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Mensuration prob #1

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by papgust » Tue Oct 06, 2009 9:46 pm
Three metal cubes with edges 6cm, 8cm and 10cm respectively are melted together and formed into a single cube. Find the side of the resulting cube.

Solution and explanation pls?
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by sunnyjohn » Tue Oct 06, 2009 11:17 pm
IMO: 12

volume of new cube = 10^3 + 8^3 +6^3


==> 2^3(5^3+4^3+3^3)

==> 2^3(216)

==> 2^3*6^3

==> 12^3

so side = 12
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by papgust » Wed Oct 07, 2009 10:38 pm
Thats right sunnyjohn. 12 is the right answer. Thanks!
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