Solid geometry, stereometry - page 23 of 123
Number of problems found: 2442
- Pyramid volume change
How does the volume of a pyramid change if we triple its height? - Sphere - diameter
What is the diameter of a 1 m³ sphere? Write in decimetres - Cube edge volume
Calculate the edge of a cube with a volume of 150 cubic cm. - Dimension of the cabinet
The cabinet has a volume of 5.4 m3, a height of 2 m, and a width of 1.5 m. What is the third dimension of the cabinet? - Ermine - road
The Ermines had been waiting for years for the road in their street to be repaired. Little Jirka did not let this event pass him by and watched everything carefully from the window. On the road 120 m long and 6 m wide, trucks with asphalt began to pull up - Concrete curb
The concrete curb has a width of 20 cm at the bottom and 15 cm at the top. It is 20cm tall. Its length is 80 cm. The density of concrete is p=2100kg/m³. How many can Mr. Havlík load on a trailer for a car if the trailer has a load capacity of 400 kg? - Family 5
The Plavecký family built a pool which is 120 cm deep. a/The bottom of the pool has a thickness of 10 cm, the side walls 20 cm. The pool has the shape of a cuboid with a base of 3 m x 5 m. How many cubic metres did they use for its construction? b/Their s - Everything in soup
The pot with soup is shaped like a cylinder with a bottom diameter of 20 cm and a height of 24 cm. How many guests will we have enough soup for if the pot is filled to two-thirds of the height and 0.25 l of soup is calculated per person? (pay attention to - Aquarium fish water
Peter has an aquarium at home in the shape of a cuboid with 6 x 3 dm bottom dimensions and a height of 4 dm. They filled the aquarium with water according to the seller's order, 5 cm below the edge. A) The maximum number of fish can be raised in it if 1 f - A metal
A metal cylinder is inserted into the cube with a 20 cm edge so that the cylinder shell. Its two bases are in close contact with the cube's walls from the inside. How much water could be poured into the free space between the cube and the cylinder so that - Excavation car transport
How many cars will the dirt be transported in an excavation 10 m long, 11 m deep, and 70 cm wide if the load capacity of each used car is 2 tons? The clay density is 1,800 kg/m². - Pool excavation transport
The Mokry family wants to build a pool in the garden, which has the shape of a cuboid with dimensions of 3 m wide, 5 m long, and 1.20 m deep. They need to dig a hole whose dimensions will be 70 cm larger than the dimensions of the pool. How often does the - Cat litter
Dominik teaches his kitten to go to the cat toilet for litter. He needs to fill the toilet halfway, but he needs to know how many bales of litter to buy. Please advise him if you know that the toilet has a bottom measuring 0.43 m and 3.5 dm and is 11 cm d - Alice 2
Alice decided to plant geraniums in the spring. She bought one 50-litre bag of soil and also cuboid-shaped boxes with base dimensions of 1 m × 15 cm and a height of 17 cm. She wants to fill the boxes with soil to a height 2 cm below the top edge. Calculat - Truck load capacity
The load capacity of the truck is 10t. Will it carry 200 oak planks measuring 30 cm, 4 m, and 30 mm at a time if the weight of 1 dm³ of oak wood is 0.7 kg? - Plasticine ball
Plasticine balls each have a radius of r1=77 cm, r2=98 mm, r3=9 cm, r4=81 cm, r5=5 cm, r6=74 mm, r7=49 mm, r8=43 mm, r9=26 mm, r10=2 cm. They are - Storing Cubes in Boxes
Eric cleans up after playing with a cube-shaped cube with an edge of 14 cm. He cleans them into three boxes. How many cubes can fit in: 1) cuboid with edges 4.2 dm, 5.6 dm, and 7 dm? 2) a cube with an edge of 560 mm? 3) cuboid with edges 0.98 m, 2.8 dm, a - Strawberries - pulp
Marta and Alice bought their children strawberries. They ate most of them, each making pulp from the remaining strawberries. Marta filled her entire cube-shaped container with dimensions 5.2 cm, 1 dm, and 8.3 cm; Alice had a cube-shaped container with an - Aquarium fish capacity
You need to count 3 liters of water for one fish in the aquarium. Jerry has an aquarium measuring 80 cm x 50 cm with a height of 45 cm. Determine the maximum number of fish Jerry can keep in this aquarium if the water level reaches 5 cm below the top edge - 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
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