AMC 12 2025b Problem 15

A container has a $1\times 1$ square bottom, a $3 \times {}3$ open square top, and four congruent trapezoidal sides, as shown. Starting when the container is empty, a hose that runs water at a constant rate takes $35$ minutes to fill the container up to the midline of the trapezoids.

/* Made by Mathemagician108 */
import graph3;
size(200);
real a = 1;
real d = 0.6;
real h = 0.9;
triple A1 = (a,0,0); triple B1 = (0,a,0); triple C1 = (-a,0,0); triple D1 = (0,-a,0);
triple A2 = (a+d,0,h); triple B2 = (0,a+d,h); triple C2 = (-(a+d),0,h); triple D2 = (0,-(a+d),h);
triple A3 = (a+2*d,0,2*h); triple B3 = (0,a+2*d,2*h); triple C3 = (-(a+2*d),0,2*h); triple D3 = (0,-(a+2*d),2*h);

path3 bottom = A1--B1--C1--D1--cycle;
path3 backright = A1--B1--B2--A2--cycle;
path3 backleft = B1--C1--C2--B2--cycle;
path3 frontleft = C1--D1--D3--C3--cycle;
path3 frontright = D1--A1--A3--D3--cycle;

defaultpen(1);
pen blue = rgb(202, 201, 255);
pen red = rgb(255, 164, 164);

// colored surfaces
draw(surface(bottom), emissive(gray));
draw(surface(backright), emissive(blue));
draw(surface(backleft), emissive(blue));
draw(surface(frontleft), emissive(red));
draw(surface(frontright), emissive(red));
// black outlines
draw(A1--D1--C1);
draw(A2--D2--C2);
draw(A3--D3--C3, linewidth(1.4));
draw((0.32,0.68,0)--B1--(-0.32,0.68,0));
draw((1.25,0.35,h)--B2--(-1.25,0.35,h));
draw(A3--B3--C3);
draw(A1--A3);
draw(B1--B3);
draw(C1--C3);
draw(D1--D3, linewidth(1.4));

currentprojection=perspective((0,-4,3));

How many more minutes will it take to fill the remainder of the container?

$\textbf{(A) } 70 \textbf{(B) } 85 \textbf{(C) } 90 \textbf{(D) } 95 \textbf{(E) } 105$