Solid geometry, stereometry - page 65 of 123
Number of problems found: 2442
- Concrete columns
How much concrete is needed to pour 8 concrete columns with a square base: a = 38 cm, the height of the columns being 6.2 m? Each column has a cylindrical cavity with a diameter of 15 cm. - Dimensions of a prism
Calculate the edge c and the surface S of a block if its volume is equal to 42 cubic centimeters, a = 6 cm, b = 3.5 cm, c =? - Raymond
Raymond is designing a 1-liter Tetrapak for milk. He knows that the rectangular base must be 50 mm by 100 mm. Therefore, he needs to make the height of the Tetrapak. - Cone calculation complete
There is a rotating cone: r = 6.8 cm s = 14.4 cm. Find the area of the cone surface S2, the height h, and the volume V. - Container diameter calculation
The cylinder-shaped container is filled with 80 l of water and is 70 cm high. Calculate the diameter of the bottom of the container. - The Earth
The Earth's surface is 510,000,000 km². Calculates the radius, equator length, and volume of the Earth, assuming the Earth has the shape of a sphere. - Cylinder height radius
Calculate the height of the cylinder when r = 10 mm and S = 800 mm². Calculate the radius / r / of the cylinder when the height is 20 mm and S = 1000 mm². - Prism height calculation
The 4-sided prism has a volume of 648 cubic cm. The trapezoid, its base, has the dimensions a-10 cm, c-8 cm, h-6 cm. Calculate the height of the prism - Hexagonal pyramid
Calculate the surface area of a regular hexagonal pyramid with a base inscribed in a circle with a radius of 8 cm and a height of 20 cm. - Cube from Body Diagonal
Find the volume and surface area of a cube whose space diagonal has length u = 216 cm. - Pyramid Height Surface Area
The regular quadrilateral pyramid has a base diagonal of 5√2 cm, and the side edges are 12√2 cm long. Calculate the height of the pyramid and its surface. - Spherical cap
A spherical cap is placed on a cylinder of height 4.6 cm such that the area of the curved surface of the cap is 20 cm². Determine the radius r of the sphere from which the cap was cut. - Quadrangular pyramid
The regular quadrilateral pyramid has a base length of 6 cm and a side edge length of 9 centimeters. Calculate its volume and surface area. - Prism height
A four-sided prism has a volume of 648 cubic centimeters. The trapezoid that is its base has the dimensions a is equal to 10 centimeters, c is equal to eight centimeters, and height v is equal to 6 centimeters. Calculate the height of the prism. - Dimensions of a cylinder
We rolled a cylinder shell with a volume of 18 / π dm³ from a rectangle with an area of 6 dm². Calculate the dimensions of the rectangle. - A regular
A regular triangular prism with a base edge of 20 dm and a height of 30 dm is drawn. Find the volume of the prism and the area of the shell. - Cuboid Height from Surface
The cuboid with a base measuring 17 cm and 13 cm has a surface of 1342 cm². Calculate the height of the cuboid and sketch its network. - Mug in Cube Box
A cylindrical mug is packed in a 1-liter cube paper box. The mug is in close contact with all the walls of the cube. What volume is my mug? - Prism height
A regular perpendicular quadrilateral prism with a base edge of 10 cm has a volume of 10 dm³. What is the height of this prism? - Cube diagonals
Determine the length of the body and wall diagonals of the cube, the volume of which is equal to 0.343 decimetres. Also, calculate its surface.
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