Unit conversion practice problems - page 99 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: 2388
- Angle's 7852
The hour and minute hands on the clock face make an alpha angle. If you know it's 10 hours and 12 minutes, what is the angle's size?
- Velocipedes
In the 19th century, bicycles had no chain drive, and the wheel axis connected the pedals directly. This wheel diameter gradually increased until the so-called high bikes (velocipedes) had a front-wheel diameter of up to 1.5 meters, while the rear wheel w
- A rectangular 7
A rectangular water tank has a square base of 90 cm on its side. If it is 300 cm high, how much water can it hold?
- Mats
How many m² of leatherette was used to produce five mats with dimensions of 2 m, 1 m, and 8 cm?
- Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained?
- Cone - side
If the cone's height is 125 mm and its side length is 17 cm, find its surface area and volume.
- Clock Tower
What angle is between the hands-on Clock Tower when it shows 17 hours and 35 minutes?
- Clocks
How long will a path of the end of the clock's minute-hand long 23 cm for 340 minutes? How long will we walk at the same time hour-hand?
- Tank diameter
A cylindrical tank has a volume of 60 hectoliters and is 2.5 meters deep. Calculate the tank diameter.
- An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter.
- Two vases
Michaela has two vases in her collection. The first vase has the shape of a cone with a base diameter of d = 20 cm; the second vase has the shape of a truncated cone with a lower base of d1 = 25 cm and a diameter of the upper base d2 = 15 cm. Which vase c
- Volume 3261
The volume of the square is 56l. The length is 10 dm, and the width is 2 dm. What is its height?
- Clock
What distance will pass the end of an 8 cm long hour hand for 15 minutes?
- Winch drum
Originally an empty winch drum with a diameter of 20 cm and a width of 30 cm on the rescue car, he started winding a rope with a thickness of 1 cm from edge to edge. The winch stopped after 80 turns. It remains to spin 3.54m of rope (without hook). How lo
- Vintner
How high can a vintner fill the keg with crushed red grapes if these grapes occupy a volume of 20 percent? The keg is cylindrical with a diameter of the base of 1 m and a volume of 9.42 hl. Start from the premise that says that fermentation will fill the
- Binibini
Binibini owns a triangular residential lot bounded by two roads intersecting at 70°. The sides of the lot along the road are 62m and 43m, respectively. Find the length of the fence needed to enclose the lot. (express answers to the nearest hundredths)
- Flower boxes
How many m² of 10mm thick boards are needed to make 12 flower boxes? The boxes' dimensions are 180, 150, and 1500 mm.
- Cardboard
How many m² of cardboard are needed to make the cuboid with dimensions 40 cm, 60 cm, and 20 cm?
- Aquarium
An aquarium is a rectangular box with a square base containing 76 liters of water. The length of the base edge is 42 cm. To what height does the water level rise?
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