Rubik cube
The volume of the Rubik's cube below is 216 cm3. Find the volume of the each smaller cube.
Sol: Given that the volume of the Rubik cube is 216 cm3.
∴ Length of one edge of Rubik cube =
= 6 cm
In Rubik cube, 3 smaller cubes make one edge.
∴ Length of the edge of smaller cube =
= 2 cm
Volume of the smaller cube = 23
= 8 cm3
Alternate method:
Number of smaller cubes = 27
Volume of each smaller cube = 216/27
= 8 cm3