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: 2207
- 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. - 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? - 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. - 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) - 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? - 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? - 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? - 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). - Milimeters
The pool is 6 meters long and 3 meters wide, and the water in it is filled with water to a height of 1.7 m. When John jumped into it and completely submerged, the level had risen by 5.4 mm. How much weight does John when we know that one liter of the huma - Sand castles
Hana's sand castle measures 19 feet by 15 feet and has a perimeter of 68. Thomas's sand castle measures 8 yards by 6 yards. What is the difference between the two perimeters? - Poured liquid
If I pour 59ml of liquid into an area of 594 sq mm, how thick would the liquid be? - Map
Forest has an area of 36 ha. How much area is occupied by forest on the map at scale 1:500?
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