Practice problems of the unit conversion - page 67 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: 2236
- Calculate 63764
A glass in the shape of a cylinder with a base diameter of 6 cm can hold 4dl of water. Calculate the height of the glass and its surface. - Cylinder 47923
The tank has the shape of a rotating cylinder with a base diameter d = 3.4 m and a height of 4.5 m. How many liters of water are in the tank if the tank is filled to 2/3? - Half-filled 47753
The shaped container with a bottom diameter of 25 cm and a height of 30 cm is half-filled with oil. How many liters of oil are in the container? Please round the result to three decimal places. - Approximately 27561
One cubic decimeter of bronze weighs approximately 8.7 kg. Find the ball's weight (diameter 32 cm), and round the result to kilograms. - Barrel-shaped 20903
The barrel-shaped barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill to 3/4 height? - Density 3961
The volume of the Sun is 1.4x10 per 18 km cubic, and the weight is 2x10 per 30 kg. What is the average density? (in kg/m cubic) - Raymond
Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50mm by 100mm. Therefore he needs to make the height of the Tetrapak. - Edges of the cuboid
Find the length of the edges of the cuboid, which has the following dimensions: width is 0.4 m; height is 5.8 dm, and the block can hold 81.2 liters of fluid. - Water cylinder
Zuzana poured 785 ml of water into a measuring cylinder with a base radius of 5 cm. The water in the cylinder reached a height of 2 cm from the upper edge. How tall is the cylinder? (π = 3.14) - Brick wall
What is the weight of a solid brick wall that is 30 cm wide, 4 m long, and 2 m high? The density of the brick is 1500 kg per cubic meter. - Bottle
A company wants to produce a bottle whose capacity is 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25litres if the height of the cylinder must be five times the radius. - Aluminum wire
Aluminum wire of 3 mm diameter has a total weight of 1909 kg and a density of 2700 kg/m³. How long is the wire bundle? - Water tank 2
The water tank cuboid is 12 meters long and 6.5 meters wide, and 1.2 meters high. How many hectoliters are in the tank when it is filled to 81%? - Concrete tank
How many m³ of concrete is in the tank shape of a cuboid with dimensions of 2000 cm and 5.6 meters, and 70 dm if the concrete takes up 3/7 of the tank? - Garden pool
Mr. Novak fills the garden pool (cylinder; diameter of 200 cm) with 31.4 hl of water. What is the depth of the pool when the water level is 10 cm below the upper edge of the pool? - Determine 82470
The school building casts a shadow 16 m long on the plane of the yard, and at the same time, a vertical meter pole casts a shadow 132 cm long. Determine the height of the building. - Dedicated 62673
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom? - Cube-shaped 81332
The gardener collects rainwater in a cube-shaped container with an edge length of 80 cm. How many 16-liter buckets will he fill with water from a full reservoir? - Cylindrical 46983
62.8 hl of water per hour flows through the pipe into an empty cylindrical tank with a bottom diameter of 8 m. In 4 hours, the tank will be filled to what height? - Hectoliters 39141
The children's pool has the shape of a cylinder with a bottom diameter of 6 m and a height of 60 cm. The water reaches one decimeter below the top of the pool. How many hectoliters of water is in the pool?
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