gracylildonkey
gracylildonkey gracylildonkey
  • 25-06-2019
  • Mathematics
contestada

The volume of a cube with side length x inches is x^3 cubic inches. If a cube has volume 1000 cubic inches, what is its side length (in inches)?

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Luv2Teach
Luv2Teach Luv2Teach
  • 27-06-2019

Answer:

10"

Step-by-step explanation:

The volume for a cube is V = l × w × h

But since this is a cube, all the sides aree the same length, so we could rewrite this in terms of x as:

V = [tex]x^3[/tex]

If we know the volume to be 1000, we sub it in for V:

[tex]1000=x^3[/tex]

We "undo" a cube by taking the cubed root of both sides.  The cubd root of x cubed is just x, and the cubed root of 1000 is 10.  Therefore, x = 10

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