Unit conversion - practice problems - page 8 of 127
Number of problems found: 2536
- Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is it when the water reaches 10 cm below the edge? State the result in centimeters and round to the nearest whole number. - On a bicycle 5
Klára left Hořické náměstí on her bicycle and rode to Hradec Králové at an average speed of 20 km/h. Jenda left the same square on his bicycle 15 minutes after Klára left and moved in the same direction as Klára at an average speed of 30 km/h. How long di - Alice 2
Alice decided to plant geraniums in the spring. She bought one fifty-liter package of soil and also cuboid-shaped boxes with bottom dimensions of 1 m and 15 cm and a height of 17 cm. She wants to fill the boxes with soil only to a height of 2 cm from the - Rhombus - diagonals
Rhombus ABCD has side a = 80 cm and side b = 50 cm. Diagonals u1 and u2 make an angle of 60 degrees with each other. Calculate the area of the rhombus. - Tractor 18
A tractor pulls four seeders, each 18/5 meters wide. The tractor moves at a speed of 4.5 km/h during sowing. How many hectares of field will the tractor driver sow in 7.5 hours? - We are delayed
The train had to travel the distance from A to B at an average speed of 56km/h. After a 1.5 hour journey from station A, the train stopped for 30 minutes. To reach station B in the specified time, he had to travel the remaining distance at an average spee - Hectoliters - tank
A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectoliters of water. How many square meters of sheet metal are needed to make it? We calculate if 2% of the surfaces are for joints and waste.
- Fuel and oil ratio 2T
Add 4 liters of gasoline with oil in a ratio of 33:1. How much oil is needed? - Graduation of the track
The gradient of the track is 9 per mile, and the distance per kilometer (on the slope) [AC] = is 560m. Determine the angle alpha and the distance [AB] = the height between A and B. A / | B/____________C - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h on a 54 meter long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Heating water
5 kg of water warmed up by 10°C. How much heat did the water absorb? (Remember that 1kg of water needs 4,200J of heat to raise its temperature by 1°C.) - Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm cubic. Calculate how many cubes with a volume of 1 cm cubic can this cuboid be cut into without a remainder. - Maturitný - RR - base
In an isosceles triangle ABC with base AB, ∠BAC = 20°, AB = 4. The axis of the interior angle at vertex B intersects side AC at point P. Calculate the length of the segment AP. Give the result to two decimal places. - Air 2
The air distance between New York and Los Angeles is 3962 km. How many km is 1 cm on a map if the map scale is 1:1000000? - Segments on the hypotenuse
A right triangle ABC has a hypotenuse of c=26cm. How many segments does the height vc=12 cm cut out on the hypotenuse c? What are the lengths of the sides a and b? What are the angles at the vertices A and B?
- In trapezoid 3
In a trapezoid ABCD, the elements are given - lengths of bases a= 20cm, c= 11 cm, angle α = 63°36’ and angle β=79°36’. Calculate the lengths of the other sides and the sizes of the angles. - Horizontal 84047
A ladder is leaning against a wall at a height of 6.5 m. How long is the ladder if it makes an angle of 60° with the horizontal floor? - Acceleration - free fall
How long will it take for a car to reach 180 km/h with an acceleration of 10 m/s²? - In a right-angled 17
In a right-angled triangle DEF with hypotenuse f = 12 cm, the interior angle at vertex D is 60°. What is the length of the side e? - Hypotenuse 84015
In a right triangle ABC, the hypotenuse c = 8 cm and the side b = 4 cm. What is the size of angle α?
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