No singe tool will do all four measurements.
ruler
You can use a measuring tape, a ruler, or a yardstick to measure your height.
Tape measure and centimetre.
Yarn , because that can rap around the cube OR you could use stringy ruler type thing
Meters or rarely centimeters.
Just use a tape measure or some other measuring tool.
A measuring tape or a laser distance measurer would be suitable tools to measure the height of a ceiling.
You can use a tape measure, a laser measure, or a yardstick to measure the height of a room. Simply extend the measuring tool from the floor to the ceiling, making sure to account for any obstructions like furniture or molding.
Caliper. Micrometer
The answer depends on whether you wish to measure its height, base sides or base area, its mass, its albedo or whatever. There is no single instrument which will serve in all cases.
meter