Solid geometry, stereometry - page 20 of 123
Number of problems found: 2442
- Consecutive members
The block has a volume of 1728 cm³. Determine the lengths of the edges a, b, and c of the blocks for which a < b < c and a + b + c = 38 cm and whose numerical values in cm represent three consecutive members of the geometric sequence. - Shell area cy
The cylinder's shell area is 300 cm square, and its height is 12 cm. Calculate its volume. - Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach? - Water level
How many cm will the water level in a cube-shaped tank with an edge of 3 m drop if we discharge 189 hl of water? - Barrel with water
The water barrel weighs 52 kg. When we pour a quarter of the water, the barrel’s weight is reduced to 40 kg. Determine the weight of the empty barrel. - Wetted Bottle Area
There is half a liter of water in the cylinder-shaped bottle. The bottle has an inner diameter of 10 cm. What is the area of the wetted part of the bottle? - Vase height volume
The cylindrical vase has a volume of 1 l. If its base has an area of 0.5 dm2, calculate its height. - Block side lengths
The block volume is 1440 cm3, its surface is 792 cm2, and the area of one of its walls is 92 cm². Calculate the lengths of its sides. - Box cube paper
The open box has the shape of a cube. We used 80 dm² of paper to glue on it. What is the volume of this box? - Cuboid height volume
A cube has an edge of 30 cm. The cuboid has dimensions of the lower base, 45 cm, and 10 cm. What is the height of a cuboid if it has the same volume as a cube? - Cube water height
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level? - Container with water
The cube-shaped container is filled with water to half its height. If we add 20 liters of water, the company will fill the container to three-quarters of its height. What is the volume of the whole container? - Bottle
A company wants to produce a bottle with a capacity of 1.25 liters. Find the dimensions of a cylinder that will be required to produce this 1.25 liters if the height of the cylinder must be five times the radius. - Spherical tank
The water tower tank is a sphere with a radius of 35ft. If the tank is filled to one-quarter full, what is the height of the water? - Cuboid
Cuboid has a surface of 516 cm². Side a = 6 cm and b = 12 cm. How long is the side c =? - Cylindrical tank
The cylindrical tank holds 600hl water and is deep 2.5 m. Calculate the diameter of the cylinder. - Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water? - Three dice
When you throw three dice was, the sum total of the dice 10. The yellow dice fell one eye more than on the red, and brown fell three eyes less than red. How many eyes fell on every dice? - Aquarium volume half
Paul has a cube-shaped aquarium with a volume of 240 liters. Thomas has an aquarium whose all dimensions are half the dimensions of Paul's aquarium. What is the volume of Thomas's aquarium? - Cylinder cube water
We placed the largest possible lead cylinder inside a 1-litre cubic container. How many decilitres of water will now fit in the container?
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