Unit conversion practice problems - page 81 of 120
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: 2391
- Water flow
How much water flows in a pipe with a diameter of 16 cm in 1 hour if the water velocity is 2.5 m/s?
- 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?
- Engine power
Calculate the engine power of a truck moving at a constant speed of v= 30 km/h on a road with a 5% gradient when the weight of the truck with the load m= 5000 kg!
- Slope of the pool
Calculate the slope (ratio rise:run) of the bottom of the swimming pool long 10 m. The water depth at the beginning of the pool is 0.96 m (for children), and the depth at the end is 1.86 m (for swimmers). Calculated slope write it as a percentage and also
- 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
A drilled well has a depth of 20 meters and a radius of 0.1 meters. How many liters of water can fit into the well?
- 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
- 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?
- Dimensions 80848
We want to cover a wall with dimensions of 4m x 250cm with square marble tiles with the largest possible dimensions of the sides of the tiles so that there are no losses caused, for example, by cutting them during tiling. How many tiles will we need for t
- The reservoir
The reservoir is a sphere with a diameter of 7.5 m. How many hectoliters can it hold at maximum capacity?
- 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.
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