Unit conversion practice problems - page 106 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: 2387
- Rainfall
How many liters of water fell in a 32m long and 8m wide garden if 8mm of rain fell?
- The roof
The tower's roof has the shape of a regular quadrangular pyramid, the base edge of which is 11 m long, and the side wall of the animal with the base at an angle of 57°. Calculate how much roofing we need to cover the entire roof if we count on 15% waste.
- Diameter of a cylinder
The diameter of the cylinder is 42 cm. How many times does the cylinder turn on a 66 meters long track?
- Tent
Calculate how many liters of air will fit in the tent with a shield in the shape of an isosceles right triangle with legs r = 3 m long, the height = 1.5 m, and a side length d = 5 m.
- Rainfall
On Thursday, 1 cm of rainfall fell. How many liters of water fell into a rectangular garden with 22 m x 35 m dimensions?
- Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm.
- Isosceles trapezoid
The old father decided to change the top plate of an isosceles-like trapezoid, which has basic dimensions of 120 cm and 60 cm, and a shoulder that is 50 centimeters long. How much does it pay for a new plate and a square meter worth 17 euros?
- Cylinder height
Calculate the height of the cylinder and its surface is 2500 dm2, and the bases have a diameter of 5dm.
- Rain
Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained in the garden?
- Calculate 3060
Calculate the surface area of a pipe section if: outer diameter = 40 cm; length = 3m
- It is 2
It is 90 feet from home plate to the first base on a baseball diamond. What is the area of the baseball diamond in square yards?
- Trapezoidal 24731
Calculate how many candies fit in a box shaped like a 4-sided prism with a trapezoidal base with base dimensions of 20 cm and 3.2 cm. The distance between the bases is 50 mm. The container is 32 cm high, and 1 candy occupies 2.5 cm³ of volume.
- The pot
The diameter of the pot is 38 cm. The height is 30 cm. How many liters of water can fit in the pot?
- Diameter 7648
The mug has the shape of a cylinder with a height of 60.7 mm. There is two dl of water in it. If we dip a ball with a diameter of 40 cm into the water, the water will not overflow. What is the minimum diameter of the cup?
- Pool in litres
The pool is 3.5 meters wide, 6 meters long, and 1.60 meters high. Calculate the pool's volume in liters.
- Percitipation - meteo
Do you have any tips for calc precipitation on land? For example, on 2 ha falls to 5 mm, how many cubic meters is it?
- Crosswind
A plane is traveling 45 degrees N of E at 320 km/h when it comes across a current from S of E at 115 degrees of 20 km/h. What are the airplane's new course and speed?
- Temperature 7477
The pool with a length of l = 50 m and a width of s = 15 m has a depth of h1 = 1.2 m at the shallowest part of the wall. The depth then gradually increases to a depth of h2 = 1.5 m in the middle of the pool. = 4.5 m walls in the deepest part of the pool.
- Building base
Excavation for the building base is 350x600x26000. Calculate its volume in m³.
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