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.
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side of new cube = 4
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
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
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