Unit conversion practice problems - page 78 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
- Iron cube
Calculate the weight of a cube with an edge length of 15 cm made of iron, (its density is ρ = 7250 kg/m3)
- Thousand balls
We must create a thousand balls from a sphere with a diameter of 1 m. What will be their radius?
- Rainwater
If 6 mm of water rained on the garden with an area of 25 acres, how many 12-liter cans of water would we need to water this garden?
- Water reservoir
The water tank has a cuboid with edges a = 1 m, b = 2 m, and c = 1 m. If we fill fifteen 12-liter cans, how many centimeters of water will fall?
- Aquarium volume
The aquarium has a cuboid shape and dimensions a = 0.3 m, b = 0.85 m, c =?, V = ?. What volume has a body if, after dipping into the aquarium water level rises by 28 mm?
- Pot
Calculate the height of a 3-liter pot with a shaped cylinder with a diameter of 10 cm.
- Water level
How high is the water in the cylindrical barrel with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
- Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water?
- Measuring 2747
We poured 1 liter of water into an aquarium measuring 20 cm x 20 cm and 25 cm high. How high does the water in the aquarium reach?
- On the map
A line 1.5 cm long corresponds to a line 3 cm long on the map. What is the scale of the map?
- Calculate 47933
Calculate the weight of the steel roller if d = 2.4 cm, height v = 5.6 cm, density ρ = 8 g / cm³.
- Density 34471
Find the weight of a wooden cube with an edge of 3.5 dm if the wood's density is 0.7 g/cm³.
- Five-liter 11431
How many five-liter buckets will empty the pool measuring 2.4m and 2.8m, and 1.4m deep?
- Six-sevenths 7086
The tank is 3.3 m cube-shaped. If it is filled to six-sevenths of its volume, how many liters of water are in it?
- Dimensions 5996
How many cubes with an edge of 10 cm will fit into a block with dimensions of 2 dm, 3 dm, and 5 dm?
- Dimensions 4504
How to calculate how many cylinders up to 1m³ are needed? Dimensions 9.5 cm x 30 cm.
- Small density cube
Calculate the mass of a cube with an edge of 15 cm made of oak wood with a density of ρ = 800 kg/m³.
- The volume
The volume of the rotating cone is 376.8cm³. The height of this cone is one dm. Calculate the diameter of the cone base.
- Cylindrical tank
The cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder.
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