Practice problems of the unit conversion - page 78 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: 2238
- Cubes 81088
How many cubes with an edge of 1 cm fit into a cube with an edge of 1 m? - Liters 27951
Water tank, r = 60cm, h = 90cm. How many liters of water can fit in it? - Inflating 22523
The diameter of the ball is 65cm. What will be the volume of air in the ball after inflating? - Length 7308
How many ml of water will fit in a cube with an edge length of 5 cm?
- Aquarium
How many liters of water can fit in an aquarium measuring 30, 15, and 20 cm? - Surface and volume
Find the surface and volume of a cuboid whose dimensions are 1 m, 50 cm, and 6 dm. - Surface of the cylinder
Calculate the surface area of the cylinder when its volume is 45 l, and the base's perimeter is three times the height. - Millimeters 30721
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial - The reservoir
The reservoir has the shape of a sphere with a diameter of 7.5 m. How many hectoliters can max fit in a reservoir?
- Surface of the cube
Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm3 - Sunflower Field
The trapezoidal sunflower field is located between two parallel paths spaced 230 meters apart. The lengths of the parallel sides of the field are 255 m and 274 m. How many tons of sunflower will come from this field if the hectare yield is 2.25 tons? - Determine 40323
Determine the volume of the attic space 360 cm 620cm 450cm - Dimensions 80848
We want to cover a wall with dimensions of 4m x 250cm with square marble tiles with the largest possible dimensions of the sides of the tiles so that there are no losses caused, for example, by cutting them during tiling. How many tiles will we need for t - Clay
How many cubic centimeters of clay is in a pit of dimensions 4 m x 3 m x 3 m?
- Copper wire
What is the mass of 500 m of copper wire with a diameter of 1 mm, if ρ = 8.9 g/cm³? - Two cuboids
Find the volume of the cuboidal box with one edge: a) 1.4m and b) 2.1 dm. - Aquarium
The aquarium is a cube with an edge of 45 cm. How much water can fit in there? - Cylinder - area
The diameter of the cylinder is one-third the length of the height of the cylinder. Calculate the surface of the cylinder if its volume is 2 m³. - Elevation 80869
We can see the top of the tower standing on a plane from a certain point A at an elevation angle of 39° 25''. If we come towards its foot 50m closer to place B, we can see the top of the tower from it at an elevation angle of 56° 42''. How tall is the tow
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