Practice problems of the unit conversion - page 68 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
- Distance 3575
The distance between the two cities is 25km. This distance was drawn on the map by a line 5 cm long. What is the scale of the map? - Two places
The actual distance between the two places is 105 km. Find the scale of the map on which this distance is marked by a line 1.2 dm long. - 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 - Contained 46731
The diesel tank has the shape of a block measuring 4.5 m x 3.2 m. What was the level of the diesel if it contained 216 hl of diesel? - 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? - Measuring 35931
How long does it take to fill a pool measuring 6x4x1m at a flow rate of Q = 0.2 dm³ / s? - Calculate 31061
There are two hectoliters of water in the barrel, and it reaches a height of 125cm. Calculate the inside diameter of the barrel - Calculate 9981
The iron pipe has a length of 2m and a diameter of 4cm. If the density of iron is 7870 kg/m3, calculate its weight. - Hemisphere-shaped 7829
The ice cream maker sold 6l of ice cream a day. How many hemisphere-shaped portions with a diameter of 6 cm could he make from the ice cream sold? - Hectoliters 7665
Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3? - Swimming 6649
How long will the swimming pool be 20 m long, 12 m wide, and 2 m deep? Two inlets are used for filling, each filling nine hectoliters of water per minute. - Block-shaped 6328
There are 20,000 liters of water in a block-shaped tank with bottom dimensions of 5 m and 4 m. What is the water level? - Cylinder-shaped 6293
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle? - Copper plate
Copperplate length 3.2 m and width 50 cm weigh 55.42 kg. What is the plate thickness if 1 m³ of copper weighs about 8700 kg? - Three-quarters of its volume
The pool has a block shape with a length of 8m, a width of 5.3m, and a depth of 1.5m. How many hectoliters of water is in it if it is filled to three-quarters of its volume? - Winch
The steel rope has a diameter of 6mm and a length of 20m. We are winding on a drum width of 60 mm, starting diameter of 50 mm. What is the final diameter after winding? - Mass
The thickness of a metallic tube is 1cm, and its outer radius is 11cm. Find the mass of such a 1m long tube if the metal density is 7.5g per cubic cm. - Distance 3245
A map has a scale of 1:55,000. A line of 10 cm shows the distance between places A and B. How long is the distance in reality?
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