Maths practice for 14 year olds - page 276 of 314
Number of problems found: 6275
- The cone
The cone's lateral surface area is 4 cm², and the area of the base is 2 cm². Find the angle in degrees (deviation) of the cone sine and the cone base plane. (The cone side is the segment joining the vertex cone with any point of the base circle. All sides
- Area of the cone
Calculate the surface area of the cone. You know the base diameter is 25 cm, and the height is 40 cm.
- Equilateral triangle v2
An equilateral triangle has a perimeter 36 dm. What is its area?
- Hexagonal pyramid
The pyramid's base is a regular hexagon, which can be circumscribed in a circle with a radius of 1 meter. Calculate the volume of a pyramid 2.5 meters high.
- Cube from sphere
What largest surface area (in cm²) can have a cube that we cut out of a sphere with a radius 26 cm?
- Chord distance
The circle k (S, 6 cm) calculates the chord distance from the center circle S when the chord length is t = 10 cm.
- Internal and external angles
Calculate a triangle's remaining internal and external angles if you know the internal angle γ (gamma) = 34 degrees and one exterior angle is 78 degrees and 40 '. Determine what kind of triangle it is from the size of its angles.
- Prism
The volume of a tetrahedral prism is 2.43 m³. The prism's base is a parallelogram with a side of 2,5dm and height ha = 18cm. Calculate the height of the prism.
- Water
In the garden with an area of 8 ares, rain 40hl of water. To what heights leveled water?
- Tetrahedral prism
Calculate the surface and volume of a tetrahedral prism, which has a rhomboid-shaped base, and its dimensions are a = 12 cm, b = 7 cm, ha = 6 cm, and prism height h = 10 cm.
- Draw a trapezoid
Draw a trapezoid if given a = 7 cm, b = 4 cm, c = 3.5 cm, diagonal AC = 5cm. Solve as a construction task.
- Colour - billboard
Shelftalker has the shape of a parallelogram. Its length is 4.9 m, and its corresponding height is 3.5 meters. Calculate how much (kg) paint must be purchased for redecoration if 1 kg covers 4 m² of shelf talker surface.
- Rhombus A2p
The rhombus area is 13 cm², and its height is 5cm long. Find the perimeter of this rhombus.
- Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters?
- Triangle SSA
Construct a triangle ABC if |AB| = 5cm va = 3cm, CAB = 50 °. It is to create the analysis and construction steps.
- Painter
How many euros will we pay for repainting the room-shaped cuboid with a length of 4.5 meters, a width of 2.5 meters and a height of 3 meters, if for one m² with paint, we pay € 1.5?
- Motion 2
At 10 o'clock started car from place A at speed at 90 km/h, twenty minutes after starting another car from place B at a 60 km/h speed. The distance between places A and B is 120 kilometers. What time and where do they meet?
- Vacation
Parents are piggybacking their children on vacation to their grandmother and grandfather in a city that is 150 kilometers away. They agreed to meet halfway. Parents will travel at 90 km/h, and grandmother and grandfather will travel at 60 km/h. Parents de
- Cars motion
From A point car starts at the speed of 90 km/h. Against it departs from point B at the same time another car at 60 km/h. How long and where do they meet if the distance between A and B is 180 km?
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