Since the purpose of an ice cube is to keep a drink cold, is it better for

an ice cube to have a high volume or a low volume?

Shape
cube
s p h e r e
cylinder
Surface Area Formula
S.A.6s2 S . A .  4  r 2
S.A.2r2 2rh
Volume Formula
V s3
V  43  r 3
V r2h

The volume of an ice cube does not affect its ability to keep a drink cold. The purpose of an ice cube is to transfer its coldness to the drink, so the surface area of the ice cube is more important than its volume. A larger surface area allows for more contact with the drink, which results in faster cooling. Therefore, it is better for an ice cube to have a high surface area rather than a high volume.