Solid geometry, stereometry - page 25 of 121
Number of problems found: 2404
- Roll of wallpaper
An art student uses a roll of wallpaper to decorate two gift boxes. The student will use 3 1/3 yards of paper for one box and 5/6 yards of paper for the other box. He must cut the paper into pieces that are 1/6 yard long. How many pieces will the student
- 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
- AL wire
What is the weight of an aluminum wire 250 m long with a diameter of 2 mm, if the density of aluminum is p = 2700 kg/m cubic? Please round to the nearest gram.
- 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
- Pool
The pool is a cylinder with a diameter of 4.6 m and a presumed height of 130cm. The bucket holds 12 l of water. How many buckets do you have to bring to fill this pool?
- 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
- Millimeters 19473
In the garden of 860 square meters, 4 millimeters of water rained down. How many 10-liter pitchers would we pour this mystery on just as heavily?
- Dimensions 6631
In the toy factory, they produce dice in the shape of cubes with an edge of 3 cm from wooden prisms with dimensions of 3 cm, 3 cm, and 3 m. How many prisms do they need to make 1000 cubes?
- 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?
- The volume 6
The volume of a sphere is given by the formula 4/3 πr³ (or 4/3 *pi *r³). The value of pi is approximately equal to 3.14. What is the volume of a sphere whose radius is 4 cm? (Round of the answer to the nearest hundredths. Type the value without the unit)
- 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)
- 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.
- 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?
- Portioning ice cream
How many scoops of ice cream can we make using a scoop in the shape of a spherical canopy with a radius of 2.5 cm and a height of 4 cm. We have a 2-liter ice cream tub available. When portioning, we will follow the exact measure.
- Marbles 4
Sipho has a cylindrical tank with a radius of 8cm and a height of 10cm. The bottom of the tank is filled with marbles, and the tank is then filled with water to a height of 6,4 cm. When the marbles are removed, the water level drops to 4cm. Using the info
- 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
- 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 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
- 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
- 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.
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