# Unit conversion - math word problems

1. Sugar 9 150 kg of sugar beet yields 24 kg of sugar. From how many tons of sugar beet can be obtained three tons of sugar?
2. Liter of gold What weight does 1 dm3 of gold have? Gold density is 19,300 kg / m3
3. Cooling liquid Cooling liquid is diluted with water in a ratio of 3:2 (3 parts by volume of coolant with 2 volumes of water). How many volumes of coolant must be prepared for a total 0.7 dm3 (liters) of the mixture?
4. Cardboard How many m2 of cardboard are needed to make the cuboid with dimensions 40 cm 60 cm and 20 cm?
5. Colza In the agricultural cooperative harvested 525 ares of colza, of which received 5.6 tons of seeds. Calculate the yield per hectare.
6. Sheet of paper Is the sheet of paper measuring 18 and 25 cm enough for taping 9 cm cubes with an edge? (1 = yes, 0 = no)
7. Paving - joints We are paving with rectangular pavement 18 cm × 24 cm was placed side by side in height in a row and in the second row in width etc. How many times will the joints meet at a distance 10 m?
8. Two cuboids Find the volume of cuboidal box whose one edge is: a) 1.4m and b) 2.1dm
9. Cars speeds Distance from city A to city B is 108 km. Two cars were simultaneously started from both places. The speed of a car coming from city A was 2 km/h higher than the second car. What was the speed of each car if they met in 54 minutes?
10. Mail train The speed of mail train is 1370 meter per minute. Express it in miles per hour correct to three significant figure . Given that 1 meter =39.37 inches.
11. Clay How many cubic centimeters of clay is in a pit of dimensions 4 m x 3 m x 3 m?
12. One deci Wine 0,375 l costs 2040 CZK. How much does 1 dl cost?
13. Laths There are two laths in the garage opposite one another: one 2 meters long and the other 3 meters long. They fall against each other and lean against the opposite walls of the garage both laths and touch at a height of 70 cm above the garage floor. How wid
14. Trench The trench is a four-sided prism. The cross section has a trapezoidal shape with basements of 4m and 6m, the length of the trench is 30m. What is the depth of the trench if we dig 60,000 l of soil.
15. Bean bag A student tossed a bean bag. It landed 216 inches away. How many yards are equal to 216 inches?
16. Acres Two hours 24 students harvested chestnuts on 36 acres. How many square meters harvested one student per hour?
17. Mirror How far must Paul place a mirror to see the top of the tower 12 m high? The height of Paul's eyes above the horizontal plane is 160 cm and Paul is from the tower distant 20 m.
18. Thales Thales is 1 m from the hole. The eyes are 150 cm above the ground and look into the hole with a diameter of 120 cm as shown. Calculate the depth of the hole.
19. Water flow How much water flow in pipe with a diameter of 16 cm in 1 hour if the water velocity is 2.5 m/s?
20. Juice box The juice box has a volume of 200ml with its base is an isosceles triangle with sides a = 4,5cm and a height of 3,4cm. How tall is the box?

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