Practice problems of the unit conversion - page 65 of 112
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: 2231
- Centimeters 82219
What is the height of a box whose base edges are 50 mm long and 0 full six dm if its volume is 120 cubic centimeters? - Cylinder-shaped 81766
The Novákov family bought a cylinder-shaped pool with a base radius of 200 cm and a volume of 31.4 hl. Could the grandson safely jump if he is 120 cm tall? - Block-shaped 81632
The block-shaped pool is 40 meters long and 18 meters wide. Ten thousand eight hundred hectoliters of water were poured into it. How high is the water in it (how deep is the pool)? - Determine 67764
The barrel filled with asphalt has a diameter of 60 cm and a height of 100 cm. The weight of the asphalt in it is 390 kg. Determine the density of the asphalt. - Mountain 64314
The hiker set out on a hike at 5 km/h. After 30 minutes, a cyclist on a mountain bike set off on the same route at 20 km/h. How many minutes will the cyclist overtake the tourist? - Measuring 45801
The aquarium has the shape of a block measuring 80 cm, 30 cm, and 20 cm. The water level reaches 6 cm below the upper edge. How many liters of water are in the aquarium? (1 liter = 1 dm3) - Diameter 41221
How many shots with a diameter of 2 mm can a gunsmith cast from 1 kg of lead? The density of lead is 11.4 g / cm3 - Block-shaped 19193
The pressure pump delivers two cubic meters of water to the block-shaped water tank in 1 minute. The tank has a 7 m and a width of 5 meters. How much water does it draw in 1 hour? How high does the water reach in the tank? - Block-shaped 17543
The block-shaped reservoir has 147 hl of water, which is 3.5 m long and 2.8 m wide. Calculate the height of the reservoir. - Dimensions 6631
In the toy factory, they produce dice in the shape of a cube with an edge of 3 cm from wooden prisms with dimensions of 3 cm, 3 cm, and 3 m. How many prisms do they need to make 1000 cubes? - Dimensions 6263
The closed petrol tank is a cuboid with dimensions of 80cm, 30cm, and 20cm. The petrol level reaches 6cm below the upper edge of the tank. Determine the amount of gasoline in the tank in liters for all possible, stable positions of the tank. - Dimensions 4552
The aquarium with bottom dimensions of 75 cm and 45 cm has a volume of 135 l. What is the area of areas that are wetted with water if the surface reaches halfway around the aquarium? - Cylindrical 3395
The cylindrical vase is 28 cm high. Its inner diameter d = 1.1 dm. How many liters of water will fit in it if the bottom thickness is 1.5 cm? - Concrete 3321
The water in the well is dropped by one ring; the ring has an inner diameter of 110 cm and a height of 80 cm. How much water is left in the well? The chutes are concrete rings forming the walls of the well. - Chimney and tree
Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long. - Distance 5773
The air distance from the hotel to the castle is 4.4 km. What is the map's scale on which this distance is shown by a line 4 cm long? - Unknown metal
The prism made of unknown metal has dimensions of 3 cm by 3 cm by 5 cm and a weight of 121 g. What metal is it? Write its chemical symbol. - Aquarium height
How high does the water in the aquarium reach if there are 36 liters of water in it? The length of the aquarium is 60 cm, and the width is 4 dm. - Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³. - The copper wire
The copper wire bundle with a diameter of 2.8mm weighs 5kg. How many meters of wire are bundled if 1m³ of copper weighs 8930kg?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.