Solid geometry, stereometry - page 10 of 121

Number of problems found: 2410

Aquarium water calculation
The square-shaped aquarium is 65 cm long, 24 cm wide, and 30 cm high. How many liters of water are in an aquarium if the water reaches 5 cm below its upper edge?
Sphere aquarium volume
The aquarium has the shape of a sphere with a diameter of 36 cm. Estimate and then calculate how many liters of water will fit in the aquarium when we fill it to the brim.
Net of a cube
We can fold this net to form a cube with a side length of 20 units. What is the surface area of the cube in square units?
Pool filling time
The pool is cylindrical, with a diameter of 3.6 meters and a depth of 1.2 meters. How long will it be filled when 2 liters of water flow in 1 second?
Oak trunk
Calculate in tonnes the approximate weight of a cylindrical oak trunk with a diameter of 66 cm and a length of 4 m, knowing that the density of the wood was 800 kg/m³.
Rain
Garden shape of a rectangle measuring 15 m and 20 m rained water up to 3 mm. How many liters of water rained in the garden?
Block volume calculation
Calculate the block's volume in liters with edge lengths of 3dm, 15cm, and 120mm.
Body volume calculation
When the body was immersed in a cylindrical vessel filled with water, the water level in the vessel rose by 28 mm. Calculate the volume of the immersed body if you know that the diameter of the bottom of the container is 8 cm.
Cylindrical container
The cylindrical container has a height of v = 85 cm. The diameter of the container is 8 cm. How many liters of water will fit in this container when it is half full?
Pump water tank
The pressure pump delivers two cubic meters of water to the block-shaped water tank in 1 minute. The tank has a 7 m and a width of 5 meters. How much water does it draw in 1 hour? How high does the water reach in the tank?
Cube surface volume
A) The wooden cube has an edge 14.7 cm long. Calculate its surface area and volume. B) The metal cube's inner edge is 13.6 cm long. How many cm of water can fit in it?
The oil tank
The oil tank in the factory hall has the shape of a cylinder 8 m high and 4 m in diameter. It is three-quarters full. How much oil is in it?
The largest
We cut the largest possible cylinder from a 20 cm cube. What is the volume of this cylinder?
Surface of the cube
Find the surface of the cube that has volume 1/1m³ 2/0.001 m³ 3/8000 mm³
Pool pipe filling
A block-shaped pool with bottom dimensions of 12 m and 20 m and a depth of 2 m is filled with two pipes. The first pipe flows 6 l of water per second, the second 2.4 hl per minute. How many hours and minutes will the pool be filled 40 cm below the edge?
Liquid
How much liquid does the rotary cylinder tank hold with a base diameter of 1.2m and height of 1.5m?
Tank oil calculation
The tank is shaped like a block measuring 80 cm, 30 cm, and 20 cm. The oil level is 6 cm below the edge. Find the amount of oil in the tank in liters.
Tank water height
The block-shaped tank with bottom dimensions of 2.5 m and 2 m is empty. The inflow flows into the tank with 10 l of water per second. How high will the water be in the tank if it flows in for 3 minutes and 20 seconds?
Half-filled
A cylindrical pot with a diameter of 24 cm is half-filled with water. How many centimeters will the level rise if we add a liter of water to it?
Hemisphere - roof
The shape of the observatory dome is close to the hemisphere. Its outer diameter is 11 m. How many kilograms of paint and how many liters of thinner are used for its double coat if you know that 1 kg of paint diluted with 1 deciliter of thinner will paint

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