# A solid cube of side 16 cm is cut into 64 cubes of equal volume. What will be the side of the new cube? Also, find the ratio between their surface

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The side will be 4 cm and the ratio of their total surface area would be 16:1.

Ratio of surface area = 1/16

explanation:-

Volume of big cube = a×a×a

=16×16×16

=4096

volume of small cube

= 1/64×4096

a×a×a=64

a×a×a=4×4×4

a=4

side=4

ratio of surface area:-

= 6×4×4 / 6×16×16

=1×4×4/1×16×16

=1×1×1/1×4×4

=1/16