Unit conversion practice problems - page 77 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
- Cylindrical 7942
The cylindrical container should have a volume of 1 liter and a height of 15 cm. What will be its average height?
- Water level
In the pool, which is 15 m long, 6 m wide, and 2 m deep, the water level is 20 cm below the edge. How many hectoliters of water are in the pool?
- Vax candles
How much dm³ of wax do we need to produce 15 cube-shaped candles with 8 cm, 8 cm, and 1 dm dimensions?
- Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach?
- Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach?
- Half-filled
A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it?
- Aquarium
Try to estimate the weight of the water in an aquarium 50cm long and 30cm wide when poured to a height of 25cm. Find the weight of the aquarium's water.
- Reservoir 3
How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet?
- An oil
An oil drum is cut in half. One-half is used as a water trough. Use the dimensions, length 82cm, width 56cm, to estimate the capacity of the water trough in liters.
- Excavation
The excavation for the cottage's base measures 4.5 m x 3.24 m x 60 cm. The excavated soil will increase its volume by one-quarter. Calculate the volume of excavated soil.
- Measures 5579
The book measures 24 cm x 15 cm and is 22 mm thick. Find the package weight of 50 of these books if the paper density is 0.9g / cm3
- The railway
The railway line has a gradient of 12 per mille. How many meters will it ascend to a horizontal distance of 4 km?
- Calculate 64444
The length of the linden shadow is 429 cm. The length of the shadow meter is 78cm. Calculate the height of the linden.
- Shaped 82232
How many cubes with an edge of 0.2 dm fit into a box that is also shaped like a cube with an edge of 10 cm?
- Cube-shaped 57101
The cube-shaped box with a length of 20 dm is filled with sand. If 1 m³ of sand weighs 1.5 t, what is the weight of sand?
- Calculate 22533
Calculate the weight of the cube, which is made of wood with a density ρ = 0.725 g / cm, the edge of the cube is 32 cm,
- Calculate 21743
Calculate the block's volume in liters with edge lengths of 3dm, 15cm, and 120mm.
- Container 7939
What diameter will a 20 cm high cardboard juice container have to fit half a liter?
- Calculate 7246
The dice have a volume of 80 cm³. Calculate the edge size in mm.
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