Practice problems of the unit conversion - page 51 of 111
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: 2207
- Five-year-old 39051
Five-year-old Patrik got a tractor. The smaller wheel of the tractor has a circumference of 18 cm, and the giant wheel of the tractor has a circumference of 7 cm larger. Calculate how many times the larger tractor wheel turns on a 10 m track. - Circumference 5331
The largest linden in Bohemia is the Vejdová lime tree in the Orlické Mountains, with a circumference of 14 meters and 140 centimeters. What trunk circumference does this linden tree have in decimetres? - Bricks
Openings in perforated bricks occupy 10%, and brick has dimensions of 30 cm, 15 cm, and 7.5 cm. Calculate a) the weight of a perforated brick if you know that the density of the full brick material is p = 1800 kg/m³ (1.8 kg/dm³) b) the number of perforate - Lunch
Lunch is given to seniors from 12:15 to 12:40 during the Coronavirus pandemic. What angle will the minute hand of the clock describe during this time? - Time clock
What are the angle of the hour hand and the minute hand if it is 0:40? - Course 21753
The course is 80m long. What will be its length on the plan at a scale of 1: 500? (in cm) - Dimensions 14883
Žofka decided to wallpaper one side of her room. How long does he have to go to school if the dimensions are 3 m and 2.4 m? - Dimensions 8216
The living room floor has dimensions of 50dm and 4m. If we want to cover it around its entire perimeter, how many meters of wood siding do we have to buy? - Rectangular 2815
Calculate the actual proportions of the rectangular plot in meters, which has dimensions of 70 mm and 90 mm, on a 1: 2000 scale plan. - Map scale
The garden has on the plan a scale of 1:150, width 22 cm, and length 35 cm. What is the real area of the garden? - Dimensions 4142
The area is 5m x 59dm. How many boards will it need if one board has 30cm x 37 cm dimensions? - Dimensions 7706
Change both dimensions of the rectangle in a ratio of 9:4. Flood dimensions are 0.8 dm and 16 cm. What are the dimensions of the rectangle after the change? - Dimensions 7079
Zofia decided to wallpaper one wall of her room. How long does he have to go to school if the wall dimensions are 3m and 2.4m? - Department 3500
The city plan has a scale of 1:5 0000, which determines the actual dimensions of a department store that has a length of 18 mm and a width of 25 mm. - The sides
The sides of a rectangle are in a ratio of 2:3, and its perimeter is 1 1/4 inches. What are the lengths of its side? Draw it. - Radius 25211
The wheel has a radius of 31 cm. How many times does it turn if we ride 1,168 km? - Tree shadow 3
What is the diameter of a tree wrapped in a rope around 3m 9dm 7cm long? How big is its cross-sectional area? - Dimensions 67534
Peter has an aquarium at home in the shape of a cuboid with 6 x 3 dm bottom dimensions and a height of 4 dm. They filled the aquarium with water according to the seller's order, 5 cm below the edge. A) The maximum number of fish can be raised in it if 1 f - Water 66
Water flows from a tap into a rectangular tank that measures 64cm by 36cm by 45cm. At 8 p. m., it is 1/4 filled with water. At 9 p. m., it is filled with 69,120 cm³ of water. Find the volume of water that has flowed into the tank from 8 p. m. to 9 p. m. G - Scale plan
On a 1:150 scale plan, the garden is 20 cm wide and 30 cm long. What is the actual width and length of the garden? (in meters)
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