Question

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 1

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