Practice problems of the unit conversion - page 56 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
- Foundations 25831
How many kilograms of cement are used to concrete the foundations under the machine if the concrete slab has the shape of a cuboid 4.6 m long, 2.7 m wide, and 45 cm high if 250 kg of cement is used per 1 m³? - P=2100kg/m3 8542
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg. ? - Diameter 23831
How often does a bicycle wheel with a diameter of 50 cm turn on a route 10 km long? The result round to an integer. - One-third 2872
The cycling racetrack has the shape of a circle with an area of 2 ha. How long will a cyclist drive one-third of a kilometer in a perimeter? - Minutes 38331
Two planes took off from Prague at one point. The first is flying north at a speed of 420 km/h, and the second is flying east at a speed of 560 km/h. How far apart will they be as the crow flies in 25 minutes of flight? - Argicultural field
The field has a rectangular shape with a width of 180 m and a circumference of 940 m. How many hectares of the acreage has a field? - Calculate 48613
Calculate the radius of the circle if its diameter is 16.2 cm. Express the result in meters. - Sprinkler 48513
The rotary sprinkler has a spray of 20 m. What area of land can it irrigate from one place? - Table
Find the table's circumference, where the long side is 1.28 meters, and the short side is 86 cm. - Diameter 82212
How many meters of copper wire with a diameter of d=3 mm will be produced from 60 kg of copper scrap if the specific gravity of copper is p=9g/cm³? - Understanding 81807
The aquarium is 0.7m long and 25cm wide. The battery is deep if it can hold no more than 87.5 liters of water. I need help understanding how to calculate this. - Measuring 69764
You need to count 3 liters of water for one fish in the aquarium. Jaroslav has an aquarium measuring 80 cm x 50 cm with a height of 45 cm. Determine the maximum number of fish Jaroslav can keep in this aquarium if the water level reaches 5 cm below the to - Four-fifths 7358
The rectangular pool with bottom dimensions of 12m and 25m is 200cm deep. The first faucet flows 2.4 hl per minute, the second 6 l per 1 second. How long will it take for the pool to be filled to four-fifths of its height? - A residential
A residential colony has a population of 5400, and 60 liters of water is required per person per day. The effective utilization of rainwater constructed a water reservoir measuring 48m × 27m × 25m to collect the rainwater. For how many days the water in t - Clocks
The length of the minute hand is 12 cm. What track in meters will its endpoint describe in a week? - Degrees to radians
Convert magnitude of the angle α = 502°47'25" to radians: - Wooden container
The locksmith should cover the cube-shaped wooden container with a metal sheet inside. The outer edge of the container is 54cm. The wall thickness is 25 mm. The container has no lid. Calculate. How many sheets will be needed to cover it? - Ice and water
We want to cover a rectangular rink with dimensions of 55 m and 25 m with a 4cm thick layer of ice. How many liters of water do we need if freezing water increases its volume by 10%? - Dimensions 83135
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths? - Approximately 44671
A granite monument in the shape of a pyramid with a rectangular base will be placed in the city park. The base dimensions are 60 cm and 110 cm, and the pyramid height is 220 cm. The density of granite is approximately 2800 kg/m³. Calculate the weight of t
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