Solid geometry, stereometry - page 81 of 121
Number of problems found: 2404
- Rotating 28501
Which bags shaped like the shell of a rotating cone can hold the most popcorn? The first bag has a height of 20 cm, and the length of its side is 24 cm. The second bag has a base radius of 10 cm and a height of 25 cm. - Quadrilateral prism
The diagonal of section DBFH of the regular quadrilateral prism ABCDEFGH inscribes a circle with a diameter of 8 cm. What is the volume of the prism? - Quadrilateral pyramid
Calculate the surface area and volume of a regular quadrilateral pyramid whose base edge is 5 cm long and whose height is 10 cm. - The cone - S,V
Calculate the volume and surface area of the cone if its radius r = 6 cm and side s = 10 cm. - 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 6
The surface area of one wall cube is 1600 cm square. How many liters of water can fit into the cube? - Task
I have homework. The cube's edge is 14 cm long, and I must find the diagonal between the wall and the body. - Equilateral cone
A cup has the shape of an equilateral cone (side “s” is the same size as the diameter of its base - the axial section is an equilateral triangle) It is supposed to hold 0.2 liters of liquid at a level 1 cm below the rim. Calculate its diameter - Faces diagonals
Find the cuboid volume if the cuboid's diagonals are x, y, and z (wall diagonals or three faces). Solve for x=1.6, y=1.8, z=1.6 - Calculate 46151
A pyramid has a square base with an edge length of 6 cm and a height of 6 cm. Calculate its surface area. - 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. - Dimensions 4703
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal. - Equilateral cone
The axial section of the cone is an equilateral triangle with a side of 12 cm. Surface and volume calculation. - Triangular pyramid
What is the volume of a regular triangular pyramid with a side 3 cm long? - Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube? - Quadrilateral 8060
The cuboid's volume is 864 mm³. Its square base has the same area as the base of a quadrilateral prism, with dimensions 7cm and 9cm, the height of the base 4cm, and the height of the prism 15cm. Find the surfaces of both bodies. - Calculate 64654
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Quadrilateral pyramid
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm. - Body diagonal
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm.
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