Solid geometry, stereometry - page 25 of 121
Number of problems found: 2410
- 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 - Oven carrying weight
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? - 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) - 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? - Tank cans
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? - Flowerpot volume soil
Calculate the volume of the flowerpot in the shape of a quadrilateral prism and how many 20 l packages of soil need to be bought to fill it: dimensions: a = 30cm, height b = 40cm, length c = 120cm. - 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 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 - 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 - 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? - Ice Cream Cone Volume Melt
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 - Aquarium Fish Capacity
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? - Tank 30
A water tank has the shape of a cuboid with a square shape with a side of 2m. The depth of the tank is 3m. How many more liters of water can fit in the tank if both its base edges are increased by 1m and the tank is deepened by half a meter? - 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 - 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? - 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 - Spoon volume calculation
The spoon has the shape of half a spherical surface with a radius of 50 mm. What volume of fluid does it fit when filled to the brim? - Aquarium Stone Volume Fit
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) - Block Dimensions Volume Change
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm?
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