Solid geometry, stereometry - page 19 of 121
Number of problems found: 2404
- Cube 1-2-3
Calculate the volume and surface area of the cube ABCDEFGH if: a) /AB/ = 4 cm b) The perimeter of wall ABCD is 22 cm c) the sum of the lengths of all cube edges is 30 cm. - Water tank
What is the height of the cuboid-shaped tank with the bottom dimensions of 80 cm and 50 cm if the 480 liters of water reach 10 cm below the top? - Aquarium 26311
The bottom of the aquarium measures 30 cm and 50 cm. To what height will the aquarium be filled if 60 liters of water are poured into it? - Contained 46731
The diesel tank is shaped like a block measuring 4.5 m x 3.2 m. If it contained 216 hl of diesel, what was its level? - 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? - The barrel
The barrel is 135 cm high. If we fill it to a height of 60 cm, it weighs 163 kg. If we fill it to a height of 80 cm, it weighs 213 kg. How many kilograms weigh a full and how many empty barrels? - Block-shaped 6328
There are 20,000 liters of water in a block-shaped tank with 5 m and 4 m bottom dimensions. What is the water level? - Cylinder-shaped 6293
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? - Cuboid
The volume of the cuboid is 245 cm³. Each cuboid edge length can be expressed by an integer greater than 1 cm. What is the surface area of the cuboid? - Calculate 31061
The barrel holds two hectoliters of water and reaches a height of 125cm. Calculate the inside diameter of the barrel. - 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. - 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. - Liters 44031
What is the width of a block with volume V = 600 liters if a = 120cm, b = 50cm? - Cylinder-shaped 21363
82 hl of water per hour flows into the empty cylinder-shaped pool with a bottom diameter of 7.5 m. How high will the pool be filled if the water has flowed in for 4 hours? - 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. - Calculate 6275
A block with edges of lengths of 10 cm and 8 cm has the same volume as a cube with an edge of the length of 1 dm. Calculate the third dimension of the block. Compare the ratio of the surfaces of both bodies. - Height 3344
The bottom is 25m wide and 10m long, and there is 37640 hl of water. What height does the water reach?
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