Solid geometry, stereometry - page 25 of 120
Number of problems found: 2399
- Transported 20543
How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used car is 2 tons? The clay density is 1,800 kg/m². - Dimensions 67534
Peter has an aquarium at home in the shape of a cuboid with 6 x 3 dm bottom dimensions and a height of 4 dm. They filled the aquarium with water according to the seller's order, 5 cm below the edge. A) The maximum number of fish can be raised in it if 1 f - Concrete curb
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg? - The inflated
The inflated gymnastic ball should have a diameter of 65 cm. How many times do we have to pump air into a full-blown ball with a bicycle inflator to inflate it if the working volume of the inflator is a cylinder with an inner diameter of 2 cm and a height - Dimensions 3155
Míša bought an aquarium in the shape of a cuboid with bottom dimensions of 30 cm x 15 cm and a height of 20 cm. The seller advised him to fill the aquarium with water only to a height of 15 cm. How many swordfish can Micho buy for the aquarium if he knows - Air
The room is 35.6 m long, 19.6 dm wide, and 591 cm high. How many people can simultaneously be in this room if, for hygiene reasons, is calculated 5000 dm³ of air per person? - Measuring 16183
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg?
- Strawberries - pulp
Marta and Alice bought their children strawberries. They ate most of them, each making pulp from the remaining strawberries. Marta filled her entire cube-shaped container with dimensions 5.2cm, 1dm, and 8.3cm; Alice had a cube-shaped container with an edg - Quadrilateral 44731
The pit for ecological waste has the shape of a regular quadrilateral prism. The supporting edge is 5 meters long. The depth of the pit is 3.5 m. The company enlarged the pit by extending the base edges by 50 cm. By how much m³ has the amount of waste tha - Aquarium 6182
The aquarium, 60 cm long, 30 cm wide, and 40 cm high are filled with water up to 9/10 high. How many fish can there be if everyone needs at least 3 liters of water? - Transported 35203
The zombie column, which is shaped like a cylinder in the square, is 8 m high and has a diameter of 70 cm. I need to find out its weight. It will be transported by a truck with a load capacity of 8 tons. - A flower pot
The concrete flower pot has the shape of a cube with an edge of 45 cm, and the thickness of the walls and bottom is 4 cm. A) Calculate the clay volume in the flowerpot if it reaches 3cm below the rim. B) Calculate the weight of the flowerpot if the concre - Boards 5926
How much do we pay for 15 pieces of boards 6 m long, 15 cm wide, and 25 mm thick if 1 m³ of boards costs 130 €? Round the price to the whole of €. - The excavation The excavation for the city sewer was 38 m long, 2.2 m wide, and 3 m deep. a) How many cubic meters of soil were dredged b) How many journeys had to be made by one car when removing the soil if they loaded an average of 4.5 m of cubic soil on each journey
- The wall
We have to build a cuboid wall with dimensions based on 30 cm and 45 cm and a height of 3.25 meters. Calculate how many we need bricks if we spend 400 pieces of bricks to 1 m³ of the wall.
- A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that - Playstation
Anton wants to cover the cover for the game on the Playstation with the original paper. The cover is shaped like a block measuring 13 cm × 17 cm × 15 cm. Anton bought 0.35 m² of silver paper. Will the paper be enough to cover the cover? (1 = Yes, 0 = No) - Rectangle 3148
The garden tank is filled to the brim with water. The bottom of the tank is a rectangle with sides of 150 cm and 160 cm, and the height of the tank is 0.8 m. How many 15 l cans can we use to empty the garden tank? - Without 8260
The ice cream sundae glass has a cone shape. Its height without legs is 9 cm, and its radius is 5 cm. Šimon bought eight scoops of ice cream, which all melted in the sun. One scoop of ice cream has a volume of 32 cm³. How many cm³ of melted ice cream will - Dana and sandbox
Dana helped her dad build a sandbox for her younger sister. The sandbox is shaped like a rectangular prism, 4 1/2 feet long and 4 feet wide. Dana used bags of sand to fill the sandbox 1/2 of a foot deep. Each bag contained 1/2 of a cubic foot of sand. How
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