Unit conversion practice problems - page 73 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
- Cylinder can
The paint is sold in a cylinder-shaped can with a height of 24.5 cm and a diameter of 15 cm. A full can weighs 5.5 kg. How much does 1 liter of paint weigh?
- Bricks
How many bricks are needed for a wall 14.5 m long, 2 m high, and 45 cm thick if 285 bricks are needed for one m³ wall?
- The body
The body has 2 m, 2 dm, and 10 cm dimensions. It weighs 28 kg. What is its density?
- Bottle
A company wants to produce a bottle with a capacity of 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25 liters if the height of the cylinder must be five times the radius.
- Oak cuboid
Oak timber is rectangular shaped with 2m, 30 cm, and 15 cm dimensions. Its weight is 70 kg. Calculate the weight of 1 dm³ of timber.
- Glass door
What is the weight of the glass door panel 5 mm thick, height of 2.1 meters and a width of 65 cm, and one cubic decimeter of glass weighs 2.5 kg?
- Liters in cylinder
Determine the height at which level 18 liters of water in a cylindrical container having a bottom diameter 24 cm.
- Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out?
- Square
Calculate the area of the square shape of the isosceles triangle with the arms 50m and the base 60m. How many tiles are used to pave the square if the area of one tile is 25 dm²?
- Expressed 70094
The air distance between the cottages on the same shore of the lake, 2.7 km, is the distance expressed by a line length of 36 mm. Find the scale of the map.
- Distance 43431
On a map at a scale of 1:250,000, the line shows a distance of 15 km. How many cm does this line measure on the map?
- Indicated 20943
Calculate the actual distance on a map of 2 cities, which is indicated on the map by a line 6 cm long.
- Dimensions 83784
What is the density of a building board in the shape of a cuboid with dimensions 1 m, 20 cm, and 20 cm, if its mass is 84 kg?
- Hectoliters 83422
A barrel with a volume of 3 hectoliters was rolled into 375 bottles. Some had a volume of 0.7 l, some 1.0 liter. How many were there?
- Calculate 82808
Calculate the radius of an iron ball with a density of 7.8g/cm³ and a mass of 7kg.
- Dimensions 65094
The whirlpool has external dimensions of 2.29, 2.29 m, and 91 cm. The useful volume of water in it is 1514 liters. What volume of the whirlpool falls on the other parts?
- Calculate 64644
The aquarium is 5 dm long and 4 dm wide and contains 60 liters of water. A) calculate the height of the aquarium if the water reaches 5 cm below the edge B) calculate the total volume of the aquarium
- Plasticine 46461
How many grams of plasticine do we need to model a cube with an edge of 150 mm if 1 cm³ weighs 2.1 g?
- Cylinder 46101
Barell has a cylinder shape, a volume of 130 l, and a base radius of 30 cm. What is the height of the barrel?
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