Practice problems of the unit conversion - page 107 of 113
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: 2246
- Round table tablecloth
The round table has an area of 50.24 dm². Calculate the circular tablecloth diameter if it extends beyond the table's edge by 30 cm. - Tower
How many m² of the copper plate should be replaced on the roof of the conical tower shape with a diameter 23 m, and the angle at the axial section's vertex is 119°? - An isosceles
An isosceles trapezoid has base angles of 50° each, and its bases are 20 cm and 30 cm. Compute its area. - Tetrahedral prism
Calculate the area and volume of a tetrahedral prism that has a base rhomboid shape, and its dimensions are: a = 12 cm, b = 70 mm, v_a = 6 cm, v_h = 1 dm.
- Quadrilateral 8060
The volume of the cuboid is 864 mm³. Its square shape has the same content as the base of a quadrilateral prism with the dimensions of the base 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Determine the surface areas of both - Degrees 70334
What is the height of a diamond with a side 6 cm long if the angle formed by the sides is 78 degrees and 10 '? - Calculate 82567
The volume of a cuboid with a square base is 64 cm3, and the body diagonal deviation from the base's plane is 45 degrees. Calculate its surface area. - Cross-section 4507
How much soil needs to be removed when digging a 200-meter long ditch whose cross-section is an isosceles trapezoid with an area of 4812.5 cm²? - Quadrilateral 30401
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; vt = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; vt = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2)
- Garden exchange
The garden has a rectangular trapezoid shape, the bases of which have dimensions of 60 m and 30 m and a vertical arm of 40 m. The owner exchanged this garden for a parallelogram, which is 7/9 of the area of a trapezoidal garden. What is the size of the ne - Trapezoid: 18703
In the ABCD trapezoid: | AD | = | CD | = | BC | a | AB | = | AC |. Determine the size of the delta angle. - Length 6235
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool? - Trapezoid MO
The rectangular trapezoid ABCD with the right angle at point B, |AC| = 12, |CD| = 8, diagonals are perpendicular to each other. Calculate the perimeter and area of the trapezoid. - Regular 5-gon
Calculate the area of the regular pentagon with side 16 cm.
- Deviation 70744
Calculate the volume and surface of the rotating cone if its height is 10 cm and the side has a deviation of 30 ° from the base plane. - Brass sphere
Find the weight of a brass ball with an outer radius of 12 cm and a wall thickness of 20 mm if the brass's density is 8.5 g/cm³. - My father
My father cut 78 slats on the fence. The shortest of them was 97 cm long, and the longer one was 102 cm long. What was the total length of the slats in cm? - Prism - box
The prism's base is a rectangle with a side of 7.5 cm and 12.5 cm diagonal. The volume of the prism is V = 0.9 dm³. Calculate the surface of the prism. - Octagonal prism vase
We can pour 0.7 l of water into an octagonal prism vase. The vase has the bottom has an area of 25 cm square and a thickness of 12 mm. What is the height of the vase?
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