SOLUTION: can you help me solve this? im having a lot of trouble with it, A rectangle measures 6ft by 8ft by 2ft. explain whether doubling a side from 6ft to 12ft would double the volume of

Algebra ->  Volume -> SOLUTION: can you help me solve this? im having a lot of trouble with it, A rectangle measures 6ft by 8ft by 2ft. explain whether doubling a side from 6ft to 12ft would double the volume of       Log On


   

Question 409175: can you help me solve this? im having a lot of trouble with it, A rectangle measures 6ft by 8ft by 2ft. explain whether doubling a side from 6ft to 12ft would double the volume of the box.
Found 2 solutions by Jeef Gorrdon, richard1234:
Answer by Jeef Gorrdon(26) About Me  (Show Source):
You can put this solution on YOUR website!
Solved by pluggable solver: DESCRIBE a linear EQUATION: slope, intercepts, etc
Equation 4+x+%2B+62+y+=+8 describes a sloping line. For any
equation ax+by+c = 0, slope is -a%2Fb+=+-4%2F62.
  • X intercept is found by setting y to 0: ax+by=c becomes ax=c. that means that x = c/a. 8/4 = 2.
  • Y intercept is found by setting x to 0: the equation becomes by=c, and therefore y = c/b. Y intercept is 8/62 = 0.129032258064516.
  • Slope is -4/62 = -0.0645161290322581.
  • Equation in slope-intercept form: y=-0.0645161290322581*x+0.129032258064516.

Answer by richard1234(7193) About Me  (Show Source):
You can put this solution on YOUR website!
Yes, the volume of the box (not rectangle) is doubled. For any sides a,b,c, if the volume is abc and we replace a with 2a, the the volume is (2a)bc = 2(abc).