How to adjust the width of the rectangle of a pgfplots figure?

Question

I know I can use pgfplotsset{widht=8cm} to adjust the width of whole figure, but I care more about the width of rectangle.

Here is my code:
documentclass[10pt]{standalone}

usepackage{pgfplots}

pgfplotsset{width=8cm,compat=newest}

begin{document}

begin{tikzpicture}

begin{axis}
addplot coordinates {
(0,0)
(1,1)
};
end{axis}
end{tikzpicture}

end{document}

Excelsior · Accepted Answer

As I mentioned in the comments, scale only axis=true only sets the length of the axis, not the whole picture.
documentclass[border=10pt]{standalone}

usepackage{pgfplots}
usetikzlibrary{calc, intersections}

pgfplotsset{compat=newest}

begin{document}
    
    begin{tikzpicture}
        
        begin{axis}[
                name=a,
                width=8cm,
                height=8cm,
                scale=1,
            ]
            addplot[
                blue,
                mark=*,
                fill=blue,
            ] coordinates {
                (0,0)
                (1,1)
            };
        end{axis}
    
    draw[orange, densely dashed] (0,-0.25) -- (8,-0.25);
    
        begin{axis}[
                at={($(a.south west) - (0,0.5cm)$)},
                anchor=north west,
                scale only axis=true,
                width=8cm,
                height=8cm,
            ]
            addplot[
                blue,
                mark=*,
                fill=blue,
            ] coordinates {
                (0,0)
                (1,1)
            };
        end{axis}
        
    end{tikzpicture}
    
end{document}

The orange line indicates a width of 8 cm.

How to adjust the width of the rectangle of a pgfplots figure?

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