Practice problems of the unit conversion - page 73 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: 2238
- Trunk
Calculate the length of the biggest fishing rod that can be inserted into the trunk of a car with dimensions 165 x 99 × 85 cm. - Project 62074
The 350 m long road is shown on the plan by a 3.5 cm long line. What is the scale of the project? - Deciliters 66324
We placed the largest possible lead cylinder in a 1-liter cube container. How many deciliters of water will now fit in the container? - Liters 44031
What is the width of a block with volume V = 600 liters, if a = 120cm, b = 50cm?
- Spherical 21373
The spoon has the shape of half a spherical surface with a radius of 50 mm. What volume of fluid does it fit when filled to the brim? - Container 18293
I poured ten full cups with a radius of 5 cm and 10 cm high into a container with a volume of 8 liters. How many liters are in the container? - Cylindrical 7942
The cylindrical container should have a volume of 1 liter, and its height will be 15 cm. What will be its average? - 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 - Trapezoidal 61231
The room has a trapezoidal floor plan; we need to polish it. The parallel sides in a trapezoid are 4,800 mm and 4,400 mm long, and the oblique sides are 4,600 mm and 5,100 mm long. There are two 900 mm wide doors in the room. One strip measures 250 cm and
- Determine 5
Determine the volume of an aquarium with these measurements: length = 78 cm ; width = 6 cm ; height = 43 cm using the formula V=lwh. - Vax candles
How much dm³ of wax do we need to produce 15 cube-shaped candles with dimensions of 8 cm, 8 cm, and 1 dm? - Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach? - Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach? - Half-filled
A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it?
- Aquarium
Try to estimate the weight of the water in an aquarium 50cm long and 30cm wide when poured to a height of 25cm. Find the weight of the aquarium's water. - Reservoir 3
How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet? - An oil
An oil drum is cut in half. One-half is used as a water trough. Use the dimensions, length 82cm, width 56cm, to estimate the capacity of the water trough in liters. - Excavation
Excavation for the base of the cottage has dimensions of 4.5 m x 3.24 m x 60 cm. The excavated soil will increase its volume by one-quarter. Calculate the volume of excavated soil. - Water reservoir
The water tank has a cuboid with edges a= 1 m, b=2 m, and c = 1 m. Calculate how many centimeters of water level falls if we fill fifteen 12 liters cans.
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