Solid geometry, stereometry - page 21 of 120
Number of problems found: 2399
- Swimming pool
The pool shape of a cuboid is 299 m³, full of water. Determine the dimensions of its bottom if the water depth is 282 cm, and one bottom dimension is 4.7 m greater than the second.
- 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.
- Hemisphere cut
Calculate the spherical layer's volume that remains from the hemisphere after the 3 cm section is cut. The height of the hemisphere is 10 cm.
- Rain
It rains at night. On 1 m² of the lake will drop 60 liters of water. How many cm will the lake level rise?
- Cylindrical bucket
The cylindrical bucket was filled 2/3 with water. You know that the diameter of the bottom is 25 cm, and the water reaches a height of 24 cm. What is the maximum amount of water that can be poured into the bucket?
- 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.
- Cuboid aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water?
- 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?
- Liters 44031
What is the width of a block with volume V = 600 liters if a = 120cm, b = 50cm?
- Centimeters 21193
What is the height of a block whose base edges are 12 centimeters long and 6 centimeters long if its volume is 360 cubic centimeters?
- Calculate 16513
The conical funnel has a volume of 0.5 liters and a height of 7 cm. Calculate the radius of its upper edge.
- Height 3344
The bottom is 25m wide and 10m long, and there is 37640 hl of water. What height does the water reach?
- Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach?
- 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?
- Length 46191
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level?
- Cylindrical 7942
The cylindrical container should have a volume of 1 liter and a height of 15 cm. What will be its average height?
- Container 7939
What diameter will a 20 cm high cardboard juice container have to fit half a liter?
- 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?
- Cylindrical 3394
The cylindrical container with a diameter of 1.8 m contains 2000 l of water. What height does the water reach?
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