Question 1182252
<pre>
{{{drawing(400,4800/17,-.2,3.2,-.2,2.2,

line(0,.3923736055,0,1.607626394),
line(0,1.607626394,.3923736055,1.607626394),
line(.3923736055,1.607626394,.3923736055,2),
line(.3923736055,2,2.607626394,2),
line(2.607626394,2,2.607626394,1.607626394),
line(2.607626394,1.607626394,3,1.607626394),
line(3,1.607626394,3,.3923736055),
line(3,.3923736055,2.607626394,.3923736055),
line(2.607626394,.3923736055,2.607626394,0),
line(2.607626394,0,.3923736055,0),
line(0,.3923736055,0,.3923736055,.3923736055),
line(.3923736055,.3923736055,.3923736055,0),
line(0,.3923736055,.3923736055,.3923736055),
green(line(.3923736055,1.607626394,2.607626394,1.607626394),
line(2.607626394,1.607626394,2.607626394,.3923736055),
line(2.607626394,.3923736055, .3923736055,.3923736055),
line(.3923736055,.3923736055,.3923736055,1.607626394)),

locate(1.24,.54,3-2x), locate(.14,.54,x),
locate(.44,1.1,2-2x)
)}}} 

Volume = (length)(width){height)

{{{matrix(21,1,
     V = (3-2x)(2-2x)(x),
     V = (6-6x-4x+4x^2)(x),
     V = (6-10x+4x^2)(x),
     V = 6x-10x^2+4x^3,
     (dV)/(dx) = 6-20x+12x^2,
     6-20x+12x^2=0,
     12x^2-20x+6=0,
      6x^2-10x+3=0,

     x = (-(-10) +- sqrt( (-10)^2-4*(6)*(3) ))/(2*(6)), 
     x = (10 +- sqrt( 100-72 ))/(12),
     x = (10 +- sqrt(28))/(12),
     x = (10 +- sqrt(4*7))/(12),
     x = (10 +- 2sqrt(7))/(12),
     x = (2(5 +- sqrt(7)))/(12), 
     x = (5 +- sqrt(7))/(6),
matrix(1,4,use,the,""-"",as),
matrix(1,5,the,""+"",cuts,too,far),
     x = 0.3923747815,
     
   V = (3-2x)(2-2x)(x),
V = (3-2*0.3923747815)(2-2*0.3923747815)(0.3923747815),
V = matrix(1,2,1.056305895,in^3)


)}}}    

The nearest whole number is 1 cubic inch

Edwin</pre>