Practice problems of the unit conversion - page 68 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
- Three-sided 24171
Find the area of the largest wall of a three-sided prism, with a height of 4 dm and an edge length of 5 cm and 6 cm. - Cylindrical 20803
The cylindrical container has a height of v = 85 cm. The diameter of the container is 8 cm. How many liters of water will fit in this container when it is half full? - Dimensions 15133
The aquarium has the dimensions a = 250 cm b = 50 cm c = 60 cm water is poured into the aquarium up to 45 cm. Do you calculate how many liters of water are in the aquarium? - A/Calculate 13571
The concrete flower pot has the shape of a cube with an edge of 45 cm, and the thickness of the walls and bottom is 4 cm. A/Calculate the clay volume in the flowerpot if it reaches 3cm below the rim. B/Calculate the weight of the flowerpot if the concrete - Largest 6886
There are two cubes. One has an edge of 9 dm and the second of 9 cm. How often does the largest cube have a larger volume than a smaller one? - Dimensions 6190
The juice box with a volume of 1 l has two dimensions, 6 cm and 165 mm. Calculate the third dimension of the box. - Cylindrical 5890
A cylindrical mug is packed in a 1-liter cube paper box. The mug is in close contact with all the walls of the cube. What volume is my mug? - Dimensions 3406
We poured 3 liters of water into an empty aquarium, with a bottom dimension of 30x30cm and a height of 25cm. What is the level? - Three-fifths 3174
The block-shaped pool is 8.5 m long, 4.3 m wide, and 1.5 m deep. How many hectoliters of water is in it when it is filled to three-fifths of the depth? - Beni has
Beni has a rectangular tub with a height of 50 cm, a width of 70 cm, and a length of 90 cm. He will fill the tub with water. The amount of water needed to fill 2/3 of Beni's tub is : - The cuboid
The cuboid is full to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid? - Water tank
What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top? - Copper wire
What is the weight of 1000 m copper wire with a diameter of 5 mm when metric density p = 8.8 g/cm³? - Swimming pool 4
The pool-shaped cuboid measuring 12.5 m × 640 cm at the bottom is 960hl water. To what height in meters reaches the water level? - Milk package
Milk is sold in a box with dimensions of 9.5 cm, 16.5 cm, and 6.5 cm. Determine the maximum amount of milk that can fit into a box. Coating thickness is negligible. - Aquarium II
Calculate how much glass we need to build an aquarium with a rectangular shape with a base 70 cm × 70 cm and a height of 70 cm, if the waste is 2%. The aquarium hasn't top glass. - Triangle 28611
The land has a triangle shape with sides of 300m, 200m, and 245m. Draw it on a scale of 1:5 000. - Distance 13311
On what scale is the map drawn? The actual distance of 1250 km is shown by a line 25 cm long. - Distance 3575
The distance between the two cities is 25km. This distance was drawn on the map by a line 5 cm long. What is the scale of the map? - Cube-shaped 81023
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water.
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