Answer:
1.0cm
Step-by-step explanation:
The formula for calculating the volume of a cube is expressed as:

s is the side of one length of the cube
If the volume of the cube is 32 cubic centimeters
![\begin{gathered} 32=s^3_1 \\ s_1=\sqrt[3]{32} \\ s_(1=)3.18 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/dxjif9c75cnoy4r8dt8pryw31xw3md94h3.png)
For the cube with a volume of 11 cubic centimeters
![\begin{gathered} 11=s^3_2 \\ s_2=\sqrt[3]{11} \\ s_2=2.22 \end{gathered}](https://img.qammunity.org/2023/formulas/mathematics/college/og5szfr7472bmed0bkma7mra4pj09izrgx.png)
Take the difference between the edge of the cubes:
![\begin{gathered} d=s_1-s_2 \\ d=3.18-2.22 \\ d=0.956 \\ d\approx1.0\operatorname{cm} \end{gathered}]()
Hence the difference in the edge length of the cubes is approximately 1.0cm