Length - practice for 13 year olds - page 16 of 63
Number of problems found: 1254
- Rectangle 62854
The aspect ratio of the rectangle and its diagonal is 9:12:15. Calculate the area of the rectangle if the length of the diagonal is 105 cm. - Dedicated 62673
The street lamp is 5.5 m high. It suddenly stopped shining. How long do ladders need workers if they know that dedicated lamps can be placed at a distance of 18 dm at the bottom? - Common chord
The common chord of the two circles, c1 and c2, is 3.8 cm long. This chord forms an angle of 47° with the radius r1 in the circle c1. An angle of 24° 30' with the radius r2 is formed in the circle c2. Calculate both radii and the distance between the two - Regular 62524
The floor in the game tower has the shape of a regular hexagon with a side length of 5m. How many pieces of parquet must be ordered to cover it if 25 pieces are needed for 1 square meter, and we must add a reserve of 10%?
- Library
They packed books in the library. They used 45 cm of wrapping paper per book. Wrapping papers are sold in rolls of 3 meters. How many such roles do they need to wrap 20 books? - Project 62074
The 350 m long road is shown on the plan by a 3.5 cm long line. What is the scale of the project? - Circumference 61944
Calculate the volume and surface of the planet Venus if its circumference is 12,000 km. - Pipe thickness
The outer circumference of the tube is 32cm. Its length is 60cm, density 8.5g/cm³ and weight 9.495kg. Calculate the wall thickness of the pipe. - A turtle 2
A turtle can walk 1/12 of a kilometer in an hour. The turtle is 1/5 of a kilometer away from a pond. How long will it take the turtle to reach the pond at this speed?
- Prism - right isosceles
Find the volume and surface of a prism with a height of 120 mm, the base of which is a right isosceles triangle with a leg length of 5 cm. - The height of prism
A right triangle forms the base of the vertical prism with perpendiculars 30 cm and 40 cm long. This prism has the same volume as a cube with an edge length of 3 dm. Find its height in cm. - Highway
A stretch of highway 12 1/4 kilometers long has speed limit signs every 7/8 of a kilometer. How many speed limit signs are on this stretch of highway? - Circular arc
Calculate the center angle and length of the circular arc if the radius r = 21 cm and the area of the slice is 328.5 cm² - One-quarter 58883
The workers dug one-quarter of the excavation on the first day, half the rest on the second day, and the remaining 15 m on the third day. How many meters did they dig on the first and second day?
- The tourist
The tourist will cross a 5 km long section in 3 hours. Part of the journey goes at a speed of 0.8 m/s and the other part at a speed of 0.4 m/s. Find the length of the first and second parts of the journey. - The tailor
The tailor estimated the rest of the fabric in the package at 11 m. By measuring, he found that he could cut the same pieces of this fabric without a residue in 150 cm or 210 cm increments. How many meters of fabric were in the package? - Treasure map
On a treasure map, the actual distance is directly related to the scaled distance. If 15 miles is represented by 3 centimeters on the treasure map, are they equivalent to 135 miles? - Tunnel
Kubo sits on a train speeding at 108 km/h. At that moment, the train entered the tunnel, which according to Kub's book, was 2 km long. Kubo noticed that the end of the train had left the tunnel 75 seconds later than the locomotive had entered the tunnel. - Calculate
Calculate the height of a tree that casts a shadow 22 m long if you know that at the same time, a pillar 2 m high casts a shadow 3 meters long.
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