Question 198016
To get a volume of 100 mm2, suppose I have a
box that is 10 mm high. Now suppose it has a square base
The area of this square base has to be {{{10}}} mm2
That means each side has to be {{{sqrt(10)}}} since
{{{sqrt(10)*sqrt(10) = 10}}}
To get the volume,
{{{sqrt(10)*sqrt(10)*10 = 100}}} mm3
Now the question is, How do I construct a side {{{sqrt(10)}}} mm
long? I know that a right triangle, with sides = {{{1}}} and {{{3}}}.
The diagonal is {{{sqrt(1^2 + 3^2)}}}, which  equals
{{{sqrt(10)}}}. Use that diagonal to make the sides of the base.