Unit conversion practice problems - page 74 of 120
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: 2391
- Calculate 9981
The iron pipe has a length of 2m and a diameter of 4cm. If the density of iron is 7870 kg/m3, calculate its weight.
- Hemisphere-shaped 7829
The ice cream maker sold 6l of ice cream a day. How many hemisphere-shaped portions with a diameter of 6 cm could he make from the ice cream sold?
- Hectoliters 7665
Garden tank dimensions: length. ..4,6 meters, width. ..3,8 meters, depth. ..1.6 meters. How many hectoliters of water is in the tank when it is filled to 2/3?
- Swimming 6649
How long will the swimming pool be 20 m long, 12 m wide, and 2 m deep? Two inlets are used for filling, each filling nine hectoliters of water per minute.
- Block-shaped 6328
There are 20,000 liters of water in a block-shaped tank with 5 m and 4 m bottom dimensions. What is the water level?
- Cylinder-shaped 6293
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle?
- Copper plate
Copperplate length 3.2 m and width 50 cm weigh 55.42 kg. What is the plate thickness if 1 m³ of copper weighs about 8700 kg?
- Pyramid of Giza
The Great Pyramid of Giza is shaped like a regular quadrangular pyramid. The base edge is 227 m long, and the pyramid is 140 m high. What is the weight of the stone needed to build this pyramid if the weight of 1 m³ of stone is 2.5 t?
- Swimming pool
The swimming pool is shaped like a block and has dimensions of 70dm, 25m, and 200cm. How many hectoliters of water can fit into the pool?
- Three-quarters of its volume
The pool is a block shape with a length of 8m, a width of 5.3m, and a depth of 1.5m. If it is filled to three-quarters of its volume, how many hectoliters of water are in it?
- Tank
1080 hectoliters of water were flowed into a cuboid tank whose bottom dimensions are 9 m and 15 m. This filled 40% of the tank's volume. Calculate the tank's depth.
- Tray
If the water level in the tray shaped as a cuboid is 420 liters and the bottom dimensions are 120 cm and 70 cm, what height reaches the water level?
- Water reservoir
The cuboid reservoir contains 1900 hectoliters of water, and the water height is 2.7 m. Determine the bottom dimensions where one dimension is 2.2 m longer than the second.
- Tourist 57513
The tourist map has a scale of 1:40 000. Find the actual length of the trip, which is marked on the map by a 7 cm long line.
- Triangle 18923
The sticker is shaped like a triangle with a side 5.4 cm long and 3 cm high. Most of such stickers can be made of 1 m square paper. Thank you
- Plan scale
At what scale is the drawn plan of the building, where one side is 45 meters long, and the plan is expressed by a straight line 12 mm long?
- Dimension 54741
Column block shape dimension a = 25cm, b = 20cm, and volume 20dm³. Determine the height.
- Similarity 26441
How long a shadow casts a building 15 m high if the shadow of a meter rod is 90 cm? Sketch - similarity.
- Toothpaste 81127
How long will the roll of toothpaste be extruded from the tube if the volume of the toothpaste is 100 ml and the diameter of the opening is 8 mm?
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