Solid geometry, stereometry - page 50 of 120
Number of problems found: 2398
- Hexagonal prism
Calculate the volume and surface of a regular hexagonal prism with the edge of the base a = 6 cm with the corresponding height v1 = 5.2cm and the height of the prism h = 1 dm.
- Quadrilateral pyramid
We have a regular quadrilateral pyramid with a base edge a = 10 cm and a height v = 7 cm. Calculate 1/base area 2/casing area 3/pyramid surface 4/volume of the pyramid
- 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?
- Regular hexagonal pyramid
Calculate the height of a regular hexagonal pyramid with a base edge of 5 cm and a wall height of w = 20cm. Sketch a picture.
- Density of the concrete
If the weight of the cuboid-shaped column is 200 kg, find the density of the concrete with dimensions 20 x 20 cm x 2 m.
- Distance of lines
Find the distance of lines AE and CG in cuboid ABCDEFGH if given | AB | = 3cm, | AD | = 2 cm, | AE | = 4cm
- 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.
- Annual rainfall
The average annual rainfall is 686 mm. How many liters will fall on the 1-hectare field?
- 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 = 3 cm, b = 4 cm, c = 5 cm, and the height of the prism is v = 12 cm.
- Concrete pillar
How many cubic meters of concrete are needed to construct the pillar shape of a regular tetrahedral prism when a = 60 cm and the height of the pillar is 2 meters?
- 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?
- 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.
- Cylinder 60463
Find the surface and volume of a cylinder whose height is 10 dm and the base circle radius is 20cm.
- Cylindrical solid
Find the surface area of the cylindrical solid whose radius is 7.7 cm and height is 12 cm.
- The raft
The raft for washing beets has the shape of a prism with the base of an isosceles triangle, the base of which is 6.8 m (width of the raft) and a height of 4.8 m (depth of the raft, height of the triangle). The raft is 35 m long (prism height). Calculate t
- Cross-section 35063
How many m² of sheet metal are needed to plat chimneys 4 m high with a rectangular cross-section measuring 2.5 m and 1.2 m?
- 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.
- Surrounded 8283
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.
- 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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