Solid geometry, stereometry - page 45 of 121
Number of problems found: 2409
- Centimeter 83033
Calculate the weight in kg of a steel rope 1.5 cm in diameter and 10 m long if one cubic centimeter of steel weighs 7.8 g - Diameter 30533
The open tank has the shape of a cylinder with a diameter of d = 1 m and a height of v = 2 m. How many m² of sheet metal is needed to make the tank? How many liters of water will fit in this tank? - Calculate 6178
Calculate the lateral surface area of a pentagonal prism if the total surface area of the prism is 258 cm² and one base of the prism has an area of 64.6 cm². Express the result in cm² as a decimal number. - Dimensions 3406
We poured 3 liters of water into an empty aquarium, with a bottom dimension of 30x30cm and a height of 25cm. What is the level? - Round flowerbed
I will make a sidewalk up to 0.5 meters wide around a round flowerbed with a diameter of 6 meters. How much gravel is needed if the layer is 5 cm high? - Tray
If the water level in the tray shaped as a cuboid is 420 liters and the bottom dimensions are 120 cm and 70 cm, what height reaches the water level? - Sawdust
How many cubic centimeters of wood sawdust are created by cutting the tree trunk with a diameter of 33 cm and when the gap width is 6 mm? - Straightened 26861
A Mazda van with a box body with internal dimensions of 1.6 m x 3.1 m x 1.7 m (w x d x h) with a payload of 1.7 tons delivers crates with pastries. Pastry box 520: dimensions 600mm x 400mm x 200mm (l x w x h), load capacity 15 kg. Calculate: a) How many c - Rainwater 83296
What volume must a cylinder-shaped tank have to collect rainwater from the flat roof of a cube-shaped house if the house is 12m wide and reports 50mm of rainfall? - Block-shaped 81702
Calculate how many dm² of wood the craftsman needs to make a block-shaped wooden remote control stand with dimensions of 3.2 dm, 2.4 dm, and a height of 0.6 dm. - Dimensions 64944
The swimming pool's interior, with dimensions of 50m, 15m, and 3m, should be lined with tiles. How many square meters of tiles are used for this? - Quadrilateral 39333
The tent with the floor has the shape of a regular quadrilateral pyramid with a base edge a = 2.4 m and a height of 1.8 m. How much canvas is needed for the tent? - Perpendicular 35183
Calculate the surface and volume of a vertical prism if its height h = 18 cm and if the base is an equilateral triangle with side length a = 7.5 cm. - Cross-section 32163
The bottom of the garden pool of circular cross-section has an inner diameter of d = 4 m. The water depth is 0.8 m. How many liters of water can we fill into the pool? - Triangular 24001
The tent's floor consists of a square with a side of 2.4 m, and the front and back wall is an isosceles triangle with a height of 1.6 m. Calculate the volume of air in the tent in liters. (Laid triangular prism.) - Diameter 18273
The roller on the tennis court has a diameter of 60 cm and is 1.2 m wide. What area will the roller cover in one turn? They rounded to one decimal place. - Perpendiculars 2756
Determine the volume and surface of a prism with the base of a right triangle if the perpendiculars are: a is 1.2 cm. b is 2cm. The height of the body is 0.3 dm. - Asphalt - rolling
A roller for rolling asphalt has a diameter of 80 cm and a width of 1.2 m. How many square meters of road does it roll if it turns twenty times? - Observatory's dome
In our city, they decided to reconstruct the observatory's dome and cover it with sheet metal. At least how many square meters of sheet metal will they need if the dome is in the shape of a hemisphere with a diameter of 6m? - 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
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