Practice problems of the unit conversion - page 62 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 6989
The pool measures 4 m and 3 m, and 2.5 m. What height does the water in the pool reach if 25 m³ of water has been added? Round the result to centimeters. - Concrete box
The concrete box with walls thick 7 cm has the following external dimensions: length 1.8 m, width 44 cm, and height 46 cm. How many liters of soil can fit if I fill it to the brim? - Material 7608
The inner radius of the oven is r1 = 15cm the outer radius r2 = 20cm, the length of the oven is = 227cm. Can one person take it if it has a material density of 2.8 g / cm cubic? - Aquarium 5315
The aquarium, with a length - of 40 cm, width - of 24 cm, and height of 27 cm, is filled to 2/3. How much water do we need to add to be filled to 8/9? - Joanne 2
Joanne bought five fish. For fish to have enough space, they must have at least 30 liters of water. You know that the length is 5 dm and the width is 3 dm. Calculate the minimum height of the aquarium. - Bathtub
Kevin has a bathtub shaped like a block. The bathtub measures 70 cm long, 45 cm wide, and 50 cm high. Then the bathtub will be filled with clean water 3/5 of its height. The clean water needed is…. - Roof repair
We need 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick to repair the roof. How many euros will we pay for all boards if 1 m³ of boards costs 500 euros? - Cuboid - box
The box has the shape of a cuboid with dimensions of 5 cm and 30 mm. Calculate the box's height if the cuboid's volume is 0.60 dm³. Calculate the surface area of the box. (calculation of height from the volume, calculation of area from the formula, keep - Cone from cube
From a wooden block, 20 cm high was the turned largest possible cone. Calculate its weight if you know that the density of wood was 850 kg/m3 - The wall
We have to build a cuboid wall with dimensions based on 30 cm and 45 cm and a height of 3.25 meters. Calculate how many we need bricks if we spend 400 pieces of bricks to 1 m³ of the wall. - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Cone-shaped 82466
The cone-shaped glass has a volume of 2.5 dl and a diameter of 13 cm. How much cocktail is left in the glass if the level only reaches half the height of the glass? - Calculate 67794
Calculate the volume of the cuboid in the given unit if you know the lengths of its edges. A) a = 20 cm, b = 3 cm, c = 7 cm, (length) B) a = 10 mm, b = 8 mm, c = 9 mm, (ml) C) a = 30 cm, b = 5 cm, c = 8 cm, (l) D) a = 300 mm, b = 4 m, c = 7 dm, (hl) - Cylindrical 38791
The cylindrical barrel is 1.2 m high, and the diameter of its base is 0.6 m. How many hectoliters of water will fit in the barrel? What is the smallest amount of sheet metal needed for its production? (we count both bases) - Dimensions 33763
The pool has dimensions of 4.8 m and 65 dm. To what height is water filled in a pool if there is 1,029.6 hl of water in it? - Hectoliters 32941
Behind the house stands a barrel with 0.25 hectoliters of water. The father gradually takes 12 liters of fragile water from it for watering until the last 10 liters of water remain at the bottom. At most, how many full kegs could the father fill from this - Aquarium 7588
The aquarium has a length of 0.7m and a width of 25cm. What is its depth if it does not reach more than 87.5 liters of water? - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Rainfall
A rectangular garden of 25m in length and width 20m in width is filled with 4mm of water. Express by a fraction in basic form what part of the 60-hectolitre tank we would fill with this water. - Heavier 4553
What is the mass of a cube of cast iron with an edge length of 2.3 dm if we know that the mass of 1 dm³ of cast iron is 7.3 kg? Will the same size cube of cork be heavier if we know that the weight of 1 m³ of cork is 250 kg?
Do you have homework that you need help solving? Ask a question, and we will try to solve it.