Solid geometry, stereometry - page 51 of 123
Number of problems found: 2441
- 3s prism
A regular perpendicular triangular prism with a height of 19.0 cm and a base edge of 7.1 cm is given. Calculate the prism's volume. - Water
The lawn has an area 1571 m², rained 5 mm of water. How many liters of water rained? - Sphere
Intersect between the plane and a sphere is a circle with a radius of 60 mm. The cone, whose base is this circle and whose apex is at the center of the sphere, has a height of 34 mm. Calculate the surface area and volume of a sphere. - Turning machine
What is the smallest diameter of the cylinder so that a square prism with a side of 40 cm can be turned from it? - Height of the room
Given the floor area of a room as 24 feet by 48 feet and the space diagonal of a room as 56 feet. Can you find the height of the room? - Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. The base and walls are equilateral. Calculate the surface of this pyramid. - Cube
Calculate the cube ABCDA'B'C'D's surface if the area of rectangle ACC'A' = 344 mm². - Pyramid complete
A regular quadrilateral pyramid is given: a = 27 mm, w = 21 mm (wall height). Calculate the height, volume, and surface area of the pyramid. - Calculate
The circumference of a sphere is o = 87 cm. Calculate its volume. Express the result in litres and round to the nearest whole number. - Tank water hectoliters
How many hectoliters of water are in a cylindrical water tank with a base diameter of 3 meters and a depth of 60 cm? - Four-sided prism
Find the surface area and volume of a four-sided prism high 10 cm if its base is a rectangle measuring 6 cm and 1.4 dm. - Cylinder surface volume
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20 cm. - Triangular prism
The regular triangular prism has a base edge of 8.6 dm and a height of 1.5 m. Find its volume and surface area. - Surface and volume
Find the surface and volume of the rotating cone if the circumference of its base is 62.8 m and the side is 25 m long. - Tank sheet calculation
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank? - Hexagonal pyramid
Calculate a regular hexagonal pyramid's volume and surface area with a base edge a = 30 m and a side edge b = 50 m. - Tunnel boring
How much material did they dig when cutting the 400 m long tunnel? The area of the circular segment, which is the cross-section of the tunnel, is 62 m². - Nickel ball weight
The hollow nickel ball has an outer diameter of 0.4 meters and an inner diameter of 0.3 meters. If the nickel density is 9000 kg/m3, determine its weight. - Cylinder in a Cube
The cube has an edge length of 5 cm. This cube surrounds a rotating cylinder. Find the surface area of the shell and the volume of the cylinder. - Cuboidal room
The length of the cuboidal room is 2 m the breadth of the cuboidal room is 3 m and height is 6 m find the length of the longest rod that can be fitted in the room
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