Practice problems of the unit conversion - page 70 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
- Granite cube statue
What is the weight of a granite cube with an edge length of 75 cm if one m³ of granite weighs 2.7 tons? - Tank
To cuboid tank whose bottom has dimensions of 9 m and 15 m were flow 1080 hectoliters of water. This filled 40% of the tank volume. Calculate the depth of the tank. - Digging
A pit is dug in the shape of a cuboid with dimensions 10mX8mX3m. The earth taken out is spread evenly on a rectangular plot of land with dimensions of 40m X 30m. What is the increase in the level of the plot? - Pyramid a+h
Calculate the pyramid's volume and surface area with the edge and height a = 26 cm. h = 3 dm. - Tetrapack
How high should be the milk box in the shape of a prism with base dimensions 8 cm and 8.8 cm if its volume is 1 liter? - Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg? - 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? - 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? - Diameter 81003
The pot has a diameter of 24 cm and a height of 5 dm. How many liters of water are in the pot if it is half full? - Cylindrical 71714
How many hectoliters of water are in a cylindrical water tank with a base diameter of 3 meters and a depth of 60 cm? - Precipitation 66874
The total precipitation for one day reached 22mm. How many hectoliters of water have rained on a rectangular garden measuring 32m and 45m? - Barrel-shaped 21933
We have a barrel-shaped barrel that has a bottom diameter of 60 cm. How many cm will the water level rise if we add 50 liters of water to the barrel? - Cylinder 19723
Pool in the shape of a cylinder with a diameter of 10 meters and a height of 1m 80cm. How long will it be filled with a pipeline with a flow rate of 5,000 liters per hour? - Cuboid-shaped 19063
Will 600 liters of solution fit in a cuboid-shaped tank with bottom dimensions of 2.5m and 1m and a height of 3dm? - Measuring 16553
The tank has the shape of a block measuring 80 cm, 30 cm, and 20 cm. The oil level reaches 6 cm below the edge. Find the amount of oil in the tank in liters. - Calculate 16513
The conical funnel has a volume of 0.5 liters and a height of 7 cm. Calculate the radius of its upper edge. - Centimeter 8324
Calculate the radius of a sphere with a volume of 6.2 dm³. Round to the nearest centimeter. - Cylinder 5032
The tank has the shape of a rotating cylinder with a height of 10 m. The width of the level is 1 m, and the level is 20 cm below the top of the cylinder. How much diesel is in the tank? - Tourist 57513
The tourist map has a scale of 1:40 000. Find the actual length of the trip, which is marked on the map by a 7 cm long line.
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