Question 923400
h, height
x, length of edge of square base
h=1+x, {{{h=x+1}}}



The area of all the surfaces is {{{4(hx)+x^2=4(x+1)x+x^2}}}; and the amount of this area is given:


{{{highlight_green(4x(x+1)+x^2=96)}}}.



STEPS
{{{4x^2+4x+x^2-96=0}}}
{{{5x^2+4x-96=0}}}
Discrm, 16+4*5*96=16+20*96=1936=44^2
{{{x=(-4+- 44)/(2*5)}}}
{{{x=40/10}}}
{{{highlight(x=4)}}} and this means {{{highlight(h=5)}}}.