Practice problems of the unit conversion - page 18 of 112
The International System of Units (SI) is the standard system of units used in most countries around the world. It is based on seven base units: the meter for length, the kilogram for mass, the second for time, the ampere for electric current, the kelvin for temperature, the mole for amount of substance, and the candela for luminous intensity. These units can be converted to other units using conversion factors, such as the relationship between meters and centimeters (1 meter = 100 centimeters). Other common SI unit conversions include:1 liter = 1000 milliliters
1 gram = 1000 milligrams
1 joule = 1 watt-second
1 newton = 1 kilogram-meter per second squared
In the SI system, units can be multiplied or divided by powers of ten to create larger or smaller units. These multiples are called prefixes. The most common prefixes and their meanings are:
mega- (M) = 1,000,000 (e.g. 1 megahertz = 1,000,000 hertz)
kilo- (k) = 1000 (e.g. 1 kilogram = 1000 grams)
centi- (c) = 0.01 (e.g. 1 centimeter = 0.01 meters)
milli- (m) = 0.001 (e.g. 1 milliliter = 0.001 liters)
micro- (µ) = 0.000001 (e.g. 1 microgram = 0.000001 grams)
nano- (n) = 0.000000001 (e.g. 1 nanosecond = 0.000000001 seconds)
It is important to note that, when using these prefixes, the prefix should be written before the unit symbol.
Number of problems found: 2238
- Two monuments
The distance between two historical monuments on a map with a scale of 1:500000 is 48 mm. Find the actual distance between these monuments in km. - Steps
Peter makes steps long 70 cm, John 45 cm long. After how many meters do their footsteps meet? - Rope
Peter has a long rope of 2 4/5 meters. Martin has a rope 20 cm longer. What length of ropes is achieved if the boys link ropes? - Drunk man
The drunk man has 2.6‰ of alcohol in his blood. How many grams of alcohol has in his blood if he has 5 kg of blood?
- Statuette 83001
The bronze figurine weighs 0.5 kg. Bronze is an alloy of tin and copper in a ratio of 1:4. How many grams of copper and how many grams of tin does the statuette contain? - Calculate 80367
Juraj is 173 cm tall, and his younger brother Filip is three times shorter. Calculate Philip's height in meters. - Minutes 80094
Five hundred liters of water will flow into the pool in 5 minutes, and 120 liters of water will flow out of it in 12 minutes. How many liters of water will be added in 1 hour? - Huddersfield 70164
Prague's direct distance to Huddersfield (United Kingdom) is 1680km. What is the map's scale, at which this distance is 84 cm? - Fertilizer 68694
0.6 l of fertilizer goes to 40 l of water. How much fertilizer should be put in per 10 liters of water?
- Underwater 59293
The diver dived into the water on 11/30, 7/15, and 5/12. How many minutes did he spend underwater in total? - Output 47613
Pump with an output of 3/8 hl of water in 1 min. How long does it take to fill a 3/4 cubic meter tank with water? - Comenius 46531
Teacher of the Nations "J. A. Comenius was born in MDXCII and died in MDCLXX. How many years did he live? How many years have passed since his death? - Consumption 44071
Calculate the electric motor's power if it works for 10 minutes, and the electricity meter measured the consumption of 500 Wh. - Probability 37381
The machine produces one part in 2 minutes. The probability that it is defective is 0.05. What probability will the machine produce exactly ten defective parts per shift (8 hours)?
- Minutes 29491
The car will drive 70km in 56 minutes. How many meters will he drive in half an hour? - Interval 25531
The period is between 8:15 and 9:05. The period is to be divided into six parts. How long will it take one interval per second? - Distance 22891
The cities of Košice and Prešov are 39.5 km apart. What will be their distance on a map with a scale of 1:5000000? - Liters 8126
At 23:45, the pump pumps 435.4 liters of blood. How many liters of blood does he pump per day? How many liters of blood does he pump in a week? - Electricity 7115
On Tuesday at 6 o'clock, the electricity supply was interrupted at 156 h. On which day (1 = Monday, ... 7 = Sunday) and at what time was the electricity supply resumed?
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