Solid geometry, stereometry - page 72 of 121
Number of problems found: 2404
- Sum of the edges
The sum of the lengths of all cube edges is 72 cm. How many cm² of colored paper are we going to use for sticking? - Regular prism
The regular four-sided prism has a base of 25 cm² and a surface of 210 cm². Find its volume. - Milk cartons
How much paper do we need for 12 tetra packs with 6 cm, 11 cm, and 20 cm dimensions? Will 1 liter of milk fit in the box? - Mystery of stereometrie
Two regular tetrahedrons have surfaces 92 cm² and 207 cm². In what ratio are their volumes? Write as a fraction and as a decimal rounded to 4 decimal places. - Rotatable tower
The rotatable tower situated in the city center has the ground shape of a regular polygon. If the tower is rotated by 18° around its centerpiece, it looks from the side same. Your task is to calculate at least how many vertices can have a ground plan view - Block-shaped 44771
How much m² of paper do we save if we do not glue one-third of the total area of the block-shaped billboard area with dimensions of 0.6 m, 0.7 m, and 1.4 m? - Perpendiculars 36213
A right triangle with perpendiculars a = 3 cm and b = 4 cm rotates around a longer perpendicular. Calculate the volume and surface area of the resulting cone. - Dimensions 16813
Calculate how many bricks we will need to build a room that should be 1.8 m wide, 2 m long, and 2.4 m high. The dimensions of the brick are 25 cm x 60 cm. - Quadrilateral 32193
In a regular quadrilateral pyramid, the base edge a = 6cm, and the side edge b = 10cm. Calculate the height of the pyramid. - Calculate 19433
The circle's diameter of the cylinder base is 6 cm, and its volume is 282.6 cm³. Calculate the cylinder surface. - Quadrilateral 14103
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12cm. - Determine 6376
There are 62.8 liters of water in the cylinder. The water level is 0.5 meters. Determine the bottom diameter. - Water-wetted 35193
The block-shaped pool with dimensions of 25 m and 12.5 m and a depth of 2 m is filled with 4/5 of water. Calculate the area of water-wetted areas. - Spherical sector
Calculate the volume and surface area of a spherical sector if the spherical segment that is part of the sector has a base radius r1 = 6 cm and a height v = 2 cm. - Quadrilateral pyramid
Construct a 3D model of a quadrilateral pyramid with a rectangle base and sides of isosceles triangles, with a volume of 80 cubic cm. I need to know the sides and the height. - Cylinder container
The cylindrical container with a diameter of 1.8 m contains 2,000 liters of water. How high does the water reach? - Block or cuboid
The wall diagonals of the block have sizes of √29cm, √34cm, and √13cm. Calculate the surface and volume of the block. - Rectangular base pyramid
The pyramid has a rectangular base of 2.8 m and 1.4 m and a height of 2.5 meters. Calculate an area of the shell of the pyramid. - Surface of the cylinder Calculate the surface of the cylinder for which the shell area is Spl = 20 cm² and the height v = 3.5 cm.
- Cube edges
The sum of the lengths of the cube edges is 48 cm. Calculate the surface of the cube.
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