Solid geometry, stereometry - page 94 of 121
Number of problems found: 2404
- Granite sidewalk
On the sidewalk, 3 m wide and 8 m long, 2 m³ of mosaic stone (granite cubes) was used. The master of tiles had to pave the sidewalk 2.5 m wide and 65 m long. How much m³ of the stone does it consume? - Parameters 28521
The basic parameters of the rotating cone are: Base radius 5 cm The cone height is 12 cm, and the cone side is 13 cm. Calculate: a/volume of the cone b/cone surface - Radius of a sphere
We turned a sphere with the largest possible radius from a cube with an edge length of 8 cm. Calculate the volume of the cube, the ball, and the percentage of waste when turning. - Dimensions of an aquarium
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths? - Tanks
The fire tank is cuboid in shape, with a rectangular floor measuring 13.3 m × 14.7 m. The water depth is 1.9 m. Water was pumped from the tank into barrels with a capacity of 5 hl. How many barrels would have been used if the water level in the tank - Carefully 12791
Spruce logs with a diameter of 270 mm and a length of 4 m are carefully loaded onto a wagon with a bed width of 2,700 mm and stacked in 9 layers. How much does such a load of spruce wood weigh if its density is 700 kg/m³? - Surface of a cube
The cube's edge, the volume of which is 58.3% of its surface, is: a) 3.5cm b) 4.5cm c) 2.5cm d) 1.5cm - Cylinder's 83130
Calculate the cylinder's volume if you know that the ratio of the cylinder's height to the base's radius is 3:2 and the height is 15 dm. - Cube-shaped 81931
A ball with a diameter of 10 cm is in a cube-shaped box with an edge of 10 cm. What percentage of the box does the ball fill? - Percentage 39373
A sphere is placed inside the 10 cm cube to touch all the cube's walls. What percentage of the volume of a cube makes up the volume of a sphere? - Sphere radius
We reduce the radius of the sphere by 1/3 of the original radius. How much percent does the volume and surface of the sphere change? - Cube surface area
The cube's surface was originally 216 centimeters square. It has shrunk from 216 to 54 centimeters square. Calculate the percent change in the edge of the cube. - Cuboid-shaped 27421
The cuboid-shaped aquarium has the dimensions of the bottom: a = 0.7 m, b = 0.4 m. if it is filled to 90% of its volume and contains 75.6 liters of water? - Water container
The container with water weighs 1.48 kg when we cast 75% of the water content of water weight 0.73 kg. How heavy is an empty container? - Barrel 3
The barrel with water weighs 118 kg. When we get off 75% of water, it weighs 35 kg. How many kg has an empty barrel? - Inscribed 6155
A cylinder with a height equal to half the height of the cone is inscribed in the rotating cone. Find the volume ratio of both bodies. - Prism dimensions
We will double one block dimension and reduce the other by a third. How does its volume change? - Carpenter
A carpenter cut off a small cuboid block with half the edge length from a wooden block. How many percent of wood did he cut off? - Surface of cubes
Peter molded a cuboid of 2 cm, 4cm, and 9cm of plasticine. Then, the plasticine was split into two parts in a ratio of 1:8. From each piece, a cube was made. In what ratio are the surfaces of these cubes? - Inscribed sphere
How much % of the volume of the cube whose edge is 6 meters long is the volume of a sphere inscribed in that cube?
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