Solid geometry, stereometry - page 22 of 121

Number of problems found: 2404

Swimming pool
The pool shape of a cuboid is 237 m³, full of water. Determine the dimensions of its bottom if the water depth is 199 cm, and one bottom dimension is 4.8 m greater than the second.
Cylindrical 66114
The cylindrical vase has a volume of 1 l. If its base has an area of 0.5 dm², calculate its height.
Dimensions 48033
A cube has an edge of 30cm. The cuboid has dimensions of the lower base, 45cm, and 10cm. What is the height of a cuboid if it has the same volume as a cube?
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.
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?
Calculate 62864
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.
Dimensions 8111
The sum of the lengths of all block edges is 4m. The width is twice the length, and the height is seven times the width. Determine the dimensions of the block. Thank you luck
Cone - bases
The volume of the cut cone is V = 38000π cm³. The radius of the lower base is 10 cm larger than the radius of the upper base. Determine the radius of the base if height v = 60 cm.
Water tank
300 hl of water were filled into the tank 12 m long and 6 m wide. How high does it reach?
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.
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?
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 aquarium
Cuboid 25 times 30 cm. How long does the cuboid's third side contain 30 liters of water?
Deciliters 66324
We placed the largest possible lead cylinder in a 1-liter cube container. How many deciliters of water will now fit in the container?
Half-height 18253
The cylinder has a volume of 200 liters. What is the volume in liters of a second cylinder twice as wide and half-height? (π = 3.14)
A dumpster
A dumpster is shaped like a rectangular prism. It is 8 feet wide, 5 feet high, and has a volume of 880 cubic feet. What is the length of the dumpster?
Ice cream in cone
The ice cream cone with a diameter of 5.4 cm is 1.2 dl of ice cream. Calculate the depth of the cone.
Third dimension
Calculate the third dimension of the cuboid: a) V = 224 m³, a = 7 m, b = 4 m b) V = 216 dm³, a = 9 dm, c = 4 dm
How high
How high does a prism with base dimensions of 1.7 dm and 5 dm reach if 1032 dm cubic will fit?
3rd dimension
The block has a surface of 42 dm², and its dimensions are 3 dm and 2 dm. What is the third dimension?

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