Solid geometry, stereometry - page 93 of 120
Number of problems found: 2399
- Percentage 3481
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. - Determine 3784
The teacher brought to class two wooden models of cones, which were made of the same type of wood. The first model weighed 800g. The other had twice the base radius but half the height. Determine the mass of the second cone in grams. - Wrapping 36303
How much will we pay for wrapping 5 boxes in the shape of a cube with a side length of 80 cm if we count on a margin of 35% for folds? The price for 1 square meter of paper is €2.55. You can only buy whole square meters. - The soap
The soap has the shape of a cuboid with dimensions of 6 cm, 4 cm, and 2 cm. Katy used it for a week and all the dimensions of the soap shrunk by half. How long will her soap last? - Increase 46473
He enlarges the side of the 8 cm long cube by 20%. How much will its volume increase compare to the original cube? - Hectoliters 3382
The block tank held 288 hectoliters of water. The bottom dimensions are 12m and 6m, and the depth is 2m. What percent of the tank volume does the water occupy? - Cylinder-shaped 3037
Nine hundred hectoliters of water were filled into the cylinder-shaped pool. The pool is 1.5 m deep, and its diameter is 10 m. What percentage of the pool volume has the water-filled?
- Liters od milk
The cylinder-shaped container contains 80 liters of milk. The milk level is 45 cm. How much milk will be in the container if the level rises to a height of 72 cm? - Calculate 8262
The barrel of water weighed 64 kg. When We poured 28% of the water from it on the first day and a third of the rest on the second day, it weighed 38 kg. Calculate the empty barrel's weight and the water's initial weight. - 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 - Approximately 5553
The Earth's surface is approximately 510,000,000 km². The forest area is about 38,000,000 km². Write a fraction in the basic form. What part of the Earth's surface is formed by the forest? - 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? - Six pipes
6 Pipes are required to fill a tank in 1 hour 20 minutes. How long will it take to use only five pipes of the same type? Give your answer in hours and minutes. - 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? - Quadrilateral 81975
The lime pit has the shape of a quadrilateral prism with dimensions of 2m, 1.8m, and 1.5m Calculate the pile volume from the excavated soil, which, due to fluffing, is 20% larger than the volume of the pit.
- 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? - 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 - Cross-sections of a cone
Cone with base radius 16 cm and height 11 cm divided by parallel planes to base into three bodies. The planes divide the height of the cone into three equal parts. Determine the volume ratio of the maximum and minimum of the resulting body. - 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? - 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?
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