Practice problems of the unit conversion - page 30 of 111
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: 2207
- Grams and kilos
1. Tunji weighs 67 kg 114 g, while Deji weighs 54kg 596g. What is the sum total of their weight? 2. Adamu is 2kg 324g lighter than Muazu; if Muazu weighs 49kg 158g, what is Adamu's weight? - Recommended: 81764
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le - Through 80963
The fire tank is filled with three inlets, each flowing 6 liters per second in 12 hours. How long will it take to fill if 8 liters per second flow through each of them? - Simultaneously 80154
A pedestrian and a cyclist set off simultaneously from two villages 24 km apart. The pedestrian walked at an average speed of 4 km/h and met the cyclist after ninety minutes of walking. What was the average speed of the cyclist? - Measured 74724
How long would a tourist walk the route if he measured 24.9 cm on a map with a scale of 1:25000? The marching speed is 4 km/h. - Cuboid-shaped 47321
The cuboid-shaped fire fighting tank is 6m long and twice as wide. What is the height of the tank if the firefighters fill the empty tank in 0.5 hours with a hose flow rate of 12 liters per second? - Two trains
The train runs at speed v1 = 72 km/h. The passenger sitting on the train observed that a train long l = 75m in 3 s passed on the other track in the opposite direction. Calculate the speed of this train. - Grandfather 9001
Grandfather left the house on his bicycle at 1 p.m. He drove to the pond and returned home at 3:20 p.m. There and back, he rode the same road across the plain. He stayed at the pond for 1 hour. How many minutes did it take him to get to the pond? - Kocourkov 7007
The train will run from Kockov to Drakov in 2 hours and 40 minutes, from Oslice to Kocourkov in 180 minutes, and from Kocourkov to Mokrov in 2 hours and 30 minutes. Which route will the train travel in the shortest and which in the longest time? - Twenty-fifths 4219
Mom bought 1 eighth of a kg of butter, 1 half of a kg of bread, 6 twenty-fifths of a kg of ham, and 3 tenths of a kg of cheese in the store. Express the weight of all ingredients in grams. Was the purchase heavier or lighter than 1 kg, and by how much? - AMSL and skiing
Tomas skis from point A (3200m above sea level) to place B. Hill has a 20% descent. The horizontal distance between the start and finish is 2,5km. At what altitude is point B? - Braking distance
The car travels at an average speed of 12 km/h and detects an obstacle 10 m in front of it. At 1 m in front of the obstacle, it already runs 2 km/h. What is the braking distance? What is the required deceleration for a stop: A) 1m B) 1s? - Degrees Fahrenheit
C= (5)/(9)(F−32) The equation above shows how temperature F, measured in degrees Fahrenheit, relates to temperature C, measured in degrees Celsius. Based on the equation, which of the following must be true? I. A temperature increase of 1 degree Fahrenhei - Two buses
The first bus runs for 15 minutes. The second bus runs after 21 minutes. Together they both leave at 7:00 on Monday. When and what day will they meet? - Deca-kilogram
70g of yeast is needed for 30 days of flour. How many dags of yeast are required for 1.5 kg of flour? (note: the decagram has the mark dag and not dkg - it would be a deca-kilogram) - Basic form
Expressed the ratios of values in the basic form: 0,5 t : 1,2 kg 200 l : 0,15 m³ 12 t : 3600 kg 500 kg : 2,5 t 0,9 kg : 500 g 3,6 m : 240 cm 1200 mm : 2,4 m 300 l : 0,3 m³ 6 min 30 s : 900 s - Raw meat
The school cafeteria prepares 490 servings of 50 g of boiled meat for one lunch. Meat loses 30% of its weight by cooking. How many kilograms of raw meat must the school canteen prepare for this lunch to cook? - Runner
Peter ran at a speed of 12.4 km/h. After 45 minutes of running, he had a hiatus. The track is 31 km long. How many kilometers is he still to run if he still runs at the same speed? - Speed of sound
The average speed of sound is 330 meters per second. Estimate how long it will take to hear the church bell 1 km away. Calculate the distance from what would hear sound after 10 seconds. - The cyclist
The cyclist went from village to town. The first half of the journey went at 20 km/h. The second half of the journey, which mostly fell, went at 39 km/h. All journeys took 88 minutes. Calculate the distance from the village to the town.
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