A large metal cube is melted, and then recast into 64 identical cubes.Find the atio of the total surface area of the small subes to that the large cube.
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2007-12-09 4:45 am
回答 (1)
2007-12-09 5:15 am
✔ 最佳答案
Let S be the side of the large metal cubethe surface area of the large metal cube = 6 x (S^2 ) = 6S^2
the volume of the small cube =S^3/64
the surface area of the small cube (S^3/64)^(1/3*2)(6) =6S^2/16
the total surface area of the small cubes to the large cube
= 64(6S^2)/16 : 6S^2
=4 (6S^2) :6S^2
=4:1 //
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