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#1 2009-01-14 22:42:08
- MoyMarian
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- Registered: 2009-01-10
- Posts: 29
solid mensuration IV
a cube of ice of edge 4cm melts until it becomes a cube which is one-half as heavy as the original. find the dimensions of the new cube.
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#2 2009-01-15 02:02:49
- Jai Ganesh
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- Registered: 2005-06-28
- Posts: 46,415
Re: solid mensuration IV
Volume of the ice cube before melting = 4 x 4 x 4 = 64 cc
(cc = cubic centimeters)
Half the volume would be half the weight.
Hence, the volume of the new cube, that is, after melting = 32 cc
where V is the volume and a is each side of the cube.
Hence, the dimensions of the new cube would be
The dimensions would be
the unit being centimeters.
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