The surface area to volume ratio of shapes For two masses the same, the volumes will also be equal. Let the volume = 1000 units (chosen for convenience) Sphere volume 4/3πr r r r = 3√ 238.73 = Surface area of this sphere = 4πr Therefore surface area to volume ratio for sphere = 483.6/1000 = 0.484 (3 sig figs) Cube volume = d Cube side 'd' = 10 Surface area = 6 x d Therefore surface area to volume ratio for cube = 600/1000 = 0.600 (3 sig figs) |