Practice problems of the unit conversion - page 84 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: 2253
- Trevor
Trevor wishes to tile the floor of his bathroom. The bathroom is rectangular and is 4.2m long and 3.3m wide. The tiles are 30cm by 30cm. Calculate the cost to tile the floor if each tile costs 72 cents. - Cablecar
Funicular on Petrin (Prague) was 408 meters long and overcame the difference of 106 meters in altitude. Calculate the angle of the climb. - Road - permille
A 5 km long road begins at an altitude 500 meters above sea level and ends at an altitude of 521 ASL. How many permille road rises? - SAS triangle
The triangle has two sides, long 7 and 19, and makes included angle 110°42'. Calculate the area of this triangle.
- Dimensions 82604
1 kg of cubed sugar consists of 840 cubes with an edge of 1.1 cm. Determine the sugar's density and the box's dimensions if the cubes are lined up in seven rows of nine cubes each. How many square meters of cardboard are needed to make 3000 boxes? - Trolleybus
Trolleybus line No. 206 measured 24 km. If the trolley bus goes faster by 5 km/h, the way there and back would be shorter by 33 minutes. Calculate the trolley bus speed and the time it takes for a return trip. - Vertically 82162
The pole is stuck vertically into the ground. The protruding length is 1m. What is the length of the shadow cast when the sun is just 50° above the horizon? - Standing 22821
The heating plant sees the observer standing 26 m from the bottom of the chimney and sees the top at an angle of 67 °. How high is the chimney of the heating plant? - Measuring 8310
Miša called up photos from birthdays measuring 10 * 15 cm. Calculate the bulletin board area, which will cover 35 photos. The images overlap on a total area of 352 cm square.
- Calculated 6054
The children will make paper kites in the club. They have calculated that they will need 12 square meters of paper in the store. They have a 125 cm wide bundle of paper. How many meters of the bundle do they need to buy? - Seeds
The field has a rectangular shape with dimensions of 128 m and 350 m. How many kg of seed is needed for sowing if the one m² will consume 25 g of seeds? - Right angled triangle 3
Side b = 1.5, hypotenuse angle A = 70 degrees, Angle B = 20 degrees. Find the length of its unknown sides. - Hectoliters 22383
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - Should 27591
How many liters of water must be poured into a pool 25m long, 800cm wide, and 20m deep? The pool should be filled to 3/4 of its depth. How many euros will you pay for pool tiling, and a square meter of tiling costs 20 euros?
- Coefficient 82566
What is the maximum angle at which the tram can go downhill to still be able to stop? The coefficient of shear friction is f =0.15. - Isosceles 81130
The angle at the apex of an isosceles triangle is 78°. Base 28.5cm. Shoulder length? - Opposite 78434
We see the tree on the opposite bank of the river at an angle of 15° from a distance of 41m from the river bank. From the bank of the river, we can see at an angle of 31°. How tall is the tree? - Inclination 43321
What percentage of the gradient should be indicated on the mark if the angle of inclination of the road is 6 ° 25'? - Flower bed
The park has a rectangular flower bed with dimensions of 3.2m and 1.5m. How many rose bushes will we plant in the flower bed if 20 dm² are needed for one bush?
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