Solid geometry, stereometry - page 26 of 120
Number of problems found: 2399
- Bathtub
Kevin has a bathtub shaped like a block. It measures 70 cm long, 45 cm wide, and 50 cm high. The bathtub will be filled with clean water 3/5 of its height. The clean water needed is…. - The soup pot
The soup pot is shaped like a cylinder with a bottom diameter of 30 cm and a height of 36 cm. How many people is the soup enough if the pot is filled to ¾ height? It is calculated with 0.25 l of soup for one person. - Hectoliters 32941
Behind the house stands a barrel with 0.25 hectoliters of water. The father gradually takes 12 liters of fragile water from it for watering until the last 10 liters of water remain at the bottom. At most, how many full kegs could the father fill from this - Cylinder pot
The cylinder-shaped pot has a bottom diameter of 28 cm and a height of 36 cm and is two-thirds full of tea. Will this tea be enough for 50 children if we serve it in full 3 dl glasses? - Iron fence
One field of iron fence consists of 20 iron rods with a square cross-section of 1.5 cm side and a long 1 meter. How much weight does a field have if the density of iron is 7800 kg/m³? - Pool
The swimming pool is 10 m wide and 8 m long, and 153 cm deep. How many hectoliters of water are in it if the water is 30 cm below its upper edge? - Cross-section 5089
The brick pillar with a cross-section of 41x77 cm has a height of 3.25 m. Calculate: (a) the volume of the pillar b) the required number of bricks (if we need 400 pieces per 1 cubic meter)
- The cylindrical container
The cylindrical container has a base area of 300 cm³ and a height of 10 cm. It is 90% filled with water. We gradually insert metal balls into the water, each with a volume of 20 cm³. After inserting, how many balls does water flow over the edge of the con - Surface 45911
A large cube with an edge of length 3 is given. One small cube with a volume 27 times smaller than the volume of the large cube is glued to each of its faces. All the small cubes touch the big ones through the wall. What surface does this body have? - Dimensions 16573
They drained the water from the full tank through three holes. 1/6 of the tank volume flowed through the first hole, 2/5 of the volume through the second hole, and 1/4 of the volume through the third hole. The tank has the shape of a cuboid with dimension - Measuring 69764
You need to count 3 liters of water for one fish in the aquarium. Jaroslav has an aquarium measuring 80 cm x 50 cm with a height of 45 cm. Determine the maximum number of fish Jaroslav can keep in this aquarium if the water level reaches 5 cm below the to - Material 7608
The inner radius of the oven is r1 = 15cm, the outer radius is r2 = 20cm, and the length is 227cm. Can one person take it if its material density is 2.8 g / cm cubic? - Wooden block
A cuboid-shaped wooden block has a 6 cm length, 4 cm breadth, and 1 cm height. Two faces measuring 4 cm x 1 cm are colored in black. Two faces measuring 6 cm x 1 cm are colored in red. Two faces measuring 6 cm x 4 cm are colored in green. The block is div - Water overflow
A rectangular container has a length of 30 cm, a width of 20 cm, and a height of 24 cm. It is filled with water to a depth of 15 cm. Some water overflows when an additional 6.5 liters of water is poured into the container. How many liters of water overflo - Insulating 25471
The septic tank is 6 m high and 2.4 m in diameter. If the painter consumes 1 kg per 5 m² and the paint is delivered in two kg cans, how many packages of insulating paint must he order?
- Aquarium 7098
The zoo has an aquarium with a length of 2.5 m, a width of 1.5 m, and a depth of 2 m. The water reaches 3/4 of the height of the aquarium. Can we put a 2 m³ stone in the aquarium without the water spilling out of the aquarium? (1=Yes, 0=No) - Waste container eco
The waste box is shaped like a block and has dimensions of 1.8 m, 1.5 m, and 1.2 m. If 0.25 m³ of waste is added to it every day, how many days will it be filled? - Alice 2
Alice decided to plant geraniums in the spring. She bought one fifty-liter package of soil and also cuboid-shaped boxes with bottom dimensions of 1 m and 15 cm and a height of 17 cm. She wants to fill the boxes with soil only to a height of 2 cm from the - Wax candles
A company makes wax candles in the shape of a cylinder. Each candle has a diameter of 4 inches and a height of 7 inches. If the company used 7561.12 in³ of wax, how many candles did it make? Use 3.14, and do not round your answer. - Oceans
The Earth's surface is approximately 510,000,000 km² and is 7/10 covered by oceans. Of which 1/2 covers the Pacific Ocean, the Atlantic Ocean 1/4, the Indian Ocean 1/5, and the Arctic Ocean 1/20. What parts of the Earth's surface cover each ocean?
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