# Units - examples - page 62

1. Building
Lenka has 22 cubes for the construction of building comprising three cubes in height, the width of two cubes, and the length of four cubes. Is she able to build an building with these cubes?
2. Pupils at cinema
Alena bought movie tickets for two groups of pupils. The first group purchased 7 tickets for 1st and 5 tickets for 2nd place and she pay 62Kč. For the second group bought 11 tickets for 1st and 4 tickets for 2nd place and pay 82Kč. How much was the ticket
3. Force meter
We put the statuette on the force meter. The force meter showed a value 25 N. Then we placed the statuette on the force meter completely immersed in the water. The force meter showed a value 17 N. What is the volume of the statuette?
4. Dressmaker
Dressmaker left a piece of canvas shorter than 5 meters. She is deciding whether it sew a skirt or dress. The canvas was exactly as much as they consumed had cut up her skirt to 120 cm, or 180 centimeters dress. What a piece of canvas left her?
5. 3 years
The company has increased the number of employees. In year 2005 compared to 2004 13% more, in 2006 18% more against the previous year, in year 2007 20% more compared to 2006. How many % increase in the number of employees in 3 years?
6. Isosceles right triangle
Contents of an isosceles right triangle is 18 dm2. Calculate the length of its base.
7. Acceleration 2
if a car traveling at a velocity of 80 m/s/south accelerated to a velocity of 100 m/s east in 5 seconds, what is the cars acceleration? using Pythagorean theorem
8. Monthly payments
Novákovi pay for electricity and monthly pays at the end of the year still bill 34 USD. Total per year pay 618 USD. What were their monthly payments?
9. Wheel
Diameter of motocycle wheel is 52 cm. How many times rotates wheel on roand long 2 km?
10. Runners circle
Pepa circles the track in 36 seconds. Kamil in 42 seconds. They started together. How many seconds will meet again at the start?
11. Photo egative
Negative dimensions are 36mm and 28mm. What will be the photo size in the 21:4 ratio?
12. Friends
Five mates traveled and the journey they lasted 195 minutes. How long would travel only one of them?
13. Pyramid 4sides
Calculate the volume and the surface of a regular quadrangular pyramid when the edge of the base is 4 cm long and the height of the pyramid is 7 cm.
14. Truncated cone
A truncated cone has a bases radiuses 40 cm and 10 cm and a height of 25 cm. Calculate its surface area and volume.
15. Percent chaining
Calculate 20% from 70% from 80 km
16. Cheaper cars
State-owned railway company buys 10 air-conditioned coaches for nearly 18 million euros. Calculate how many euros is the equivalent of one seat in the wagon with a capacity of 83 people. How many of used cars at the price 2700 Euros can be buy instead o
17. Prism
Find the volume and surface area of prism with base of an equilateral triangle with side 7 dm long and the body height of 1.5 m.
18. Tiles
How many square tiles with the content 121 cm2 has to be ordered for the paving of the square room with a side length of 2.75 meters?
19. 4 pipes
The tank flows out by 4 pipes in 6 hours 120 hl water. How much water flows out of 5 pipes of the same diameter in 14 hours?
20. Trams 2
Square passes two lines of tram. One running every nine minutes, a second interval of 15 minutes. Exactly at 12 o'clock arrived two tram lines in the square. How soon should a similar situation arise again?

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