Solid geometry, stereometry - page 90 of 123

Number of problems found: 2441

An equilateral cone
Determine the radius and height (in centimeters) of an equilateral cone that has a volume of 1 liter.
Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 dm cubic. Express the result to the nearest millimeter.
The funnel
The funnel has the shape of an equilateral cone. If you pour 3 liters of water into the funnel, calculate the area wetted with water.
Body diagonal
Cuboid with base 7 cm x 3,9 cm and body diagonal 9 cm long. Find the height of the cuboid and the length of the diagonal of the base,
Cuboid - complicated
Three walls of the same cuboid have an area of 6 cm², 10 cm², and 15 cm². Calculate the volume of the cuboid.
Pyramid base calculation
The volume of the right 4-side pyramid is 138 m³, and its height is 9 m. Calculate the area of the base and the edge of its base.
Cone volume surface
Calculate the volume and surface area of the cone with a diameter of 20 cm and a height of 15 cm.
The pyramid
The pyramid with a square base is 50 m high, and the sidewall height is 80 m. Find the edge of the base of the pyramid.
Cone volume surface
Calculate the volume and surface of a cone with a base diameter of 10 dm and a side of 13 dm.
Cube diagonals
Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³.
Cube Edge Length Surface
When the surface of a cube is S = 150 cm², what is the length of its edge a =?
Height of pyramid
The pyramid ABCDV has edge lengths: AB = 4, AV = 7. What is its height?
Cube edge volume
The surface of a cube is equal to 294 square meters. Calculate the edge and volume of the cube.
Angle of the sector
Find the angle of the sector of a circle radius of 20 units where the area is equal to the lateral area of a cone with a radius of 8 units.
The surface
The surface of the cylinder is 1570 cm²; its height is 15 cm. Find the volume and radius of the base.
Quadrilateral pyramid
A regular quadrilateral pyramid has a volume of 24 dm³ and a base edge a = 4 dm. Calculate: a/height of the pyramid b/sidewall height c/surface of the pyramid
Cylinder surface calculation
The cylinder has a volume of 2000 liters and a height of 8 dm. What is its surface?
Calculate radius
The surface of the sphere is 624 cm². Calculate its radius.
Diagonal of a cube
Calculate the volume of a cube with a face diagonal of u = 20 cm.
Cube surface volume
The surface of the cube is 150 dm². Calculate its volume.

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