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A cube-shaped box has a volume of 27 in.3 If the size of the box is increased, the volume, in cubic inches, of the box is modeled by the expression x + 27. If the volume is increased by 30 in.3, what is the maximum side length of the new box? Give your answer to the nearest hundredth of an inch.

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sqdancefan

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Answer:

  3.85 in

Step-by-step explanation:

If the volume is increased by x=30 in³, then the new volume is ...

  x +27 = 30 +27 = 57 . . . . in³

This is the cube of the side length, so the new side length is ...

  ∛57 ≈ 3.85 . . . in

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