Question

How many small cubes of edge 3cm can be made from a large cube of edge 27 cm

Answer 1

see...
side of small cube=3cm
volume of small cube=(3)^3
=27cm^3
now,
side of large cube=27cm
volume of large cube=(27)^3
=19683cm^3
now,
no.of small cubes cut=volume of big cube/volume of small cube
=19683/27
=729.
Therefore,729 cubes of side 3cm can be cut from a big cube of side 27cm.
Hope this helps you.....