Solid geometry, stereometry - page 84 of 117
Number of problems found: 2330
- The golf
The golf ball with a diameter of 43 mm is packed in a cube-shaped box. What percentage of the box volume is made up of a ball?
- Cylinder melted into cuboid
A circular cylinder has an area of cross-section of 56 cm², and the height is 10cm. The cylinder is melted into a cuboid with a base area of 16 cm². What is the height of the cuboid?
- Calculate 65804
Calculate the surface and volume of a rotating cone, the base of which has a diameter of 6 cm and a height of 4 cm.
- Hexagonal 29141
Calculate the volume and surface of a regular hexagonal prism with a base edge a = 30 m and a side edge b = 50 m.
- Calculate sphere cap
Calculate the surface of a spherical cap with a height of 6 cm and a radius of 15 cm
- Calculate 4S pyramid
Calculate the surface area and volume of a regular 4-sided pyramid with a base edge of a = 12 cm and a height of v = 5 cm.
- Dimensions 83135
The large aquarium is shaped like a cuboid and has dimensions in the ratio 5: 7: 4. The sum of the lengths of all edges is 96 dm. How many liters of water will be in the aquarium if it is filled to four-fifths?
- Identical 81642
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm?
- Triangular 80766
Calculate the volume of a regular triangular prism whose height is equal to the length of the base edge. Calculate the volume for the edge length a = 6 cm.
- Quadrilateral 69834
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm.
- Inscribed cube
A cube is inscribed in a sphere with a radius of 27 cm. Calculate its volume and surface area.
- Three-quarters of a tank
The oil tank is shaped like a cylinder with a height of 8 m and a diameter of 4 m. It is three-quarters full. How much oil is in it?
- Diameter of a cylinder
The diameter of the cylinder is 42 cm. How many times does the cylinder turn on a 66 meters long track?
- Colored paper
Can a 4 cm, 3 cm, and 2 cm block be glued with a colored quarter of paper measuring 7 cm and 8 cm?
- Cube - wall
V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky?
- Cube 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube?
- Determine 3784
The teacher brought to class two wooden models of cones, which were made of the same type of wood. The first model weighed 800g. The other had twice the base radius but half the height. Determine the mass of the second cone in grams.
- Cube, cuboid, and sphere
Volumes of a cube and a cuboid are in a ratio of 3:2. Volumes of a sphere and cuboid are in a ratio of 1:3. At what rate are the volumes of a cube, cuboid, and sphere?
- Rotary cylinder
The rotating cylinder has a surface area of 69.08 cm². The area of the shell is 62.8 cm ². What is the diameter of the cylinder?
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