volume & length question

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volume & length question

Postby medic1 » Sat Jan 22, 2005 2:06 pm

Here is the problem, a lead cube (density = 11.3g/cm^3) is dropped into a granulated cylinder of water. the bottom of the meniscus reads 23.35cm^3. the cube weighs 97.02g.
what was the volume of water before the cube was added. my answer is 97.02/11.3g/cm^3 = 8.59cm^3 subtract that from 21.35 = 12.76cm^3. Now I need to know what is the length of one side of the cube in cm? so now I need to convert 8.59cm^3 to cm. How do I do that? or am I on the wrong track? I thought that for example 1cm^3 is = to 1cm on each side. The answers I have to choose from are 2.05cm, 2.24cm, 2.77cm, 6.34cm, or 10.05cm. any ideas?
medic1
 
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Postby Mike Wright » Fri Feb 11, 2005 10:02 pm

If the volume of the cube is 8.59cm^3, the length of each side will be the cube root of 8.59 or 2.05 to 2 decimal places. That's why it's called the cube root!
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Postby medic1 » Sat Feb 12, 2005 1:23 am

Thanks, I figured that out a while ago, at the time it didn't seem right.
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