A cube of edge k is divided into n equal cubes. Determine the edge of the new cube
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Edge of First cube = k
Volume = k^3
No. of smaller cube = n
Volume of each new cube = k^3 /n
Edge^3 = k^3 / n
=> Edge of new cube = k /(cube root n)
![edge \: of \: new \: cube \: = \frac{k}{ \sqrt[3]{n} }](https://tex.z-dn.net/?f=edge+%5C%3A+of+%5C%3A+new+%5C%3A+cube+%5C%3A+%3D+%5Cfrac%7Bk%7D%7B+%5Csqrt%5B3%5D%7Bn%7D+%7D+ "edge \: of \: new \: cube \: = \frac{k}{ \sqrt[3]{n} }")
Volume = k^3
No. of smaller cube = n
Volume of each new cube = k^3 /n
Edge^3 = k^3 / n
=> Edge of new cube = k /(cube root n)
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