Unit conversion - practice problems - page 8 of 134
Number of problems found: 2678
- Area 51
The area of a triangle is 54.39, angle alpha is 32°, and angle gamma is 144°. - Determine the surface area
Find the surface area of a cone of height 30 cm whose slant side makes an angle of 60° with the base plane. - Ice rink
A rectangular ice rink measuring 15 m × 20 m needs to be covered with a layer of ice 4.5 cm thick. How many litres of water are needed to create the ice? - Calculate A cone has a base diameter of 16 cm and a slant height of 10 cm. Calculate its surface area and volume.
- Mirror
The dimensions of a mirror are 750 mm × 700 mm, and the mirror is to be tilted 8° away from the wall. How many centimetres must the bottom of the mirror protrude from the wall? - Quadrilateral - irregular
Find the length of side d = |AD| in quadrilateral ABCD: a = 35 m, b = 120 m, c = 85 m, angle ABC = 105°, angle BCD = 72°. - Unit circle
In the Cartesian coordinate system, a unit circle is given on which points A and B lie. Point O is the origin with 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 metres of material are needed to make 40 equilateral triangular wooden pads with sides of 30 cm and a height of 26 cm? - Tank 30
A water tank has the shape of a cuboid with a square base of side 2 m and a depth of 3 m. How many more litres of water can the tank hold if both base edges are increased by 1 m and the tank is deepened by half a metre? - Rhombus 48
A large rhombus is composed of four identical smaller rhombuses, each with an area of 42 m² and an angle alpha of 60°. What is the perimeter of the large rhombus? - Pillar 4
A square prism pillar is 10 metres high with a base edge of 90 cm. How many bricks are needed to build it if 1 brick has a volume of 1.2 dm³? - Water lily
A father placed 4 containers with water lilies in a newly built pond. The containers were cylindrical with a diameter of 55 cm and a height of 27 cm. What is the total volume of all four water lily containers in litres? - Density of a cube
Calculate the density of a cube if its edge is 8 cm and its mass is 3 kg. - Round up - fountain
A fountain, cylindrical in shape with a base diameter of 2 m, is 25 cm deep. How many litres of water can it hold? Round the result to the nearest 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 the pool if the water level is 10 cm below the edge? State the result in centimetres and round to the nearest whole number. - On a bicycle 5
Clara left the town square on her bicycle and rode toward the city at an average speed of 20 km/h. Johnny left the same square on his bicycle 15 minutes after Clara and rode in the same direction at an average speed of 30 km/h. How long did it take Johnny - Alice 2
Alice decided to plant geraniums in the spring. She bought one 50-litre bag of soil and also cuboid-shaped boxes with base dimensions of 1 m × 15 cm and a height of 17 cm. She wants to fill the boxes with soil to a height 2 cm below the top edge. Calculat - Rhombus - diagonals
Rhombus ABCD has diagonals u₁ and u₂ that make an angle of 60° with each other. Side a = 80 cm and side b = 50 cm. Calculate the area of the rhombus. - Tractor 18
A tractor pulls four seeders, each 18/5 metres 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
A train had to travel the distance from A to B at an average speed of 56 km/h. After a 1.5-hour journey from station A, the train stopped for 30 minutes. To reach station B on schedule, it had to travel the remaining distance at an average speed of 63 km/
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