Solid geometry, stereometry - page 44 of 123

Number of problems found: 2441

The pot
The pot is in 1/3 filled with water. The bottom of the pot has an area of 329 cm². How many centimeters rise in water level in the pot after adding 1.2 liters of water?
Observatory's dome
In our city, they decided to reconstruct the observatory's dome and cover it with sheet metal. At least how many square meters of sheet metal will they need if the dome is in the shape of a hemisphere with a diameter of 6 m?
Kitchen
A kitchen rolling pin has a diameter of 78 mm and a length of 315 mm. How many square millimetres of surface does it cover in one full rotation?
The regular
The regular triangular prism has a base in the shape of an isosceles triangle with a base of 86 mm and 6.4 cm arms; the height of the prism is 24 cm. Calculate its volume.
Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m², length of the base edge a = 14 dm, the prism height 1,500 mm.
Box paper calculation
How many m² of paper are needed to produce 1000 pieces of cube-shaped boxes with an 8 cm edge when we must add one-quarter of the area to the joints?
The well
The well has the shape of a cylinder with a diameter of 2 m. From ground level to water level are 4 meters, and the water depth in the well is 6 m. How many m³ of soil did they dig when digging a well? How many liters of water are in the well?
Aquarium
There are 15 liters of water in a block-shaped aquarium with internal dimensions of the bottom of 25 cm and 30 cm. Find the area of water-wetted surfaces. Express the result in dm square.
Surface and volume od cuboid
The square base of the cuboid has an area of Sp = 36 cm², and its height is 80 mm. Determine its surface area and volume.
Aquarium depth
The aquarium has the shape of a block with a length of 0.7 m and a width of 25 cm. It can hold 56 liters of water. How deep is the aquarium?
Hexagonal pyramid
A regular hexagonal pyramid has dimensions: the length edge of the base a = 1.8 dm, and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.
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.
Concrete pipe
How much will it cost to cover a 6 m long concrete pipe with an outer radius of 1.5 m and an inner radius of 0.8 meters if one m² paint costs 24 €?
Sawdust
How many cubic centimeters of wood sawdust are created by cutting the tree trunk with a diameter of 33 cm and when the gap width is 6 mm?
Lid
What is the weight of the concrete cover (lid) of a round well with a diameter 1.65 m if the thickness of the cover is 9 cm? 1 m³ of concrete weighs 2190 kg.
Present
A gift box has the shape of a cuboid with dimensions 8 × 8 × 3 cm. Miloslav wants to wrap it using square sheets of paper with sides of 18 cm. How much paper is left over?
The hollow cylinder
The hollow cylinder has a height of 70 cm, an outer diameter of 180 cm, and an inner diameter of 120 cm. What is the body's surface, including the area inside the cavity?
Cellar
The cellar for storing fruit has a rectangular base with sides of 14 m and 7 meters. You should paint sidewall to 2 m. How many square meters of surface must be painted?
Roller
Roller has a diameter of 0.89 m and a width of 225 cm. How many m² of road level when he turns 30-times?
Steel rope weight
Calculate the weight in kg of a steel rope 1.5 cm in diameter and 10 m long if one cubic centimeter of steel weighs 7.8 g

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