Unit conversion practice problems - page 98 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: 2388
- The aquarium
The aquarium has a capacity of 18 liters. When the square bottom is 28 2/3 cm long, what is its height?
- Garden
A Garden with an area of 800 square meters rained 3 mm of water. How many 10-liter cans of water are needed for the same irrigation?
- Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface?
- Rotating cone II
Calculate the area of the surface of a rotating cone with base radius r=15 cm and height h=13 cm.
- Calculate 5148
At a distance of 10 m from the river bank, they measured the base AB = 50 m parallel to the bank. Point C on the other bank of the river is visible from point A at an angle of 32°30' and from point B at an angle of 42°15'. Calculate the width of the river
- The conical
The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm³ of wax was needed to make it?
- Airport's 80482
The plane flew from airport m on a course of 132° to airport n, then from n to p on a course of 235°. The distance between the airport's mn is 380 km, np 284 km. What will be the return course to m, and what is the distance between the airport's pm?
- Calculate 9701
In the triangle, the side length AB = 6 cm, the height per side c = 5 cm, and the angle BCA = 35°. Calculate sides a b.
- Dimensions 79074
Calculate the surface area of a cuboid with dimensions 54.5cm, 12.7cm, and 32.3cm. Express the result in square dm.
- Cube-shaped 28101
How many square decimetres of sheet metal are needed for a cube-shaped tank, open at the top with an edge of 75 cm?
- Allan
Allan keeps tropical fish. His aquarium is 4 feet long, 1 foot wide, and 2 feet tall. Each fish needs at least 0.5ft³ of water. What is the maximum number of fish he can keep in the aquarium? Please show your solution. Please
- Density of the concrete
If the weight of the cuboid-shaped column is 200 kg, find the density of the concrete with dimensions 20 x 20 cm x 2 m.
- Rotating cone
Calculate the volume and the surface area of a rotating cone of base radius r = 2.3 dm and a height h = 46 mm.
- In the desert
A man wondering in the desert walks 5.7 miles in the direction S 26° W. He then turns 90° and walks 9 miles in the direction N 49° W. At that time, how far is he from his starting point, and what is his bearing from his starting point?
- The cosine law
Solve the unknown dimensions for the following triangle: Triangle ABC: Angle A=43 degrees, b=7.0cm, c=6.0cm Question 1. Angle B with units written as degrees Question 2. Angle C with units written as degrees Question 3. a, rounded to the nearest tenth of
- Sailboat
The 20 m long sailboat has an 8 m high mast in the middle of the deck. The top of the mast is fixed to the bow and stern with a steel cable. Determine how much cable is needed to secure the mast and what angle the cable will make with the ship's deck.
- Hourglass 83292
The hourglass ticks three times in 5 minutes. How many times do they spill in 2 hours?
- Area of rectangle
Calculate the rectangle area in square meters with dimensions a = 80dm and b = 160dm.
- Aircraft 25161
The average climb angle of the aircraft is 11 ° 20', and its average speed is 400 km/h. How long does it take to climb to a height of 3000m?
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