Practice problems of the unit conversion - page 103 of 113
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: 2252
- Trench
The trench is a four-sided prism. The cross-section has a trapezoidal shape with basements of 4m and 6m, and the length of the trench is 30m. What is the depth of the trench if we dig 60,000 l of soil? - Pool
Mr. Peter builds a pool shape of a four-sided prism with a rhombus base in the garden. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water consume Mr. Pe - Corresponding 83227
The 4m high column is a prism with a rhombus figure with an edge 80cm long and a corresponding height of 70cm. It is built of bricks. How many bricks are needed to build it if one brick has a volume of 1.4 cubic decimeters? - The spacecraft
The spacecraft spotted a radar device at an altitude angle alpha = 34 degrees 37 minutes and had a distance of u = 615km from Earth's observation point. Calculate the distance d of the spacecraft from Earth at the moment of observation. Earth is considere
- Circular 5129
When the runner goes around the circular stadium five times, he runs 157 km. What area does the stadium occupy? - Parallogram
The Parallelogram base is 24 cm and high at 10 cm. How many are such tiles required to cover a floor of an area of 1080 m²? - Cylinder-shaped 71384
My father installed a cylinder-shaped pool in the garden with a bottom diameter of 6 m and a height of 1.5 m. how many hectoliters of water can fit in the pool? How many m² of space must be cleaned after draining the pool? - Defensive 45341
The boys want to build a defensive wall out of the snow for the ballpark. They want it to be 5 meters long and 1.5 meters high. They can make and transfer 50 cm cubes from snow. How many such cubes must he make to build his wall? - Rectangle 7768
The base of a cuboid is a rectangle. The ratio of its length to width is 3:2. The length of the rectangle of the base is in the ratio of 4:5 to the height of the block. The sum of the lengths of all the edges of the block is 2.8m. Find: a) the surface of
- Railway
Between points A and B, whose horizontal distance is 1.5 km, the railway line has an 8 permille climb. Between points, B and C with a horizontal distance of 900 m are climbed 14 permille. Calculate differences in altitudes between points A and C. - Dimensions 30111
The hall has dimensions of 60m, 28m, and a height of 3m. How many hours will it take to paint it if it takes 3 minutes to paint 1 square meter? The walls and ceiling are painted, and the windows take up 1/3 of the total area that needs to be painted. - Cross-section 47131
The 5 m long bar has a cross-section of an equilateral triangle with a side of 35 mm. Calculate its volume - Tropical, mild and arctic
How many percent of the Earth's surface lies in the tropical, mild, and arctic ranges? The border between the ranges is the parallel 23°27' and 66°33'. - Cylindrical 7804
The garden children's pool has the shape of a cylinder with a base diameter of 3.2 m and a depth of 60 cm. The water reaches 10 cm below the top edge. How many m² of the surface of the cylindrical wall of the pool is above the water? Rounds to the whole m
- Describes 55223
The minute hand is 30 cm long. The hour hand is half as short as the minute hand. How big a track describes its endpoint in a week. - Cross-section 37443
What is the mass of an iron bar 1.5 m long, the cross-section of which is a rhombus with side a = 45 mm and a corresponding height of 40 mm? Iron density ρ = 7.8 g / cm³? What is the surface of the iron rod? - Dimensions 26401
How many square meters of wallpaper will we need to cover the walls of a room with dimensions of 3 m and 4 m if the room height is 2.5 m? A door with dimensions of 90 cm and 2 m leads to the room. There is one window 1 m wide and 1.5 m high. - Prism-shaped 78774
How many hectoliters of water are in a rectangular prism-shaped pool if the top is 6m wide, the bottom is 4m wide, the pool is 2m deep, and the pool is 12m long? - Quadrilateral 73034
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm.
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