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: 2215
- Brass ball
What is the weight of a hollow brass ball, the outer diameter of which is 16 cm and the wall thickness is 2 cm, while the density of brass is ϱ = 8.5 g - Pyramid of Giza
The Great Pyramid of Giza has the shape of a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t? - Concrete hatch
The concrete hatch for a round well has a diameter of 1300 mm and a thickness of 80 mm. Determine its weight in kg if the density of the concrete is 2545 kg/m3 - Swimming pool
The swimming pool has the shape of a block with dimensions of 70dm, 25m, and 200cm. How many hectoliters of water can fit into the pool? - Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water? - Iron ball
The iron ball weighs 100 kilograms. Calculate the volume, radius, and surface if the iron's density is h = 7.6g/cm³. - 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? - 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.
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