Solid geometry, stereometry - page 27 of 121
Number of problems found: 2404
- Cylinder-shaped 18283
How much fabric will be needed to cover a cylinder-shaped seat with a diameter of 0.8 m, 0.6 m high (rounded up to whole square meters)
- Dimension 8307
How does the volume of a 2.5dm, 15cm, and 0.5m block change if each dimension increases by 1.5cm?
- Boxes of wafers
Wafers measuring 11 3/4 cm, 4 2/5 cm, and 1 2/3 cm are packed in rectangular boxes measuring 23 1/2 cm, 26 2/5 cm, and 6 2/3 cm. What part of the volume of the box does one wafer make up?
- The cube
The cube has a 25 cm edge. We cut it into small cubes with 5 cm long sides. How many of these little ones are left when we build a new cube of 20 cm in length?
- Stones in aquarium
The water is up to three-quarters of the depth in an aquarium with a length of 2 m, 1.5 m wide, and 2.5 m deep. Can we place 2m cubic meters of stones in the aquarium without spilling water? (0 = no, 1 = yes)
- The largest 4
The largest room in the quarantine area is 45 m long and 30 m wide. The height of the room is 15 m. If the occupancy guidelines recommend at least five m³ per person, what is the maximum number of people allowed in the room?
- Millimeters 25051
The juice is sold in cans with a radius of 30 mm and a height of 11 cm. There are 0.25 liters of juice in the cans. How many millimeters below the can lid is the level?
- Bricks
How many bricks are needed for a wall 14.5 m long, 2 m high, and 45 cm thick if 285 bricks are needed for one m³ wall?
- 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?
- Diameters 15683
How many ball shots with diameters of 2 mm can be made of 1 kg of special metal alloy with a density of r = 7550 kg/m³?
- 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?
- 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?
- 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?
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