Solid geometry, stereometry - page 40 of 120
Number of problems found: 2399
- Cube from sphere
What largest surface area (in cm²) can have a cube that we cut out of a sphere with a radius 26 cm?
- Approximately 83106
The castle courtyard, with an area of 100 m², is paved with oak cubes with an edge of 8 cm. Approximately 164 bricks were used to pave m². One dm³ of oak wood weighs 0.8 kg. Calculate the weight of all the bricks used to pave the courtyard.
- Cube-shaped 32441
We painted a closed cube-shaped oil tank with an edge length of 1.5 meters twice with a protective coating. How many kilograms of paint did we use if 1 kg of paint is enough for 10 square meters? How many liters of oil are in the tank if it is filled to t
- Rectangular 6481
The bottom of the pool at the family house has a rectangular shape with dimensions of 5 m and 3.5 m. Its height is 1.2 m. How many kg of acrylic paint are needed to paint the bottom and walls of the pool if 1 kg of paint is enough for 6 m²? The coating is
- Pool
Mr. Peter builds a pool in the garden in the shape of a four-sided prism with a rhombus base. The base edge length is 8 m, and the distance between the opposite walls of the pool is 7 m. The estimated depth is 144 cm. How many hectoliters of water does Mr
- Everything 3536
The cabinet for storing garden tools is shaped like a cube with an edge length of 2 m. How many m² of paint will we need to paint this cabinet if we paint everything except the bottom base? How much will it cost to paint a cabinet if one can of paint for
- Diameter 9271
How many kg of paint do we need to paint a cylinder with a diameter of 60 cm and a length of 2 meters if we use 0.5 kg of color for one square meter of surface? How much will we pay for paint if 1 kg costs CZK 165?
- Six-sided 44151
The parasol has the shape of the shell of a regular six-sided pyramid, whose base edge is a=6dm and height v=25cm. How much fabric is needed to make a parasol if we count 10% for joints and waste?
- Dimensions 2720
The cabinet has the shape of a cuboid, the dimensions of which are 80 cm and 55 cm, and a height of 1.8 m. The cabinet is painted twice on the outside. How much paint is used to paint the cabinet if 1kg is enough for 4 m²? (we do not paint the bottom of t
- Quadrilateral 30401
Calculate the volume of a regular quadrilateral pyramid, given: 1) a = 3.5 m; vt = 24 dm Express the volume in m³ and round to 1 decimal place 2) a = 1.6 dm; vt = 295 mm Calculate the volume in cm³ and round to 1 decimal place Solution entry: 1) entry 2)
- Classic tent
The tent is shaped like a triangular prism. The front and rear walls are isosceles triangles with a height of 18 dm and arms 19.5 dm long. It is 1.5 m wide and 2 m long. How many square meters of fabric are needed to make a tent? How much air is in it?
- Basement 3
A new construction of a family house is to have a basement. The floor, walls, and ceiling of the basement are to be covered with an asphalt insulating layer. The ground plan of the family house has dimensions of 10m and 12m. The height of the basement inc
- The glass
The glass has the shape of a cylinder with an inner diameter of 12 cm, and the height from the bottom is 16 cm. The cut skewer can be inserted diagonally into the glass so it does not protrude beyond the edge. What is the largest possible length of the cu
- Outside 30931
The water barrel, 90 cm high and 60 cm wide, has no lid (upper base). How much paint do we need to paint the barrel from the outside? If 1 kg of paint is enough for 8m².
- Consumption 15663
The cone-shaped sheet metal roof has a base diameter of 80 cm and a height of 60 cm. If 1 kg of paint is consumed per 6 m² of sheet metal, calculate the paint consumption for painting this roof.
- Cylindrical 7943
The outdoor pool has a cylindrical shape with an inner diameter of 3.6 m and a depth of 1.2 m. a) how long will it take to fill if 2 liters of water flow per second? b) how many crowns will it cost to fill the pool? (find out the price of 1 m³ of water. )
- Company 6387
At the foot of the house are three columns with a square base 2.5 m high and 6 dm thick. How much do we pay if we want to cover them with boards and the company charges 12 euros per 1 square meter?
- Dimensions 4525
Cubed sugar in a 1 kg package is in a box with 20 cm, 12 cm, and 5 cm dimensions. a) How many sugar cubes with dimensions 2.5 cm, 2.5 cm, and 1 cm fit in the box? b) Calculate the mass of one cube. c) How many square meters of cardboard are needed to make
- Dimensions 39623
In the form of a pyramid with a square floor plan, the house's roof has dimensions of 12 x 12 m, at the highest point, a height of 2 m. How much roofing do we need to buy? Count on a 10% reserve.
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