Worksheets of length units conversion
Conversions of a length unit in word problems
- Airship
An airship is at a height x above the ground. Pavel watches it from point A at an elevation angle of 18°26'. At the same time, Peter sees it from a small plane that is currently flying over Pavel at an altitude of 150 m. Peter sees the airship at an eleva - Reservoir 3
How many cubic feet of water is stored in the reservoir that has a length of 200 feet, a width of 100 feet, an overflow depth of 32 feet, and a current water level of 24 feet? - Cylinder horizontally
The cylinder with a diameter of 3 m and a height/length of 15 m is laid horizontally. Water is poured into it, reaching a height of 60 cm below the cylinder's axis. How many hectoliters of water is in the cylinder? - Cube and water
How many liters of water can fit into a cube with an edge length of 0.11 m? - Two trains 12
Two trains 128 m and 132 m long are running towards each other on parallel lines at 42 km/h and 30 km/h respectively. In what time will they clear of each other from the moment they meet? - Triangle land fencing
The land has the shape of an obtuse triangle with sides of 40 m, 30, and 60 m. Determine the minimum mesh length for fencing and the land area in ares. - Colorado
The state of Colorado is a rectangle. The map is sold on two posters. The first has 70 cm and 50 cm dimensions on a scale of 1:1,000,000. The second poster has dimensions of 175 cm and 125 cm. What is the scale of the second poster? - Electric wire
William has a piece of wire that measures 1 yard long. He will use wire to fix several electrical outlets in his house. How many inches long is the wire? Solve this problem using bar diagrams. - Race circuit
The races run for 5 km. So far, eight circuits have passed. One circuit measures 400 m. How many meters have they run, and how many meters do they have to reach the finish line? - Insulate house
The property owner wants to insulate his house. The house has these dimensions of 12, and 12 m is 15 m high. The windows have six dimensions, 170 and 150 cm. Entrance doors are 250 and 170 cm in size. How many square meters of polystyrene does he need? - Room wallpaper calculation
How many square meters of wallpaper will we need to cover the walls of a room with dimensions of 3 m and 4 m if the room height is 2.5 m? A door with dimensions of 90 cm and 2 m leads to the room. There is one window 1 m wide and 1.5 m high. - AMSL and skiing
Tomas skis from point A (3200m above sea level) to place B. The Hill has a 20% descent. The horizontal distance between the start and finish is 2.5 km. At what altitude is point B? - 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. - Cost of Wooden Boards
How much do we pay for 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick if 1 m³ of boards costs 130 €? Round the price to the whole of €. - Map scale
The garden's plan shows a scale of 1:150, a width of 22 cm, and a length of 35 cm. What is its real area?
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