rwilliams5805 rwilliams5805
  • 02-09-2020
  • Mathematics
contestada

The length of each edge of a cube is x centimeters. If x is an integer, why can't the volume of the cube equal 15cm. Show work please

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jimthompson5910 jimthompson5910
  • 02-09-2020

Let's try some integer values of x to see what volumes we get

  • If x = 0, then x^3 = 0^3 = 0*0*0 = 0
  • If x = 1, then x^3 = 1^3 = 1*1*1 = 1
  • If x = 2, then x^3 = 2^3 = 2*2*2 = 8
  • If x = 3, then x^3 = 3^3 = 3*3*3 = 27

We do not get 15 as a result in that list above. So there are no integer solutions to x^3 = 15

In other words, the value [tex]\sqrt[3]{15}[/tex] is not an integer.

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