acertechiscool
acertechiscool acertechiscool
  • 23-04-2021
  • Mathematics
contestada

The dimensions of a box are x, 2x, and 3x. Each dimension is increased by 2. Calculate the volume of the box.

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sqdancefan
sqdancefan sqdancefan
  • 24-04-2021

9514 1404 393

Answer:

  6x^3 +22x^2 +24x +8

Step-by-step explanation:

The dimensions of the larger box are ...

  (x+2), (2x+2), and (3x+2)

The volume is the product of these dimensions.

  V = LWH

  V = (x+2)(2x+2)(3x+2) = (x +2)(6x^2 +10x +4)

  V = 6x^3 +22x^2 +24x +8

The volume of the box is 6x^3 +22x^2 +24x +8.

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