Practice problems of the unit conversion - page 67 of 111
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: 2207
- 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. - 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. - Block-shaped 77124
The block-shaped pool, 50m long, 18m wide, and 2.5m deep, is filled 30cm below the edge. How many hectoliters can fit in a pool? - Aquarium 26311
The bottom of the aquarium measures 30 cm and 50 cm. To what height will the aquarium be filled if 60 liters of water are poured into it? - Calculate 22263
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim. - Cube-shaped 20193
The cube-shaped aquarium with an edge length of 40 cm is filled with 70% water. How many liters of water are in the aquarium, and how high does the water reach? - Millimeter 7269
The road is paved with 2500cm cubic cubes. Calculate the edge size to the nearest millimeter. - Approximately 6361
The glass paperweight has the face of a sphere with a radius of 4 cm. Estimate and then calculate its weight. The density of glass is approximately 3800 kg/m³. - Block-shaped 6276
288hl of water was filled into a block-shaped tank with bottom dimensions of 12 m and 6 m and a depth of 2 m. What percentage of the volume of the tank did the water occupy? - Bricks
How many bricks are needed for a wall 14.5 m long, 2 m high, and 45 cm thick if 285 bricks are needed for one m³ wall? - The body
The body has 2 m, 2 dm, and 10 cm dimensions. It weighs 28 kg. What is its density? - Milk cartons
How much paper do we need for 12 tetra packs with dimensions 6 cm, 11 cm, and 20 cm? Will 1 liter of milk fit in the box? - Oak cuboid
Oak timber is rectangular shaped with dimensions of 2m, 30 cm, and 15 cm. Its weight is 70 kg. Calculate the weight of 1 dm³ of timber. - Glass door
What is the weight of the glass door panel 5 mm thick, height of 2.1 meters and a width of 65 cm, and one cubic decimeter of glass weighs 2.5 kg? - Tray
What height reaches the water level in the tray shaped as a cuboid if it is 420 liters of water and the bottom dimensions are 120 cm and 70 cm? - Water
Into a full cylindrical tank high 3 m with a base radius of 2.5 m, we insert a cuboid with dimensions 1.7 m, 1.3 m, 1.9 m. How many liters of water will overflow out? - Distance 13311
On what scale is the map drawn? The actual distance of 1250 km is shown by a line 25 cm long.
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