Practice problems of the unit conversion - page 53 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: 2215
- Clocks 5511
What angle do the clocks make at 4:30? - Strawberries 66884
Marta and Alice bought their children strawberries. They ate most of them, each making pulp from the remaining strawberries. Marta filled her entire cube-shaped container with dimensions 5.2cm, 1dm, and 8.3cm; Alice had a cube-shaped container with an edg - Measuring 36483
Dominik teaches his kitten to go to the cat toilet for litter. He needs to fill the toilet halfway, but he needs to know how many bales of litter to buy. Please advise him if you know that the toilet has a bottom measuring 0.43 m and 3.5 dm and is 11 cm d - Dimensions 81607
On a 1:150000 scale map, what will be the dimensions of a strip of the forest whose actual length is 6 km and actual width is 900 meters? - Transporting 17603
The ferry transporting people across the river has a transport area of 17mx25m. How many people can carry a maximum of 50 people per 1 person? - Centimeters 14013
On the wall, a meter long and v meters high, the door is b centimeters high and d centimeters wide. Please find the general area of this wall. - Treadmill 70904
The runner circled the track three times. If he went around it once more, he would run one kilometer. What is the radius of the treadmill? - Premiere 6693
How often does a bike with a 100cm premiere turn on a 24 km long track? - Plan scale
The actual width of the room is 66 dm, and the width in the plan is 4.4 cm. What scale corresponds to the plan? - Represents 32931
Jeníček will go on vacation with his parents and go by boat for a certain part of the journey. He is interested in how many nautical miles they will sail if their route represents by a line 7.4 cm long on a 1:25,000 scale map. (1 nautical mile = 1,850 m) - The crane
The construction crane has a 20m long arm. What construction area in ares can it handle from this crane if it rotates around its axis? - A bicycle
A bicycle wheel has a diameter of 63 cm. Calculate how many times the wheel turns round in traveling 19.8 km. - Pulley
On wheels with a diameter of 40 cm is fixed rope with the load. Calculate how far the load is lifted when the wheel turns seven times. - Efficiency 35023
The cellar, which has a floor area of 50 m2, 3 m below ambient level, was flooded with water to a height of 80 cm. How long does it take for a pump with a power input of 1 kW and an efficiency of 75% (η = 0.75) to drain the water? - Block-shaped 42481
A block-shaped pool that is 25 m long, 12 m wide, and 180 cm deep is to be filled with draft so that the water level is 20 cm below the edge. How long will it take to fill the pool if we use 2 pumps, each with a "power" of 125 l/min? - Rectangular 24321
The rectangular garden on the 1:1000 scale plan is 10 cm by 15 cm. What is the perimeter of the garden? - Grandmother's 7339
How many meters of fencing should be purchased if the grandmother's garden has the shape of a rectangle measuring 16m and 210dm? - Circumference 62124
The wheel circumference of the truck is 2 meters. The car covered a distance of 20km. How many times did the wheel have to turn? - Freezer
The freezer has the shape of a cuboid with internal dimensions of 12 cm, 10 cm, and 30 cm. A layer of ice 23 mm thick was formed on the freezer's inner walls (and on the opening). How many liters of water will drain if we dispose of the freezer? - Cuboid 5
Calculate the mass of the cuboid with dimensions of 12 cm, 0.8 dm, and 100 mm made from spruce wood (density = 550 kg/m³).
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