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

Which of these helps you understand what people are saying to you? A. Thinking about how you'll respond B. Looking away while they're speaking C. Thinking about
the sum of a product (-2)+(-2)+(-2)+(-2)
Mary Antin was a Jewish Russian immigrant whose father’s business had failed back home in Russia. After arriving in America, she worked hard to learn English an
My mother and _____ attend the same Bible class.
A bill is given a number read twice and sent to a standing committee. What does this describe
What is the height of a triangle if the area of it is 27 square feet and the base is 12 feet?
HELP ME PLEASE! AGH!
what does Tandem Repetitive DNA sequences mean
what force is required to accelerate a body with the mass of 15 kilograms at a rate of 8m/s2?
help on 2 pleeeeeaaassseee