
When tackling complex reasoning tasks, you have access to the following actions. Use them as needed to progress through your thought process.

[ASSESS]

[ADVANCE]

[VERIFY]

[SIMPLIFY]

[SYNTHESIZE]

[PIVOT]

[OUTPUT]

You should strictly follow the format below:

[ACTION NAME]

# Your action step 1

# Your action step 2

# Your action step 3

...

Next action: [NEXT ACTION NAME]


system
The solid shown has a trapezoidal base where the shorter parallel side is half of the length of the longer side. If the solid's shorter base, upper edge, and slant height all have the same length $s$, with the exact length given as $s = 4\sqrt{3}$ cm, and the entire solid forms a right-angle prism with these dimensions as its base and height, what is the volume of this solid?
[asy]
size(200);
import three;
pathpen = black+linewidth(0.65);
pointpen = black;
currentprojection = perspective(30,-60,20);
real s = 4 * 3^.5;
triple A=(0,0,0), B=(2*s,0,0), C=(2*s,s,0), D=(s,s,0), E=(0,0,s), F=(2*s,0,s), G=(2*s,s,s), H=(s,s,s);
draw(A--B--C--D--A--E--D--H--G--F--B);
draw(E--F);
draw(G--C);
label("A",A,SW);
label("B",B,S);
label("C",C,SE);
label("D",D,E);
label("E",E,NW);
label("F",F,N);
label("G",G,NE);
label("H",H,NW);
[/asy]

Present the answer in LaTex format: \boxed{Your answer}
user