Solid geometry, stereometry - page 10 of 115
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2283
- The largest
We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder? - Surface of the cube
Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm3 - Surface 18003
What is the cube's surface if the side is 5.2 cm? - Block-shaped 17203
A block-shaped pool with bottom dimensions of 12 m and 20 m and a depth of 2 m is filled with two pipes. The first pipe flows 6 l of water per second, the second 2.4 hl per minute. How many hours and minutes will the pool be filled 40 cm below the edge? - Transporting 17193
A barrel for transporting fuel has a height of 90 cm and a radius of the base of 30 cm. How many square meters of sheet metal are needed to make a barrel? - Liquid
How much liquid does the rotary cylinder tank hold with a base diameter of 1.2m and height of 1.5m? - Measuring 16553
The tank has the shape of a block measuring 80 cm, 30 cm, and 20 cm. The oil level reaches 6 cm below the edge. Find the amount of oil in the tank in liters. - Rotating cone
The rotating cone has a base diameter of 18 dm and a height of 12 dm. Calculate the volume V. - Block-shaped 16361
The block-shaped tank with bottom dimensions of 2.5 m and 2 m is empty. The inflow flows into the tank with 10 l of water per second. How high will the water be in the tank if it flows in for 3 minutes and 20 seconds? - Half-filled
A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it? - Hemisphere - roof
The shape of the observatory dome is close to the hemisphere. Its outer diameter is 11 m. How many kilograms of paint and how many liters of thinner are used for its double coat if you know that 1 kg of paint diluted with 1 deciliter of thinner will paint - Aquarium
Try to estimate the weight of the water in an aquarium 50cm long and 30cm wide when poured to a height of 25cm. Find the weight of the aquarium's water. - Volume of the cone
Find the volume of the cone with the base radius r and the height v. a) r = 6 cm, v = 8 cm b) r = 0,9 m, v = 2,3 m c) r = 1,4 dm, v = 30 dm - Dimensions 15133
The aquarium has the dimensions a = 250 cm b = 50 cm c = 60 cm water is poured into the aquarium up to 45 cm. Do you calculate how many liters of water are in the aquarium? - Calculate
Calculate the surface of a regular quadrilateral prism whose base edge is 2.4dm and the height of the prism is 38cm. - Surface area of a cube
What is a cube's surface area with an edge of 3.5? - Cylinder
The 1.8m cylinder contains 2000 liters of water. What is the area (in dm2) of this container is the water? - Quadrilateral 14093
The tent has the shape of a mantle of a regular quadrilateral pyramid with a base edge of a = 3.5 meters and a height of 2.4 meters. How many cubic meters of air does it contain? - Swimming pool
The swimming pool has the shape of a block with dimensions of 70dm, 25m, and 200cm. How many hectoliters of water can fit into the pool? - The cuboid
The cuboid is full to the brim with water. The external dimensions are 95 cm, 120 cm, and 60 cm. The thickness of all walls and the bottom is 5 cm. How many liters of water fit into the cuboid?
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