Unit conversion - practice problems - page 8 of 132
Number of problems found: 2626
- Unit circle
In the Cartesian coordinate system, a unit circle is given on which points A and B lie. Point O is the origin and has coordinates (0,0) and point B has coordinates (1,0). The size of angle BOA is 151°. Determine the x-coordinate of point A. - Padded 2
How many square meters are needed to make 40 pieces of wooden padded equilateral triangles with sides of 30 cm and heights of 26 cm? - Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter? - Rhombus 48
A rhombus consists of four identical rhombuses with an area of 42 m². The angle alpha of each rhombus is 60°. What is its perimeter? - Pillar 4
The pillar is 10 meters high. The edge is 90 cm. How many bricks are needed to build it? 1 brick has a volume of 1.2 dm³. - Water lily
The father placed 4 containers with water lilies in the built pond. The containers had the shape of a cylinder with a diameter of 55 cm and a height of 27 cm. How many liters are all the water lily containers? - Density of a cube
Calculate the density of a cube if the height is 8 cm and the mass of the cube is 3 kg. - Round up - fountain
A fountain, which is cylindrical in shape with a base diameter of 2m, is 25cm deep. How many liters of water can it hold? Round the result to a whole number. - Centimeters of water
A children's pool in the shape of a cylinder with a base diameter of d = 3 m contains V = 21 hl of water. How deep is it when the water reaches 10 cm below the edge? State the result in centimeters and round to the nearest whole number. - On a bicycle 5
Klára left Hořické náměstí on her bicycle and rode to Hradec Králové at an average speed of 20 km/h. Jenda left the same square on his bicycle 15 minutes after Klára left and moved in the same direction as Klára at an average speed of 30 km/h. How long di - Alice 2
Alice decided to plant geraniums in the spring. She bought one fifty-liter package of soil and also cuboid-shaped boxes with bottom dimensions of 1 m and 15 cm and a height of 17 cm. She wants to fill the boxes with soil only to a height of 2 cm from the - Rhombus - diagonals
Rhombus ABCD has side a = 80 cm and side b = 50 cm. Diagonals u1 and u2 make an angle of 60 degrees with each other. Calculate the area of the rhombus. - Tractor 18
A tractor pulls four seeders, each 18/5 meters wide. The tractor moves at a speed of 4.5 km/h during sowing. How many hectares of field will the tractor driver sow in 7.5 hours? - We are delayed
The train had to travel the distance from A to B at an average speed of 56km/h. After a 1.5 hour journey from station A, the train stopped for 30 minutes. To reach station B in the specified time, he had to travel the remaining distance at an average spee - Hectoliters - tank A cylindrical tank with a base diameter of 1.2 m is supposed to hold 17 hectoliters of water. How many square meters of sheet metal are needed to make it? We calculate if 2% of the surfaces are for joints and waste.
- Fuel and oil ratio 2T
Add 4 liters of gasoline with oil in a ratio of 33:1. How much oil is needed? - Graduation of the track
The gradient of the track is 9 per mile, and the distance per kilometer (on the slope) [AC] = is 560m. Determine the angle alpha and the distance [AB] = the height between A and B. A / | B/____________C - A car acceleration
A car increased its speed from 21.6 km/h to 108 km/h on a 54 meter long track. Determine its acceleration, assuming that the motion is uniformly accelerated. - Heating water
5 kg of water warmed up by 10°C. How much heat did the water absorb? (Remember that 1kg of water needs 4,200J of heat to raise its temperature by 1°C.) - Cutting a cuboid
A cuboid can be cut into 200 cubes, each with a volume of 8 dm cubic. Calculate how many cubes with a volume of 1 cm cubic can this cuboid be cut into without a remainder.
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