The solid shown has a square base of side length s. The upper edge is parallel to the base and has length 2s. All other edges have length s. Given that s=62, what is the volume of the solid?
[asy]
import three;
size(170);
pathpen = black+linewidth(0.65);
pointpen = black;
currentprojection = perspective(30,-20,10);
real s = 6 * 2^.5;
triple A=(0,0,0),B=(s,0,0),C=(s,s,0),D=(0,s,0),E=(-s/2,s/2,6),F=(3*s/2,s/2,6);
draw(F--B--C--F--E--A--B);
draw(A--D--E, dashed);
draw(D--C, dashed);
label("2s", (s/2, s/2, 6), N);
label("s", (s/2, 0, 0), SW);
[/asy] geometry3D geometryprismpyramidgeometric transformationreflectionrotation