Unit conversion - practice problems - page 3 of 127
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. Practice unit conversions in word problems!
Number of problems found: 2536
- Glass cleaner
A 2-pint bottle of glass cleaner costs $13.44. What is the price per fluid ounce?
- Two persons
Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train.
- Train same direction
Find the time taken by a train 170 m long, running at the speed of 83 km/h, to cross another train 180 m running at the speed of 65 km/h in the same direction.
- Bad weather
An aircraft was slowed down during a 600 km flight due to bad weather. Its average speed was reduced by 200 km/hr from its usual speed, and the flight time increased by 30 minutes. Find the scheduled duration of the flight.
- Rhombus 36
Rhombus ABCD with side 8 cm long has diagonal BD 11.3 cm long. Find angle DAB.
- A park on map
A park has an area of ⅙ mi². On a map, the park has an area of 1 ¼ cm². On the map, how many square centimeters represent 1 mi²?
- Water per day
Liam's goal is to drink 12 cups of water a day. So far, Liam has drank one-half gallon of water today. How much more water, in OUNCES, does Liam need to drink today to reach his goal of 12 cups of water per day?
- Grain storage
On their farm, Adam's family maintains a storage facility that can hold 19.2 cubic yards (yd3) of grain. Since 1 yard is approximately equal to 0.9144 m, this volume can be converted to m³.
- Nautical vs statue mile
A nautical mile is the unit of length used in sea and air navigation. A nautical mile is equal to 6,076 feet. What percent of a statue mile (5,280 ft) is a nautical mile?
- The playhouse
The drawings of the playhouse are made on a scale of 1:50. In the drawing, the length of the cottage is 4.5 cm. How long is the playhouse actually?
- ABCD on a map
Dinesh went from place A to place B and from there to place C. A is 7.5 km from B, and B is 12.7 km from C. Ayub went from place A to place D and from there to place C. D is 9.3 km from A, and C is 11.8 km from D. Who traveled more, and by how much?
- Mr. Lee
Mr. Lee has a rope. The total length of the rope is 5 meters. He cuts off 350 centimeters of rope to use in his garden and another 75 centimeters to hang a bird feeder. What is the length of the rope he has left in centimeters?
- Maria 6
Maria drank 3 liters of water last week. Her friend drank twice as much water as Maria. How many milliliters of water did they both drink?
- Saw a board
A board of 16 3-fourths inches is cut from a board that is 3 feet long. If the width of the saw cut is one-eighth inch, what is the length of the remaining piece?
- Write a blog
You spend 2 1/2 hours online. You spend 1/5 of that time writing a blog. How long do you spend writing that blog?
- Hoverboard
Adam lives in Podhradí, and his friend Marcel lives in Lhota. Lhota is 6 km from Podhradí. Adam travels the same distance on a hoverboard in 20 minutes as Marcel does in 25 minutes. They leave home simultaneously, drive towards each other, and meet in pre
- X-triangle
Find the length of the x segment in the given triangle drawings.
- Vegetable storage
To help vegetables stay fresh longer, Liam's family maintains storage near their home. The total volume of the root cellar is 737 cubic feet (ft³). Use the fact that 1 foot is approximately equal to 0.3048 m to convert this volume to m³. Round your answer
- The speed problem
Convert 540 meters/minute to kilometer/hour (m/min to kmph).
- Cosine - legs
Using the law of cosines, find the measurement of leg b if the givens are β=20°, a=10, and c=15.
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