Solid geometry, stereometry - page 45 of 121

Number of problems found: 2410

Water level
We poured 3 liters of water into an empty aquarium, with a bottom dimension of 30x30cm and a height of 25cm. What is the level?
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.
Pool
The prism-shaped pool is 2 m deep, with a bottom of the isosceles trapezoid, base dimensions of 10 m and 18 m, and arms legs 7 m long and 5.7 m long. During the spring cleaning, we must paint the bottom and walls of the pool. How many m² of paint should b
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.
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?
Present
The gift box has a rectangular shape with dimensions of 8×8×3 cm. Miloslav wants to cover it with square paper with sides of 18 cm. How much paper was left to him?
Tent canvas
The tent with the floor has the shape of a regular quadrilateral pyramid with a base edge a = 2.4 m and a height of 1.8 m. How much canvas is needed for the tent?
Prism surface volume
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm.
Hangar air volume
How many cubic meters of air is in an empty half-cylinder-shaped aircraft hangar if the hall is 30 m long and 12 m high at the highest point?
Barrel water level
We have a barrel-shaped barrel that has a bottom diameter of 60 cm. How many cm will the water level rise if we add 50 liters of water to the barrel?
Wire length
One hundred twenty wire turns are wound together on a cylindrical rod (r = 2 cm). How long is the wire when 10cm hangs freely at each end?
Cubes from beam
The edge of the cube-shaped dice is 3.5 cm long. How many of these cubes are made of an oak beam 3.5 m long and a square cross-section with a side 35 cm long?
Hexagonal prism height
A container has the shape of a regular hexagonal prism with a base and a capacity of 0.5 dm², which means three quarter-liter cups of water fill the brim. What is the height of a container?
Prism volume
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm.

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