Question 194846
    A cube has a volume of 64. Find the length of its diagonal
.
Let x = length of one side of cube
then
x^3 = 64
x = 4
.
If we let d = diagonal
The diagonal then is
{{{(2sqrt(2))^2 + 2^2 = d^2}}}
{{{8 + 4 = d^2}}}
{{{12 = d^2}}}
{{{sqrt(12) = d}}}
{{{2sqrt(3) = d}}}