Solid geometry, stereometry - page 18 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
- Snow
Snow fell overnight layer of thickness 19 cm. In the morning, I had to clear a path 69 m long and one meter wide. How many cubic meters of snow do I clear? How many kilos was it? (1 m³ fresh snow weighs 350 kg) - Concrete box
The concrete box with walls thick 7 cm has the following external dimensions: length 1.8 m, width 44 cm, and height 46 cm. How many liters of soil can fit if I fill it to the brim? - Water pool
What is the water level in the pool-shaped cuboid with bottom dimensions of 25 m and 10 meters? When is 3750hl water in the pool? - Painter
How many euros will we pay for repainting the room-shaped cuboid with a length of 4.5 meters, a width of 2.5 meters and a height of 3 meters, if for one m² with paint we pay € 1.5?
- Water lake
The length of the lake water is 8 meters, width 7 meters, and depth 120 centimeters. How many liters of water can fit into the water lake? - Sphere area
A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere. - Water well
Drilled well has a depth of 20 meters and a 0.1 meters radius. How many liters of water can fit into the well? - Tray
What height reaches the water level in the tray shaped as a cuboid if it is 420 liters of water and the bottom dimensions are 120 cm and 70 cm? - 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. - Tin with oil
Tin with oil has the shape of a rotating cylinder whose height is equal to the diameter of its base. The canned surface is 1884 cm². Calculate how many liters of oil are in the tin. - Fire tank
How deep is the fire tank with the dimensions of the bottom 7m and 12m, when filled with 420 m³ of water? - Juice box 2
The box with juice has the shape of a cuboid. Internal dimensions are 15 cm, 20 cm, and 32 cm. Suppose the box stays at the smallest base juice level and reaches 4 cm below the upper base. How much internal volume of the box fills juice? How many cm below
- Water level
How high reaches the water in the cylindrical barrel with a diameter of 12 cm if there is a liter of water? Express in cm with an accuracy of 1 decimal place. - 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? - Greenhouse
The Garden plastic greenhouse is shaped half-cylinder with a diameter of 6 m and a base length of 20 m. At least how many m² of plastic is needed for its cover? - Garden pond
The concrete garden pond has the bottom shape of a semicircle with a diameter of 1.7 m and is 79 cm deep. Daddy wants to make it surface. How many liters of water are in the pond if the water level is 28 cm? - Tank
The tank bottom has dimensions of 1.5 m and 3 2/6 m. The tank is 459.1 hl of water. How high is the water surface?
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