Question 960777
{{{v=xyz}}}


{{{2v=(x+k)(y+k)(z+k)}}}
More difficult this way, so instead choose a factor to increase each dimension the same amount, r.


{{{2v=(rx)(ry)(rz)}}}
{{{2v=xyz*r^3}}}
{{{r^3=2v/(xyz)}}}
{{{r^3=2v/v}}}
{{{r^3=2}}}
{{{r=root(3,2)}}}
Again, r here is a factor for each dimension for how many times to increase them; NOT radius.


Thinking about the two different interpretations again, they are not the same.  The intent of the description can very well be the ADDITION of a constant quantity to each dimension, and so the cubic expression using the three binomials can be the way to handle the question.  Solving generally would be difficult, so you could or should try the actual given values, and assign k as the unknown amount to increase each dimension.  Use then whatever polynomial function skills from College Algebra you are able.