1.0cm
The formula for calculating the volume of a cube is expressed as:
[tex]V=s^3[/tex]s is the side of one length of the cube
If the volume of the cube is 32 cubic centimeters
[tex]\begin{gathered} 32=s^3_1 \\ s_1=\sqrt[3]{32} \\ s_{1=}3.18 \end{gathered}[/tex]For the cube with a volume of 11 cubic centimeters
[tex]\begin{gathered} 11=s^3_2 \\ s_2=\sqrt[3]{11} \\ s_2=2.22 \end{gathered}[/tex]Take the difference between the edge of the cubes:
[tex]\begin{gathered} d=s_1-s_2 \\ d=3.18-2.22 \\ d=0.956 \\ d\approx1.0\operatorname{cm} \end{gathered}[/tex]Hence the difference in the edge length of the cubes is approximately 1.0cm