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.

9514 1404 393

  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

i'm assuming it's looking for the missing length, which should be 4cm

hope this !