Practice problems of the space diagonal - last page
Space diagonal (also interior diagonal or body diagonal) of a polyhedron (i.e. prism, cube or rectangular cuboid) is a line connecting two vertices that are not on the same face. Space diagonals contrast with face diagonals, which connect vertices on the same face (but not on the same edge) as each other.Number of problems found: 112
- Body diagonal
Find the length of the body diagonal of a cuboid with edges lengths of 16 cm, 7 cm, and 4 cm. - Angle of the body diagonals
Using the vector dot product calculate the angle of the body diagonals of the cube. - Box
Calculate the angle between box base 9 x 14 and body diagonal length 18. - Centimeters 3940
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters.
- Body diagonal
Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Cube cut
The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '. - Body diagonal
Find the cube surface if its body diagonal has a size of 6 cm. - Cube diagonal
Determine the length of the cube diagonal with edge 23 km.
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