Solid geometry, stereometry - page 89 of 123
Number of problems found: 2441
- Body diagonal
Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonally. - Square vs rectangle
A square and a rectangle have the same areas. The rectangle's length is nine greater, and the width is six less than the side of the square. Calculate the side of a square. - Above Earth
To what height must a boy be raised above the earth to see one-fifth of its surface? - Cuboid easy
The cuboid has the dimensions a = 12 cm, b = 9 cm, c = 36 cm. Calculate the length of the body diagonal of the cuboid. - Regular 4-sided pyramid
Find the area (surface area) of a regular 4-sided pyramid if its height is 20 m and the wall height is 23 m. - Cube edges
The cube has an edge of 4 cm. It has the same volume as a block, the base of which has an area of 32 cm². What height is the block? - Tank height calculation
The diameter of the bottom of the cylinder-shaped tank is 6 m. Its volume is 1500 m³. What is the height of the tank to about two decimal places? - Cone surface volume
The rotating cone has a base circumference of 62.8 cm. And a height of 0.7 dm. Calculate its surface area and volume. - Cube diagonal calculation
Calculate the length of the wall diagonal of a cube with a volume of 7.40 square meters. Express the result to the nearest millimeter. - Cylinder height calculation
What is the height of the cylinder if the volume is 8,478 cubic meters and the area of the base of the cylinder is 706.5 cm square? - Pyramid Height and Volume
Given is a regular quadrilateral pyramid with a square base. Side = 16 cm, S = 736 cm². Calculate h (body height) and body volume V. - Pyramid measurements
Calculate the surface area and volume of a regular quadrilateral truncated pyramid if the base edges are 87 cm and 64 cm and the wall height is 49 cm. - Cylinder radius volume
Calculate the radius of the cylinder's base if its volume is equal to 12.56 cm². - Cylinder radius
Calculate the radius of the base of the cylinder with a volume of 10 dm³ and a height of 15 cm. - Cone surface volume
Calculate the surface and volume of the cut rotating cone with base radii of 14 cm and 8 cm height of 11 cm. - Pyramid volume calculation
Calculate the volume of a regular quadrilateral pyramid whose wall height is w = 12 cm. - Quadrangular pyramid
Given is a regular quadrilateral pyramid with a square base. The body height is 30 cm, and volume V = 1000 cm³. Calculate its side and its surface area. - Sphere radius
The surface of the sphere is 60 cm². Calculate its radius; result round to tenth of cm. - A chest made
A chest in the shape of a cuboid made of sheet iron has dimensions of 2.4 m × 0.8 m × 0.5 m. What will be the volume of a cube-shaped chest with the same surface area? - Cone surface volume
The cone's surface is 75.36 cm, and the radius is 3 cm. Calculate the volume of the cone.
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