Click here to view the data on a spreadsheet. The ratios found show that doubling the size of a cube makes the surface area 4 times larger. Tripling the size of a cube makes the surface area 9 times larger. Also, doubling the size makes the cube's volume 8 times larger and tripling makes the volume 27 times larger. Surface area is a 2 dimensional measure so you would square 2 when doubling and square 3 when tripling.
Volume is a three dimensional measure so the doubling and tripling are cubed.
Click here to view a spreadsheet of the data with that information. Click here to view a spreadsheet of the data of doubling and tripling surface area and volume with a cylinder. After viewing the data for doubling and tripling both surface area and volume, a ratio pattern emerges.