# Units - math word problems

- 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? - Trunk

Calculate length of the biggest fishing rod can be inserted into the trunk of a car with dimensions 165 x 99 × 85 cm? - Is right?

Is triangle with sides 51, 56 and 77 right triangle? - Rotating cone II

Calculate area of surface of rotating cone with base radius r=19 cm and height h=9 cm. - Box

Calculate the angle between box base 9 x 14 and body diagonal length 18. - 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 - The angle of lines

Calculate the angle of two lines y=x-21 and y=-2x+14 - 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? - 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: - Isosceles triangle

Calculate the perimeter of isosceles triangle with arm length 26 cm and base length of 21 cm. - Pipes

Water pipe has a cross-section 1087 cm^{2}. An hour has passed 960 m^{3}of water. How much water flows through the pipe with cross-section 300 cm^{2}per 9 hours if water flow same speed? - 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/cm^{3}? - Minute angle

Determine size of angle, which takes minute hand for 75 minutes. - Clock

How long is trajectory of second hand of hours for day, if is 15 mm long? - Gear wheels

Two gear wheels, which fit together, have the number of teeth z_{1}=58 and z_{2}=149. Calculate the speed of the first wheel, if the second wheel rotates 1232 revolutions per minute. - Angles

The triangle is one outer angle 158°54' and one internal angle 148°. Calculate the other internal angles of a triangle. - Rectangle SS

Perimeter of a rectangle is 268 cm and its diagonal is 99.3 cm. Determine the dimensions of the rectangle. - 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? - Earth parallel

Earth's radius is 6370 km long. Calculate the length parallel of latitude 50°. - 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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