Unit conversion of Length Problems - page 18 of 52
Number of problems found: 1023
- Car cost comparison
Peter plans to buy a used seven-seater for a large family. The so-called van or MPV. The first car Renault Espace 2.0 dCi 16 V Dynamique 2006, costs 2000 euros + 350 euros registration for Slovak brands, imported from Italy. It is 14 years old and has a c - Map distance calculation
On a map with a scale of 1:40000, the distance between two mountain peaks is given by a segment of 16 cm. How far will the same vertices be on a map with a scale of 1:140000? Round the result to millimeters. Solve using the trinomial - Chained winch
When digging a well, a chained winch balances the material. An empty shackle weighs 8 kg, a total of 64 kg. What force must the worker exert on the crank handle when pulling the shackle with a constant movement from a depth of 5 m if the shaft diameter is - Used cars
Peter plans to buy a used car: The first car was a Renault Espace 2.0 dCi 16 V Dynamique 2006, which cost 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost - Vertical rod
The vertical one-meter-long rod casts a shadow 150 cm long. Calculate the height of a column whose shadow is 36 m long simultaneously. - Map scale determination
Determine the map's scale if the 1.6 km, 2.4 km, and 2.7 km triangle-shaped forests are drawn on the map as a triangle with sides of 32 mm, 48 mm, and 54 mm. - Croatian height difference
There is a horizontal distance of 9 km between two cities on the Croatian coast. The road connecting these two cities has a climb of 13 per mille. What is the height difference between Croatian cities? - The straight The straight path rises by 72 cm every 3 m of its length. How many meters will it climb to 350 m?
- Gears
The front gear on the bike has 32 teeth, and the rear wheel has 12 teeth. How many times does the bike's rear wheel turn if you turn the right pedal 30 times? What distance will you go if the circumference of the bicycle wheel is 250 cm? - Train arrival time
Věra wants to welcome her friend Nada, who will arrive by train at 8:22 AM. Therefore, he leaves home 1.2 km from the station at 8:00 AM and travels at a speed of 3.6 km/h. Will he arrive on time? - Truncated pyramid
The concrete pedestal in a regular quadrilateral truncated pyramid has a height of 12 cm; the pedestal edges have lengths of 2.4 and 1.6 dm. Calculate the surface of the base. - Dress fabric
To sew a dress, you need 2 meters of fabric 150 cm wide. How many meters of cloth do we need for the same dress if the fabric is only 90 cm wide? - Water level
What is the area of the pool's water level after filling 25 m³ of water level by 10 cm? a) 25 m² b) 250 m² c) 2500 dm² d) 25,000 cm2 - Quadrilateral oblique prism
What is the volume of a quadrilateral oblique prism with base edges of length a = 1 m, b = 1.1 m, c = 1.2 m, d = 0.7 m if a side edge of length h = 3.9 m has a deviation from the base of 20° 35' and the edges a, b form an angle of 50.5°? - How many
How many 75 cm long steps will a football player take during training when he runs on a 50 m square track and goes around the course three times? Please write your steps, sketch, and calculation. - Chimney and tree Calculate the height of the factory chimney, which casts a shadow of 6.5 m long in the afternoon. At the same time, a 6 m high tree standing near it casts a shadow 25 dm long.
- Train delay
Due to a breakdown, the train spent 16 minutes standing on the track behind Brno. He "eliminated" this delay, so after the start, the 80 km-long section went at a speed 10 km/h higher than originally planned. What speed was it, and what was it supposed to - Land scale drawing
The land has a triangle shape with sides of 300 m, 200 m, and 245 m. Draw it on a scale of 1:5,000. - Pyramid weight calculation
Calculate the weight of a regular quadrilateral pyramid with a base edge of 4 cm in length and a body height of 6 cm if it is made of a material density of 8 g/cm³. - Hiking trip
Rosie went on a hiking trip. On the first day, she walked 18 kilometers. Each day since she walked 90 percent of what she had walked the day before. What is the total distance Rosie has traveled by the end of the 10th day? Please round your final answer t
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