Solid geometry, stereometry - page 48 of 121
Number of problems found: 2404
- 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? - Kitchen
The kitchen roller has a diameter of 78 mm and a width of 315 mm. How many square millimeters roll on one turn? - 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? - Diameter 27713
The column for posters in the cylinder shape is 2.3 m high, and its diameter is 1.2 m. What is the area on which the posters can be glued? - 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. - 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? - Cylinder from paper
We roll a cylinder with a height of 30 cm from a rectangle measuring 20 x 30 cm. Find its volume and surface. - 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 - Quadrilateral prism
Calculate the surface of a quadrilateral prism according to the input: Area of the diamond base S1 = 2.8 m2, length of the base edge a = 14 dm, the prism height 1,500 mm. - Prism 4 sides
The prism has a square base with a side length of 3 cm. The diagonal of the sidewall of the prism (BG) is 5 cm. Calculate the surface of this prism in cm square and the volume in liters. - Equilateral tetrahedral pyramid
The base edge of a regular tetrahedral pyramid is a = 4 cm. The base and walls are equilateral. Calculate the surface of this pyramid. - 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 and is shaped like a prism. Its base is a rectangle with sides a = 0.6 m and b = 1.5 m. How high is the water level in the tank?
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