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

Respuesta :

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.

Answer Link

Otras preguntas

Who was the Baseball player who turned into a Christian Evangelist ?
James has a board that is 3/4 foot long. He wants to cut the board into pieces that are each 1/8 foot long. How many pieces can James cut from the board?
simplify the rational expression: 3/5n+3 + 3n/n+6
During industrialization, which led to an exploration of new economic theories?
Multiply the equation (y+5)^3
Mark the statement that is NOT true about the executive branch. The executive branch interprets the federal laws and upholds or negates them. The president is a
Aristotle A. wrote works praising one of the other philosophers who left no writings B. taught by asking questions C. analyzed how people used and could use log
what difficulties did the settlers in Jamestown and Plymouth have in common
how to draw a quadrilateral with no square corners
The population of Vietnam is approximately 4 times the population of Australia. The population of Brazil is approximately 8 times the population of Australia. T