Practice problems of the unit conversion - page 49 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
- Engine pulley
The engine has a 1460 rev/min (RPM). The disc diameter is 350 mm. What will be the peripheral disc speed in RPM? Pulleys on the engine have a diameter of 80mm, and a disc has a diameter of 160mm. - Renovation
Five doors with a width of 80 cm and a height of 2 m need to be sanded and wallpapered on both sides. One roll of wallpaper with wood decor measuring 80*1000cm costs CZK 66. How many roles will we need for the renovation? - Earth's diameter
The Earth's diameter on the equator is approximately 12750 km. How long does the Gripen fly over the Earth above the equator at 10 km if it is at an average speed of 1500 km/h? - Rectangular 3941
Petra invited her friends Olga and Pavel to sew. Olga sewed three tablecloths, Pavel 2 and Petra 5 rectangular napkins measuring 39 times 30 cm. Was it enough for them to decorate 15 meters of ribbon? - Painter 3
Dad wants to paint the wall high 250 cm, wide 230 cm with wallpaper. How many meters must he buy wallpaper if the wallpaper width is 60 cm? - Air pressure
The meteorological station measured the air pressure of 1060 hPa (hectopascals). In addition to measuring instruments, there is a residential house with a flat roof with dimensions of 10 m and 28 m. What pressure force in MN (meganewtons) from the air on - Approximately 4222
The equator is approximately 40,000 km long. What would be the gap between an imaginary hoop 40001 km long and the ground? Would a mouse crawl under it? - An architect
An architect makes a model of a new house. The model shows a tile patio in the backyard. In the model, each tile has a length of 1/2 inch and a width of 1/6 inch. The actual tiles have a length of 2/3 feet and a width of 2/9 feet. What is the ratio of the - Plot
The plot on which Mr. Kalous is to build a house has the shape of a rectangle. On a 1: 500 scale, its dimensions are 7cm and 5.5cm. Find out the dimensions of the plot. Calculate the parcel size. - Decimeters 55263
Mom wants to sew a tablecloth on a table measuring 75 × 110 cm so that it protrudes two decimeters over the edge on each side. She adds on a 20 cm reserve. How many laces to buy to sew it? - Smallest 44681
What is the smallest width of the pool to be divided without rest into equally wide tracks, either 80cm or 1m, or 120cm? - Circumference 7904
The rectangular plot has dimensions of 50 m and 100 meters. On the plain, its circumference is 60 cm. To what extent is the plan made? - Passenger 18
Passenger and freight trains are operated between stations I and II, where the distance between stations is 16 km. The speed of the passenger trains is 100km/h, and the speed of the freight trains is 60km/h for a single-line railway track. The waiting tim - Perimeter 27471
The Ferris wheel in London at a diameter of 135 meters, and one turn takes about 30 minutes. At what speed per second do the cabins move around the perimeter of the London London Eye? - Colorado
The state of Colorado has the shape of a rectangle. The map is sold on two posters. The first has 70 cm and 50 cm dimensions on a scale of 1:1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster? - Rectangular 8297
Peter has a step 50 cm long and his brother Juraj 80 cm. Both went around a rectangular course 25 m long and 15 meters wide. How many steps did Petr take than Juraj? - Traveling 5808
The diameter of the wheel is 56cm. How often does it turn in 5 minutes if traveling at 60km / h? - Hectare
The rectangular plot has a width of 2500 cm and is 0.065 km long. How much CZK will we pay for covering the land with a lawn at the price of CZK 3,500 per hectare? - Process 81358
Teo went around the pool twice. He took 160 steps in the process. He took 25 steps along the length. How much area does the pool take up, and how long is Tro's stride? 0.5m? - Fabric 29531
To sew a dress, you need 2 meters of fabric 150cm wide. How many meters of cloth do we need for the same dress if the fabric is only 90 cm wide?
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