A Rubik's cube of edge 3 cm is formed with 27 identical cubes. Find the edge of each identical cube.

Answer

1 cm

Explanation

Edge of the Rubik's cube `=3 cm`
Volume of Rubik's cube `=3^3cu.cm=27cu.cm`
Let the edge of each identical cube be 'a' cm.
Number of identical cubes `=27`
Volume of each identical cube `=a^3`

`=("Volume of Rubik's cube)/("Number of identical cubes")=(27)/(27)=1`
`a^3=1^3rArra=1`