Solid geometry, stereometry - page 48 of 120
Number of problems found: 2399
- Centimeters 65884
The plastic bucket has the shape of a cylinder with a diameter of 25 cm and a height of 40 cm. How many square centimeters are needed to produce it? How many liters does it contain when filled 5 cm below the rim?
- 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
- 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.
- Length 6235
Length 25m, width 10m, depth 160 cm. How many square meters are needed to line the pool?
- Sails
We know the heights of sail, 220, 165, and 132. It has a triangular shape. What is the surface of the sail?
- Paint the walls
It is necessary to paint the walls and ceiling of the warehouse, which is 10 m long, 4 m wide, and 3 m high. How many CZK (Czech crowns) will it cost to paint if it costs 200 CZK to paint 1 m²?
- Triangular prism
Calculate the surface of a regular triangular prism; the base's edges are 6 cm long, and the height of the prism is 15 cm.
- 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.
- The plaster cast
The plaster cast has the shape of a regular quadrilateral pyramid. The cover consists of four equilateral triangles with a 5 m side. Calculate its volume and surface area.
- Metal tube
Calculate the metal tube mass 8 dm long with an outer radius of 5cm and an inner radius of 4.5cm. One cm³ of this metal is 9.5g.
- The aquarium
The aquarium has a capacity of 18 liters. When the square bottom is 28 2/3 cm long, what is its height?
- 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?
- Half-cylinder-shaped 31491
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?
- Two walls
Calculate the surface area of a cube in m² if you know that the area of its two walls is 72 dm².
- Determine 10561
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.
- Square-shaped 4821
The vertical prism lies on a square-shaped base with a side 3 cm long. The diagonal of the sidewall of the prism is u = 5cm. Calculate its volume.
- 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?
- Regular quadrilateral pyramid
Find the volume and surface of a regular quadrilateral pyramid if the bottom edge is 45 cm long and the pyramid height is 7 cm.
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