##### After you carefully lower each cube into the water of its own cylinder, what will the new water leve

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Suppose you have two 100- graduated cylinders. In each cylinder, there is 50.0 of water. You also have two cubes: one is lead, and the other is aluminum. Each cube measures 1.7 on each side. After you carefully lower each cube into the water of its own cylinder, what will the new water level be in the cylinder with lead cube?

After you carefully lower each cube into the water of its own cylinder, what will the new water level be in the cylinder with aluminum cube?

Aug 31st, 2015

You are missing units in your question. I am assuming it is 100mL grad cylinders with 50mL of water, and the cubes measure 1.7cm.

This question relates to volumes and water displacements. Whenever you submerge any material, by Archimedes' principle, the volume of water displaced is equal to the volume of the object. So, in this problem, we need to calculate the volume of each cube. Since they are identical cubes, they both have masses of side^3, or 1.7*1.7*1.7 = 4.9cm^3.

Therefore, the amount of water displaced will be 4.9cm^3 (but we need to convert this to mL. The conversion rate is 1cm^3 = 1mL), so the amount of water displaced is 4.9mL, and the new level of water would be 54.9mL

Note that this does not depend on the object! It could be aluminum, lead, or any other object, as long as they have the same value, the displaced water will be the same

Please let me know if you need any clarification. Always glad to help!
Aug 31st, 2015

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Aug 31st, 2015
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Aug 31st, 2015
Dec 10th, 2016
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