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IF ANSWER IS RIGHT I WILL MARK BRAINLIEST The length of one side, s, of a shipping box is s ( x ) =cube root of 2x , where x is the volume of the box in cubic inches. A manufacturer needs the volume of the box to be between 108 in.3 and 256 in.3. What are the minimum and maximum possible lengths of s?

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mhanifa

Answer:

  • 6 in and 8 in

Step-by-step explanation:

Given

The length of the side:

  • s = ∛2x

Volume of the box:

  • x

The volume is between 108 in³ and 256 in³:

  • ∛(2*108) ≤ s ≤ ∛(2*256)
  • ∛216 ≤ s ≤ ∛512
  • 6 ≤ s ≤ 8

As above, the minimum length is 6 in and maximum length 8 in

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