Solid geometry, stereometry - page 81 of 121
Number of problems found: 2409
- Cylinder
Calculate the dimensions of rotating cylindrical containers with volume 10 l if the container's height is equal to the base's diameter. - Cube wall diagonal
Calculate the length of the wall and body diagonal in a cube with an edge of 60 cm. - Image suitcase fitting
Calculate if a rectangular image with dimensions of 33cm and 70cm fits in a suitcase with 65cm, 40cm, and 20cm. Make a sketch, and write it down as a word problem. - Katy 7
Katy ordered a cylinder-shaped cake with a volume of 15.7 l. It consists of two layers. The volume of the upper layer is 4 times smaller than the volume of the lower layer. The height of both layers is the same and is equal to the radius of the upper laye - 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
What is the volume of a regular quadrilateral pyramid? The pyramid height is 30 cm, and the wall height is 50 cm. - 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 - Block diagonal
The block has dimensions l = 5 cm, w = 4 cm, and h = 3 cm. Calculate the length of its body diagonal. - Prism volume surface Calculate the volume and surface area of a 9.6 cm high prism with a base of an equilateral triangle of length 4.8 cm.
- Calculate cone - S,V
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. - Body diagonal
Calculate the surface area, volume, and length of the body diagonal of a cube with an edge length of 4 dm. - 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? - The cube
The surface of the cube is 150 square centimeters. Calculate: a- the area of its walls b - the length of its edges c - its volume - Cube - wall
In the cube ABCDEFGH, |CF|=4 √ 2. What is the surface area of the cube? - Funnel
The funnel has the shape of an equilateral cone. Calculate the surface wetted with water if we poured into the funnel 8.1 liters of water. - 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 - Ice cream maker
Ice cream maker Eda has invented a new nice cone in the shape of a regular four-sided pyramid, in which he will sell his ice cream. The cone will have a side edge length of 5 cm and a wall height of 4 cm. In order to mass-produce it in the factory, they s - Calculate cone - r,h
A rotation cone with a radius of 24 cm and a height of 36 cm is given. Calculate the surface area and volume. - Cube surface area
What is the largest surface area of a square glued together from 12 identical cubes with an edge length of 1 cm? - Rectangular base
Calculate the pyramid's surface area with a rectangular base measuring 9cm, 4cm, and 6cm high.
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