Solid geometry, stereometry - page 70 of 121
Number of problems found: 2406
- Diameter 44511
The tower's roof is a cone with a base diameter of 12 m and a height of 8 m. At least how many square meters of roofing are needed to cover it? - Calculate 82459
Calculate the depth of a pool that is 10 m long and 5 m wide if its volume is 65 m³ - Cube 53
A cuboid with a volume of 60 cm³ has a base with dimensions of 3 cm and 5 cm. Calculate the height of the cuboid in centimeters. - Corresponding 68604
The prism with a square base has a volume of 200 liters, and the length of its base edge is a decimeter. Using the corresponding expression of the prism, write the height of the prism in decimetres. - Corresponding 45611
The volume of the triangular prism is 200 dm3, and the base is a triangle with a side of 10 dm and a corresponding height of 5 dm. Calculate the height of the prism. - 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? - Calculate 6635
Calculate the radius of the cylinder base if you know its volume V and height v. H = 300 cm³, h = 8 cm - Centimeters 5533
Calculate the area of one cube wall and the wall diagonal of a cube if its volume equals 1728 cubic centimeters. - Rectangular 3957
The block with a rectangular base measuring 18 cm and 11 cm has a surface of 1,556 cm square. Calculate the height of the block. - Base side In a quadrilateral prism, are known surface area S = 12400 mm2, base side m = 40mm, and prism height = 120mm. What is the length of base side n =?
- Hexagonal pyramid
Find the volume of a regular hexagonal pyramid, the base edge 12 cm long and the side edge 20 cm. - Quadrilateral pyramid
Calculate the surface of a quadrilateral pyramid with a rectangular base, dimensions a = 8 cm, b = 6 cm, and height H = 10 cm. - Spherical cap
The spherical cap has a base radius of 8 cm and a height of 5 cm. Calculate the radius of a sphere of which this spherical cap is cut. - Height of the cuboid
Cuboid with a rectangular base, measuring 3 cm and 4 cm diagonal, has a body 13 centimeters long. What is the height of the cuboid? - 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. - Sphere equation
Obtain the equation of a sphere. Its center is on the line 3x+2z=0=4x-5y and passes through the points (0,-2,-4) and (2,-1,1). - 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
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