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# 4cm cube is cut into 1 cm cubes. what is the surface area of

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Manager
Joined: 27 Sep 2006
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4cm cube is cut into 1 cm cubes. what is the surface area of [#permalink]  16 Nov 2006, 15:25
4cm cube is cut into 1 cm cubes. what is the surface area of the new cubes combined?

sa of cube = 6a^2
so 6*1*1 times 8 - (won't a 4cm sided cube yield 8 - 1cm sided cubes?) therefore 6*8 = 48

solution = 1*1*6*4*4*4
why?
Senior Manager
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4cm cube is 4*4*4 so will yield 4^3 or 64 * (1cm)cubes

Each 1cm cube has 6 faces with an area of 1cm^2 so has a total area of 6cm^2.

64*6cm^2 = 384cm^2
Manager
Joined: 27 Sep 2006
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great [#permalink]  16 Nov 2006, 15:52
thank you! i didn't think to involve volume, but makes perfect sense.
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Joined: 07 Jul 2004
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# of cubes = 4*4*4 = 64

Each cube has a surface area of 6. So In all, the area is 64*6 = 384
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