Afood company sells its corn flakes in boxes of two different sizes: the regular box and the family value box. for the family value box, the length, width, and height of the box have all been increased by 25% . by what percentage does the volume of the box increase from the regular box to the value box? round your answer to the nearest percent.

9514 1404 393

  95%

Step-by-step explanation:

The old volume is ...

  V = LWH

The new volume is ...

  V' = (1.25L)(1.25W)(1.25H) = 1.25³·LWH = 1.25³·V

  V' ≈ 1.953·V = (1 +95.3%)·V

The volume of the box increases by about 95% from the regular box.

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step-by-step explanation:

you didn't post any answer choices, so its not 100% clear what your teacher is looking for

however, log(15/7) is equivalent to log(15) - log(7)

i'm using the rule log(x/y) = log(x) - log(y)