Solid geometry, stereometry - page 28 of 121
Number of problems found: 2404
- Cylindrical pool
The Novak family bought a cylinder-shaped pool with a base radius of 200 cm and a volume of 31.4 hl. Could the grandson safely jump if he is 120 cm tall?
- Tank full
Two hl of water were poured into a block-shaped tank with dimensions of 450 mm and 600 mm and a height of 900 mm. How many liters of water need to be added to keep the tank full?
- Cylinder 19723
Pool in the shape of a cylinder with a diameter of 10 meters and a height of 1m 80cm. How long will it be filled with a pipeline with a flow rate of 5,000 liters per hour?
- Identical 36423
We glued the letter T from two identical wooden blocks, 5 cm x 5 cm x 10 cm, and wanted to paint it. How big will it be?
- Barrel-shaped 20903
The barrel-shaped barrel has a base diameter of 6 dm and a height of 1.2 m. How many 5-liter buckets will we fill to 3/4 height?
- Dimensions 4504
How to calculate how many cylinders up to 1m³ are needed? Dimensions 9.5 cm x 30 cm.
- An aquarium
An aquarium tank that measures 2.4 m high, 6 m long, and 1.5 m wide and is filled with water. The density of water is 1,000 kg/m³. What is the mass of the water in the tank?
- Water block
A block with a 50 cm² base is filled with water 5 cm under the edge. How many sugar cubes with a 2 cm edge can be thrown into a container that overflows with water?
- Living room
How many people can live in a room with dimensions a = 4m, b = 5m, c = 2.5m if one person needs 15m cubic space (e.g., air)?
- Cuboids in cube
How many can cuboids with dimensions of 6 cm, 8 cm, and 12 cm fit into a cube with a side of 96 centimeters?
- Volume of an apple
How many apples will fit in a box measuring 20 cm × 50 cm × 25 cm?
- Cube-shaped 81332
The gardener collects rainwater in a cube-shaped container with an edge length of 80 cm. How many 16-liter buckets will he fill with water from a full reservoir?
- Dimensions 69774
Will a car with a load capacity of 3.5 t carry 50 oak planks and dimensions of 30 cm, 4 m, and 30 mm at a time?
- Five-liter 11431
How many five-liter buckets will empty the pool measuring 2.4m and 2.8m, and 1.4m deep?
- Largest 6886
There are two cubes. One has an edge of 9 dm and the second of 9 cm. How often does the largest cube have a larger volume than a smaller one?
- Pillar 4
The pillar is 10 meters high. The edge is 90 cm. How many bricks are needed to build it? 1 brick has a volume of 1.2 dm³.
- Deciliters - balls
We placed 10 layers of 100 balls with a diameter of 1 cm in a cube-shaped aquarium with an inner edge length of 10 cm. How many deciliters of water could still fit in the aquarium?
- Winch
The steel rope has a diameter of 6mm and a length of 20m. We are winding it on a drum width of 60 mm, with a starting diameter of 50 mm. What is the final diameter after winding?
- Three cubes
The body was created by gluing three identical cubes. Its volume is 192 cm³. What is its surface in dm²?
- Cremons
The freight wagon is shaped like a cuboid 21m, 3.5m, and 4.2m. How many cube-shaped dorts can be loaded if one is a cube with an edge length of 7 cm?
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