# Worksheets of length units conversion

### Conversions of a length unit in word problems

- Two persons

Two persons are walking beside a railway track at respective speeds of 2 and 4 km per hour in the same direction. A train came from behind them and crossed them in 90 and 100 seconds, respectively. Find the length of the train. - Length 83358

A block-shaped pool has a length of 50m, width of 25m, and depth of 3.5 m. When the pool is filled 50 cm below the edge, how many hectoliters of water is in it? If we paint the inside of the pool two coats and you pay 50 cents per 1m^{2}, how much - Nautical vs statue mile

A nautical mile is the unit of length used in sea and air navigation. A nautical mile is equal to 6,076 feet. What percent of a statue mile (5,280 ft) is a nautical mile? - The playhouse

The drawings of the playhouse are made on a scale of 1:50. In the drawing, the length of the cottage is 4.5 cm. How long is the playhouse actually?

- Isosceles 83247

Calculate the lengths of the sides in an isosceles triangle, given the height (to the base) Vc= 8.8cm and the angle at the base alpha= 38°40`. - Overtake 82752

I am passing a tractor whose speed is 20 km/h. The length of the tractor with the siding is 10 m. My speed is 50 km/h. How long will I overtake the tractor? - Parallelogram 82695

Given is the parallelogram KLMN, in which we know the side sizes/KL/ = a = 84.5 cm, /KN/ = 47.8 cm, and the angle size at the vertex K 56°40'. Calculate the size of the diagonals. - Calculate 82578

The vertices of triangle ABC are: A[1, 2, -3], B[0, 1, 2], C[2, 1, 1]. Calculate the lengths of sides AB, AC and the angle at vertex A. - Determine 82470

The school building casts a shadow 16 m long on the plane of the yard, and at the same time, a vertical meter pole casts a shadow 132 cm long. Determine the height of the building.

- A biker

A biker traveled from city A to city B via city C with a uniform speed of 52 km/h. He then returned directly to city A with a uniform speed of 89 km/h. Find, in minutes, the total time of his whole journey to two decimal places. City distance A from B is - Dimension 82053

The forest strip is 450 m long. Calculate the section length that expresses this dimension on the 1:12500 scale plan. - Determine 82032

Determine the volume and surface area of a cone whose slope of length 8 cm makes an angle of 75 degrees with the plane of the base. - Cross-section 81879

The castle has a length of 4 m and a cross-section in the shape of a square whose side is 15 cm long. Eight such castles must be painted. One kilogram can is enough for 6 m² of coating. How many cans of paint should be bought? - Paper

The drawing paper has dimensions 220mm and 308mm. Pupils should cut it into squares of the same size so that they are as large as possible. Determine the dimensions of the square in cm and the number of squares.

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