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The length of each side of a cube is increased by a factor of 6. What is the effect on the volume of the cube? A) The volume of the cube increases by a factor of 36. B) The volume of the cube increases by a factor of 64. C) The volume of the cube increases by a factor of 24. D) The volume of the cube increases by a factor of 216.

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Answer:

(D) factor 216

Step-by-step explanation:

The volume of a cube is proportional to the third power of its side. If its side is multiplied by 6, the volume will increase by a factor of the third power of 6, which is 216.

[tex]V = a^3\\V'=(6\cdota)^3 = 6^3\cdot a^3=216\cdot a[/tex]

Answer:

D) FACTOR OF 216

Step-by-step explanation: