Practice problems of the unit conversion - page 76 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
- Conva
How many liters of water fit into the shape of a cylinder with a bottom diameter of 20 cm and a height of 45 cm? - Cargo space
The truck's cargo space has dimensions a = 4.2 m, b = 1.9 m, and c = 8.1 dm. Calculate its volume. - Planet Earth
What is the weight of the planet Earth if its average density is ρ = 2.5 g/cm³? - Cylinder
The 1.8m cylinder contains 2000 liters of water. What is the area (in dm2) of this container is the water? - Cylinder:
Cylinder: calculate the height of a 3-liter cylindrical pot with a diameter of 10 cm. - Hectoliters
How many hectoliters of water fit into the cuboid tank with dimensions of a = 3.5 m, b = 2.5 m c = 1.4 m? - Water
In the garden with an area of 8 ares, rain 40hl of water. To what heights leveled water? - Water well
Drilled well has a depth of 20 meters and a 0.1 meters radius. How many liters of water can fit into the well? - Ice cream in cone
The ice cream cone with a diameter of 5.6 cm is 0.5 dl of ice cream. Calculate the depth of the cone. - Cubes 81088
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m? - Liters 27951
Water tank, r = 60cm, h = 90cm. How many liters of water can fit in it? - Inflating 22523
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating? - Length 7308
How many ml of water will fit in a cube with an edge length of 5 cm? - Aquarium
How many liters of water can fit in an aquarium measuring 30, 15, and 20 cm? - Surface and volume
Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm. - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Millimeters 30721
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial - Sunflower Field
The trapezoidal sunflower field is located between two parallel paths spaced 230 meters apart. The lengths of the parallel sides of the field are 255 m and 274 m. How many tons of sunflower will come from this field if the hectare yield is 2.25 tons? - The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir? - Surface of the cube
Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm3
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