Solid geometry, stereometry - page 17 of 121
Number of problems found: 2403
- Wood planks
One m³ of wood planks costs 179 EUR. How much will I pay for 11 planks measuring 6 cm, 10 cm, and 6 m? - Milimeters
The pool is 6 meters long and 3 meters wide, and the water in it is filled with water to a height of 1.7 m. When John jumped into it and completely submerged, the level had risen by 5.4 mm. How much weight does John have when we know that one liter of the - Snow
Snow fell overnight, a layer of thickness 19 cm. I had to clear a path 69 m long and one meter wide in the morning. How many cubic meters of snow did I clear? How many kilos was it? (1 m³ fresh snow weighs 350 kg) - Concrete box
The concrete box with walls thick 6 cm has the following external dimensions: length 1.6 m, width 39 cm, and height 32 cm. How many liters of soil can fit if I fill it to the brim? - 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
A drilled well has a depth of 20 meters and a radius of 0.1 meters. How many liters of water can fit into the well? - 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? - 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. - 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 is 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?
- 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? - 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 - 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 = -3x +4 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:
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