Solid geometry, stereometry - page 12 of 123

Number of problems found: 2441

Concrete tank
How many m³ of concrete is in the tank shape of a cuboid with dimensions of 2000 cm and, 5.6 meters, and 70 dm if the concrete takes up 3/7 of the tank?
Swimming pool 4
The pool-shaped cuboid measuring 12.5 m × 640 cm at the bottom is 960hl water. To what height in meters reaches the water level?
Cuboid
Find the cuboid that has the same surface area as the volume.
Garden pool
Mr. Novak fills the garden pool (cylinder; diameter of 200 cm) with 31.4 hl of water. What is the depth of the pool when the water level is 10 cm below the upper edge of the pool?
Tank
The tank bottom has dimensions of 1.5 m and 4 1/2 m. The tank is 379 hl of water. How high is the water surface?
Gasholder
The gasholder has a spherical shape with a diameter of 26 m. How many cubic meters (m³) can hold in?
Cone
If the segment of the line y = -2x +3 that lies in the first quadrant is rotated about the y-axis, a cone is formed. What is the volume of the cone?
Cubes
Cube, which consists of 8 small cubes with edge 1 dm, has volume:
Cube corners
From the cube of edge 24 cm, we cut off all vertices so that each cutting plane intersects the edges 2 cm from the nearest vertice. How many edges will this body have?
Cube corners
Peter cut the wooden cube with edge 100 cm in 2 corners of the cube with edge 5 cm. How many cubes of edge 5 cm can Peter even be cut?
Rotating cone
Calculate the volume of a rotating cone with base radius r=18 cm and height h=20 cm.
Conserving water
Calculate how many euros are spent annually on unnecessary domestic hot water, which cools during the night in the pipeline. The residential house has 223 m of hot water pipelines 1" and the hot water has a price of 14.6 Eur/m³.
Truncated cone
Calculate the volume of a truncated cone with base radiuses r₁=19 cm, r₂ = 11 cm, and height v = 5 cm.
Copper sheet
The copper plate has a length of 2.2 m, width 92 cm, and weighs 5.6 kg. What is the plate thickness if 1 m³ weighs 8732 kg?
Copper plate
Copperplate length 9 m and width 56 cm weigh 48.38 kg. What is the plate thickness if 1 m³ of copper weighs about 8700 kg?
Precipitation - milimeters
The total precipitation for one day reached 22 mm. How many hectoliters of water have rained on a rectangular garden measuring 32 m and 45 m?
Total displacement
Calculate the total displacement of the 12-cylinder engine with the diameter of the piston bore B = 8.9 cm and stroke S=1.9 cm of the piston. Help: The crankshaft makes one revolution while the piston moves from the top of the cylinder to the bottom and b
Pool pump filling
A block-shaped pool that is 25 m long, 12 m wide, and 180 cm deep is to be filled with draft so that the water level is 20 cm below the edge. How long will it take to fill the pool if we use 2 pumps, each with a "power" of 125 l/min?
Castle model
The castle model has a cone-shaped roof. The cone side is 45 cm long, and the base radius is 27 cm. a) What is the roof volume? b) How much dm² of wallpaper is used to glue the roof, i.e., the cone shell? c) What is the roof's weight if it is made of wood
Flowerpot
The block-shaped flowerpot has external dimensions: length 1.25 m, width 10 cm, and height 11 cm. The thickness of the boards from which it is made is 0.8 cm. How many liters of soil is needed to fill it 1 cm below the top edge? What surface do we have to

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