Solid geometry, stereometry - page 50 of 115
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2289
- Cross-section 35233
How much soil is needed to dig a 200m long ditch, the cross-section of which is a square with an area of 4812.5 cm2 - Calculate 32713
Hello, I want to ask about the solution and procedure for my task, which is a Cuboid - a=5cm, b=4 cm, c=10 cm, Calculate the content of the blue wall. Calculate the content of the yellow wall. Calculate the content of the green wall. Calculate the surface - Triangular 28451
The surface of the triangular prism is 157.2 dm². Its shell has an area of 126 dm². What space will it occupy on a shelf placed on a pedestal? - The conical
The conical candle has a base diameter of 20 cm and a side of 30 cm. How much dm³ of wax was needed to make it?
- Metal tube
Calculate the metal tube mass 8 dm long with the outer radius of 5cm and the inner radius of 4.5cm, and 1cm³ of this metal is 9.5g. - The rod
The rod has the shape of a regular hexagonal prism with a volume of 32.4 cubic decimetres. What is the area of the base if it is 350 centimeters long? Round to ones. - The wall
The wall in the bathroom has dimensions of 2.8 m and 2.6 m. Suppose we would like to cover this wall to a height of 1.6 m. How many square meters of tiles do we need to buy? - Truncated cone 5
The height of a cone is 7 cm, the length of a side is 10 cm, and the lower radius is 3cm. What could be the possible answer for the upper radius of a truncated cone? - 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.
- 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? - Triangular prism
The base perpendicular triangular prism is a right triangle whose hypotenuse measures 5 cm and one cathetus 2 cm. The height of the prism is equal to 7/9 of the base's perimeter. Calculate the surface area of the prism. - Sphere - parts
Calculate the area of a spherical cap, which is part of an area with a base radius ρ = 10 cm and a height v = 3.4 cm. - Horizon
The top of a lighthouse is 19 m above the sea. How far away is an object just "on the horizon"? [Assume the Earth is a sphere of radius 6378.1 km.] - Measures 3162
What is the surface of a regular pyramid with a square base? If each edge of the base measures 40 mm, the pyramid's height is 44 mm, and the pyramid's height is 38 mm.
- Measures 2535
Peter wants to hide a 60 cm long whistle in a shoebox that measures 25 cm x 48 cm x 21 cm. Will he make it? - Circumscribed 35781
The regular hexagonal prism is 2 cm high. The radius of the circle circumscribed by the base is 8 cm. Determine its volume and surface. - Determine 10561
The hollow nickel ball has an outer diameter of 0.4 meters and an inner diameter of 0.3 meters. Determine its weight if the nickel density is 9000 kg/m³. - Hexagonal 8200
The tops of the base of a regular hexagonal pyramid lie on a circle with a radius of 10 cm. The height of the pyramid is 12cm. What is its volume? - Measuring 6159
We have a cube measuring side a = 540mm. However, it is made of 25 mm thick sheet metal. How much do I need to sheet the cubes inside and the bottom? The lid is not required.
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