Power - practice for 14 year olds - page 10 of 12
Number of problems found: 239
- Cube 6
The volume of the cube is 216 cm³. Calculate its surface area. - Cube and water
How many liters of water can fit into a cube with an edge length of 0.11 m? - Rectangle
The rectangle is 18 cm long and 10 cm wide. Determine the diameter of the circle circumscribed to the rectangle. - 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?
- Add vector
Given that P = (5, 8) and Q = (6, 9), find the component form and magnitude of vector PQ. - Two boxes-cubes
Two boxes of a cube with edges a=28 cm and b = 92 cm are to be replaced by one cube-shaped box (same overall volume). How long will its edge be? - Equilateral cylinder
The equilateral cylinder (height = base diameter; h = 2r) has a V = 272 cm³ volume. Calculate the surface area of the cylinder. - Chord AB
What is the chord AB's length if its distance from the center S of the circle k(S, 92 cm) is 10 cm? - Hollow sphere
The steel hollow sphere floats on the water plunged into half its volume. Determine the outer radius of the sphere and wall thickness, if you know that the weight of the sphere is 0.5 kg and the density of steel is 7850 kg/m³
- Chemical parison
The blown parison (with the shape of a sphere) has a volume of 1.5 liters. What is its surface? - Rope slack
Between two streets, 20 m away, give the lamp in the middle and hang 60 cm below the taut rope. Can it be done with a 20.5 meters rope? - Seven tractors
Seven tractors plowed 308 ha field in four days. How many hectares of fields will plow nine tractors in 3 days at the same power? - Iron sphere
Iron sphere has weight 100 kg and density ρ = 7600 kg/m³. Calculate the volume, surface, and diameter of the sphere. - Square roots
What is equal to the product of the square roots of 295936?
- ISO trapezoid v2
Bases of Isosceles trapezoid measured 20 cm and 4 cm, and its perimeter is 55 cm. What is the area of a trapezoid? - Elevator
In homes with more floors, elevators are used. For passenger transport, the most commonly used traction elevator counterweight. The top of the shaft engine room with the engine. The car is suspended on a rope, which is guided up over two pulleys to the co - Leg
Determine the trapezoid area with bases 32 and 12; the height is 2 shorter than its leg. - Flowerbed 2
Around the square flower bed in a park is a sidewalk about 2 m wide. The area of this sidewalk is 243 m². What is the area of the flowerbed? - Prism X
The prism with the edges of the lengths x cm, 2x cm, and 3x cm has a volume 29478 cm³. What is the area of the surface of the prism?
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