Solid geometry, stereometry - page 22 of 114
Solid geometry is the name for the geometry of three-dimensional Euclidean space.Stereometry involves the measurements of volumes of various solid figures (three-dimensional figures), including pyramids, prisms, and other polyhedrons; cylinders; cones; truncated cones; and balls bounded by spheres.
Number of problems found: 2265
- 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. - 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. - 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? - 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. - 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? - Liters 44031
What is the width of a block with volume V = 600 liters, if a = 120cm, b = 50cm? - Circumference 27581
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume. - 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 - Cylindrical 7942
The cylindrical container should have a volume of 1 liter, and its height will be 15 cm. What will be its average? - Cylindrical 3394
The cylindrical container with a diameter of 1.8 m contains 2000 l 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? - 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? - Revolution 81339
The rotating cone has a volume of 120 dm³. How tall is a cylinder of revolution with the same volume as a cone of revolution? - Length 46191
We poured 12 l of water into a cube with an edge length of 30 cm. How high is the water level? - Rollers 40841
Two rollers weigh the same as three dice. One roller with two dice weighs the same as three with a weight of 250 grams. How many grams does the roller weigh, and how many dice? - Dimensions 23571
The block has the dimensions a = ?, b = 10 m, c = 6.2 m, the surface is 192.04 m². What is the length of side a? - 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? - 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) - Reducing 13291
The surface of the cube is 96 cm². What will be the cube's surface that we get by reducing each edge by 1 cm? - Container 7939
What diameter will a 20 cm high cardboard juice container have to fit half a liter?
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