Write an expression to represent the total volume of two different sized boxes as a sum of cubes if one of the boxes has sides with a length of 1 foot and the other has sides with a length of x feet.
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OpenStudy (quickstudent):
This is not from my homework, I was just wanting an explanation of how to do this.
OpenStudy (anonymous):
\[1+x^3\] is my guess
OpenStudy (quickstudent):
Hmmm... any other guesses?
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@iambatman ?
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@Whitemonsterbunny17 ?
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@zepdrix ?
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@zaibali.qasmi ?
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@dan815 ?
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@study100 ?
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@KlOwNlOvE ?
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@midhun.madhu1987 ?
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@HELP!!!! ?
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@agreene ?
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@juanpabloJR ?
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@Mandre ?
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OpenStudy (quickstudent):
@jenniferjuice ?
zepdrix (zepdrix):
We're assuming that the box has square faces?
Meaning that the box is a cube?
Meaning that all the sides are the same length?
Then yes, I would agree with satellite.
Volume of the first box, \(\Large\rm v_1=1\cdot1\cdot1=1\)
Volume of the second box, \(\Large\rm v_2=x\cdot x\cdot x=x^3\)
Total volume being: \(\Large\rm v_1+v_2=1+x^3\)