(1) One way would be to have a stick, stuck vertically into the ground. Measure the length of the shadow and the length of the stick. The actual height of the stick will be a ratio of the shadow's length.
Then measure the length of the school's shadow. The height of the school in comparison with its shadow length will be same ratio as the height of the stick compared to its shadow length.
You could use a tape measure for this. And possibly a calculator, which will make the calculation easier than doing it by long arithmetic or mental arithmetic.
(2) Another way would be to use something that can tell you, from a short distance away from the school, the angle between the top of the school and the ground. A sextant can do this. It is more accurate than using a protractor. Using trigonometry and the distance from the building to where you are standing, you will be able to calculate the height of the school, because it will be at right angles to the line from you to the school. If you don't know trigonometry, method (1) will be easier.
You can use a measuring tape, a ruler, or a yardstick to measure your height.
Tape measure and centimetre.
No singe tool will do all four measurements.
Metres.
Use a tape measure and measure in metres. For greater precision, measure in centimetres.
I think that the most commonly used tool to measure the height of a cube is an everyday ruler.
ruler
You can use a measuring tape, a ruler, or a yardstick to measure your height.
Tape measure and centimetre.
No singe tool will do all four measurements.
Meters or rarely centimeters.
Metres.
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.
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