Unit conversion of Length Problems - page 26 of 52
Number of problems found: 1023
- Map distance ratio
On a map with a scale of 1:500,000, the aerial distance is equal to 12 cm. The distance by rail is equal to 100 km. The road distance is 92 km. Express the air, rail, and road distance in a step-by-step ratio. - Geometric plan
At what scale is the building plan if one side of the building is 45 m long and 12 mm long on a plan? - Cadastral map scale
Calculate the scale of the cadastral map, on which the square plot has a circumference of 20 cm and, in fact, 576 m. - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Weight of Gold Pyramid
The teacher cast the gold in the shape of a regular triangular pyramid with a base edge length of 12 cm and a height of 8 cm. The density of gold is 19,320 kg/m³. What is the weight of the casting? - Living Room Siding Length
The living room floor has dimensions of 50 dm and 4 m. If we want to cover it around its entire perimeter, how many meters of wood siding do we have to buy? - Wheel turns
The diameter of the motorcycle wheel is 55 cm. How often does a motorcycle wheel turn on a 5 km long road? - Pyramid model
Peter brought back from his vacation in Egypt a model pyramid in the shape of a regular quadrilateral pyramid. He measured that its base edge has a length of 7 cm and the lateral edge has a length of 10 cm. The model has a mass of 1 kg and is made of an u - Distance Between Boats
An observer watches two boats at depth angles of 64° and 48° from the top of the hill, which is 75 m above the lake level. Determine the distance between the boats if both boats and the observer are in the same vertical plane. - Cross-section - digging
How many m³ of soil is to be excavated when digging a 120 m long ditch, the cross-section of which is an isosceles trapezoid with bases of 2.3 m and 3.3 m, if the depth of the trench is 90 cm? - Walking
The boy walked about 8.5 km in an hour. How long will it take to walk a distance of 32 km if he takes two breaks of 30 minutes during the route? - Milan's kite
Peter and Milan were flying kites. Peter's kite flew to a height of 8m 35 dm 16 cm. Milan's kite flew 60 cm lower. How high in cm did Milan's kite fly? - Step count
George makes steps 60 cm long. He will take 1530 steps on the way to school. How many steps will his father take to the class meeting if he makes steps 85 cm long? - Driver Speed Increase Time
The driver covered the distance between the two cities in 2 hours at an average 75 km/h speed. How did he change speed to get 20 minutes faster? - Cable car
Find the elevation difference of the cable car when it rises by 67 per mille, and the rope length is 930 m. - A transmitter tower
A transmitter tower is 80 metres high and is secured to the ground by 4 steel cables, each anchored 60 metres from the base of the tower. Calculate how many metres of steel cable were needed in total to secure the transmitter tower. The steel cable has a - Cube QR Codes Area
Peter built a cube in Ostrava, each wall with a unique QR code. The edge of the cube is 107 cm long. Calculate how large an area its author had to cover with white and black. - The ladder - RT
The ladder 16 feet reaches up 14 feet on a house wall. The 90-degree angle at the base of the house and wall. What are the other two angles or the length of the leg of the yard? - Cyclist pursuit
The pedestrian walks at a speed of 4.3 km/h. In 1 hour and 10 minutes, a cyclist followed him at an average 18 km/h speed. How many minutes will a cyclist reach a pedestrian, and how many kilometers will he travel? - Extending the sides
The sides of a square and a rectangle will be simultaneously and repeatedly extended according to the following rules: all sides of the square we extend always by 2 cm, the shorter sides of the rectangle we extend always by 1 cm, and the longer sides alwa
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