of ice floating in seawater. The question asks for the height of the ice above the water level, and there is confusion over the calculation method. The correct solution involves finding the submerged volume of the ice and using it to determine the remaining volume above the water, from which the height can be calculated. The conversation also touches on the use of units, with the reminder to keep all measurements consistent.
  • #1
mujadeo
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ice displacing water question, --need help really bad

Homework Statement


A rectangular block of ice 6 m on each side and 1.1 m thick floats in seawater. The density of the seawater is 1025 kg/m3. The density of ice is 917 kg/m3.

How high does the top of the ice block float above the water level?

please help!




Homework Equations





The Attempt at a Solution


1.1 x 917/1025 m = 984 cm (the amount of water displaced).
So, the ice sticks out of the water 1100-984 = 116cm = 1.16m

this is wrong though. sum1 please help!
 
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  • #2
1 m = 100 cm.

You need to use the volume of the ice in your calculation, not just its thickness.
 
Last edited:
  • #3
(1.1 x 6 x 6) x 917/1025 m = 35.428cm (the amount of water displaced).
So, the ice sticks out of the water 1100-35.428 = 1064.572cm = 1.064m

still wrong though
?
 
  • #4
mujadeo said:
(1.1 x 6 x 6) x 917/1025 m = 35.428cm (the amount of water displaced).
So, the ice sticks out of the water 1100-35.428 = 1064.572cm = 1.064m

still wrong though
?

Why are you saying this is in cm? The original dimensions were given in meters (at least they were in your original post).
So, the ice sticks out of the water 1100-35.428 = 1064.572cm = 1.064m
Again, you can't just use the thickness of the ice. How can you subtract a volume from a length? That makes no sense. Draw a diagram, it might help. Once you find the submerged volume, you can find the volume of the ice remaining above the water (since you know the entire volume of the ice). Then you can find the height.

1.1 m DOES NOT equal 1100 cm. Don't bother changing things to cm. Why don't you want to just leave it in meters?
 
Last edited:

1. How does ice displace water?

Ice displaces water because it is less dense than water. This means that for the same volume, ice weighs less than water, causing it to rise to the surface.

2. Why does ice displace water?

Ice displaces water due to the unique properties of water and ice. Water is one of the few substances where the solid form (ice) is less dense than the liquid form. This is because the molecules in ice are arranged in a more open structure, allowing them to spread out and take up more volume.

3. How does the displacement of ice impact water levels?

When ice displaces water, it causes the water level to rise slightly. This is because the volume of the ice that is above the water level is equal to the volume of water that it displaces. However, when the ice melts, the water level will return to its original position.

4. Can ice displace other liquids besides water?

Yes, ice can displace other liquids that are less dense than it. However, it is most commonly seen in water due to its unique properties. For example, ice will also displace alcohol or oil, but not mercury as it is more dense than ice.

5. How does ice displacement affect buoyancy?

Ice displacement affects buoyancy by increasing it. When an object is placed in water, it will displace a volume of water equal to its own volume. When ice is added to the water, it will displace an additional volume of water, making the object more buoyant and causing it to float higher in the water.

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