Solid geometry, stereometry - page 49 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
- Triangular prism
Calculate the surface area and volume of a three-sided prism with a base of a right-angled triangle, if its sides are a=3cm, b=4cm, c=5cm and the height of the prism is v=12cm. - Calculate 37491
Calculate the edge size of a 48l cube. - Cube-shaped 81023
The cube-shaped pool is 50 m long and 16 m wide. They poured 12,000 hl of water into it. Calculate the surface area of the pool that is wetted by water. - Quadrangular 64564
The surface of the quadrangular block is 3.4 dm². The edges of the figure are 8cm and 10cm long. Calculate the volume of the prism.
- Cylindrical 27733
The cylindrical silo has a diameter of 4 m and a height of 7 m. For how many m² is it necessary to buy paint to paint against corrosion (we paint the silo only from the outside)? - Perpendiculars 17003
What is the hole volume drilled by the drill in the shape of a right triangle that revolves around a longer perpendicular? The perpendiculars of the triangle are 10 cm and 3 cm long. - Hexagonal 13891
A regular hexagonal pyramid has a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. Please sketch the picture. Please calculate the surface of a regular hexagonal pyramid. - Calculate 6178
Calculate the plastic area of a 5-sided prism if the surface of the prism is 258 cm2, and one base has an area of 64.6 cm². Enter the result in the form of the decimal number in cm². - Cylindrical 4455
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?
- A sphere
A sphere has a radius of 5.5 cm. Determine its volume and surface area. A frustum of the sphere is formed by two parallel planes. One through the diameter of the curved surface of the frustum is to be of the surface area of the sphere. Find the height and - 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. - The tank
The tank has 1320 liters of water. The tank has the shape of a prism. Its base is a rectangle with sides a = 0,6 m and b = 1,5 m. How high does the water level reach in the tank? - Prism
Calculate the surface area and volume of a prism with a body height h = 10 cm, and its base has the shape of a rhomboid with sides a = 5.8 cm, b = 3 cm, and the distance of its two longer sides is w = 2.4 cm. - Cuboid box
How much m² paper is needed for the sticking cuboid box of dimensions 50 cm, 40 cm, and 30 cm? To the folds, add one-tenth the area.
- 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. - Tetrahedral pyramid
Calculate the volume and surface area of a regular tetrahedral pyramid, its height is $b cm, and the length of the edges of the base is 6 cm. - Classroom 80652
The classroom is 11 m long, 6.5 m wide, and 4 m high. I will pay 14.50 for 1 m² of painting. How much will it cost to paint the classroom? - Cylindrical 66744
How many liters will fit in a cylindrical container with a base area of 0.06 m² and a height of 5 cm? - Quadrilateral 40551
Find the volume and surface area of a regular quadrilateral pyramid ABCDV if its leading edge has a length a = 10 cm and a body height h = 12 cm.
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