a solid cube of side 16 is cut into 8 small cubes of equal volume what will be the side of the new cube
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a solid cube of side 16 is cut into 8 small cubes of equal volume what will be the side of the new cube
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Answer:
8 units
Step-by-step explanation:
volume of cube = (side)^3
volume of the cube = (16)^3
assuming that side of the small cube is a
volume of 1 small cube= a × a× a
since the big cube is being cut into 8 small cubes the volume of the big cube must be equal to the volume of all those 8 small cubes.
so, 8(a×a×a) = 16×16×16
a^3 = 4096/8
=512= 8^3
a^3= 8^3
taking cube root on both sides
we get a= 8 units