Practice problems of the unit conversion - page 64 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
- Concrete 3321
The water in the well is dropped by one ring; the ring has an inner diameter of 110 cm and a height of 80 cm. How much water is left in the well? The chutes are concrete rings forming the walls of the well. - Measures 45301
The races run for 5 km. So far, eight circuits have passed. One circuit measures 400m. How many meters have they run, and how many meters do they have to reach the finish line? - Centimeters 12741
Two race cars passed the finish line at a speed of 216 km / h at a distance of 0.003 s. Express the loss of the second in centimeters. - Chimney and tree
Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long. - Unknown metal
The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol. - Aquarium height
How high does the water in the aquarium reach if there are 36 liters of water in it? The length of the aquarium is 60 cm, and the width is 4 dm. - Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³. - The copper wire
The copper wire bundle with a diameter of 2.8mm weighs 5kg. How many meters of wire are bundled if 1m³ of copper weighs 8930kg? - The aquarium
The aquarium is 120 cm long, 70 cm wide, and 96 cm high. How high does the water reach if we fill it with 168 liters? - Water in aquarium
The aquarium cuboid shape with a length of 25 cm and a width of 30 cm is 9 liters of water. Calculate the areas which are wetted with water. - Tank full
Two hl of water were poured into a block-shaped tank with dimensions of 450 mm and 600 mm and a height of 900 mm. How many liters of water need to be added to keep the tank full? - Aquarium 6
How high is the water level in the aquarium with a rectangular base of 40cm and 50cm if it is filled with 0,65hl of water? - Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Measuring 67484
We poured 3 liters of water into an empty aquarium measuring 30x20 cm and 25 cm high. What is the level? - Construction 27743
The length of the gutter is 2 m, and the diameter of the gutter is 0.4 m. It is necessary to add 7% of the material to the joints. Find the consumption of sheet metal for the gutter construction. - Millimeters 25051
The juice is sold in cans with a radius of 30 mm and a height of 11 cm. There are 0.25 liters of juice in the cans. How many millimeters below the can lid is the level? - Cylindrical 21123
When the body was immersed in a cylindrical vessel filled with water, the water level in the vessel rose by 28 mm. Calculate the volume of the immersed body if you know that the diameter of the bottom of the container is 8 cm. - Diameters 15683
How many ball shots with diameters of 2 mm can be made of 1 kg of special metal alloy with a density of r = 7550 kg/m³? - Hectoliters 7174
Calculate how many hectoliters of water are in a fire tank with dimensions of 7 m and 6.5 m if it is 2 m deep and the water reaches 50 cm below the edge. - Volume 6409
The tank has a volume of 1 km cubic. Water flows out of it at a rate of 1 l / s. How long will it be empty? Thank you, we do not know what to do.
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