Unit conversion - problems
- Motion problem
From Bratislavy to Martina go car at speed 83 km/h. From Martina to Bratislavy go another car at speed 62 km/h. How many minutes before the meeting will be cars 21 km away?
Annual rainfall in our country are an average of 854 mm. How many m3 of water rains on average per hectare?
- Slope of track
Calculate the average slope of the rail tracks between Prievidza (309 m AMSL) and Bratislava (152 m AMSL), if the track is 158 km long.
- Built-up area
John build up area 4.3 x 8 = 34.4 m2 with building with a wall thickness 50 cm. How many centimeters would have to subtract from thickness of the walls that built-up area fell by 8%?
If you know that cos(α) = sin (-968°), what is the angle α?
- Descent of road
Road sign informs the gradient is 10.5%. Calculate the angle which average decreases.
- Temperature calculus
Calculate percentage of temperature increase if changed from -6 °C to 2 °C?
- Copper plate
Copper plate length 4.8 m and width 66 cm weighs 97.39 kg. What is the plate thick, if 1 m3 of copper weighs about 8700 kg?
- Chemical parison
The blown parison (with shape of a sphere) have a volume 1.3 liters. What is its surface?
- Pine wood
From a trunk of pine 6m long and 35 cm in diameter with a carved beam with a cross-section in the shape of a square so that the square had the greatest content area. Calculate the length of the sides of a square. Calculate the volume in cubic meters of lum
- Paper box
Calculate the consumption of paper on the box-shaped quadrangular prism with rhombic footstall, base edge a=6 cm and the adjacent base edges forms an angle alpha = 60 °. Box height is 10 cm. How many m2 of the paper consumed 100 such boxes?
Calculate length of the biggest fishing rod can be inserted into the trunk of a car with dimensions 162 x 70 × 59 cm?
- Ice cream in cone
In the ice cream cone with a diameter of 3.6 cm is 0.9 dl of ice cream. Calculate the depth of the cone.
- Water level
How high reaches the water in the cylindrical barell with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place.
- Dig water well
Mr. Zeman digging a well. Its diameter is 120 cm, and plans to 3.5 meters deep. How long (at least) must be a ladder, after which Mr. Zeman would have eventually come out?
The volume of tetrahedral prism is 2.43 m3. Base of prism is a parallelogram in which a side 2,5dm and height ha = 18cm. Calculate the height of the prism.
- Water well
Drilled well has a depth 20 meters and 0.1 meters radius. How many liters of water can fit into the well?
From the pump in the yard dripping water. Every drop is 1 ml. How many drops will be necessary before filling a bucket with a volume of 10 l? Calculate how long it will fulfill the bucket when drops fall each second.
Diameter of motocycle wheel is 63 cm. How many times rotates wheel on roand long 1 km?
Between points A, B, whose horizontal distance is 1.5 km railway line has 8promile climb. Between points B, C with horizontal distance of 900 m is climb 14promile. Calculate differences of altitudes between points A and C.