# Units - math word problems

1. Transforming cuboid Cuboid with dimensions 6 cm, 10, and 11 cm is converted into a cube with the same volume. What is its edge length?
2. Trunk Calculate length of the biggest fishing rod can be inserted into the trunk of a car with dimensions 165 x 99 × 85 cm?
3. Is right? Is triangle with sides 51, 56 and 77 right triangle?
4. Rotating cone II Calculate area of surface of rotating cone with base radius r=19 cm and height h=9 cm.
5. Box Calculate the angle between box base 9 x 14 and body diagonal length 18.
6. Aircraft Flight length 3457 km took 5 hours. The airport passengers had to arrive hours in advance, 2 hours. Departure was delayed for 6.4 hours. The destination airport formalities took 0.4 hours. Calculate the average speed of passenger travel from arrival to l
7. The angle of lines Calculate the angle of two lines y=x-21 and y=-2x+14
8. Chord In a circle with radius r=60 cm is chord 4× longer than its distance from the center. What is the length of the chord?
9. Bulbs In the box are 6 bulbs with power 75 W, 14 bulbs with power 40 W and 15 with 60 W. Calculate probability that a randomly selected bulb is:
10. Isosceles triangle Calculate the perimeter of isosceles triangle with arm length 26 cm and base length of 21 cm.
11. Pipes Water pipe has a cross-section 1087 cm2. An hour has passed 960 m3 of water. How much water flows through the pipe with cross-section 300 cm2 per 9 hours if water flow same speed?
12. Gold wire From one gram of gold was pulled wire 2.1 km length. What is it diameter if density of Au is ρ=19.5 g/cm3?
13. Minute angle Determine size of angle, which takes minute hand for 75 minutes.
14. Clock How long is trajectory of second hand of hours for day, if is 15 mm long?
15. Gear wheels Two gear wheels, which fit together, have the number of teeth z1=58 and z2=149. Calculate the speed of the first wheel, if the second wheel rotates 1232 revolutions per minute.
16. Angles The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle.
17. Rectangle SS Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle.
18. Train The train passes part of the line for 95 minutes at speed 75 km/h. What speed would have to go in order to shorten the driving time of 20 minutes?
19. Earth parallel Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°.
20. V-belt Calculate the length of the belt on pulleys with diameters of 105 mm and 393 mm at shaft distance 697 mm.

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