Excavated Cube

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\documentclass{article}
\usepackage{tikz}
\usepackage{tikz-3dplot}
\usepackage[active,tightpage]{preview}
\PreviewEnvironment{tikzpicture}
\setlength\PreviewBorder{0.125pt}
%
% File name: excavated-cube.tex
% Description: 
% A geometric representation of an excavated cube is shown.
% 
% Date of creation: September, 23rd, 2021.
% Date of last modification: October, 9th, 2022.
% Author: Efraín Soto Apolinar.
% https://www.aprendematematicas.org.mx/author/efrain-soto-apolinar/instructing-courses/
% Source: page 86 of the 
% Glosario Ilustrado de Matem\'aticas Escolares.
% https://tinyurl.com/5udm2ufy
%
% Terms of use:
% According to TikZ.net
% https://creativecommons.org/licenses/by-nc-sa/4.0/
% Your commitment to the terms of use is greatly appreciated.
%
\begin{document}
\tdplotsetmaincoords{80}{115}
%
\begin{tikzpicture}[tdplot_main_coords]
    % Change the number {\escala}{##} to scale the figure up or down.
    \pgfmathsetmacro{\escala}{3.25}
    \pgfmathsetmacro{\a}{\escala}
    \pgfmathsetmacro{\d}{\a * (3 / 8)}
    % Coordenadas de los vértices
    \coordinate(0) at (0,0,0);
    \coordinate(1) at (\a,0,0);
    \coordinate(2) at (\a,\a,0);
    \coordinate(3) at (0,\a,0);
    \coordinate(4) at (0,0,\a);
    \coordinate(5) at (\a,0,\a);
    \coordinate(6) at (\a,\a,\a);
    \coordinate(7) at (0,\a,\a);
 
 
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