Space diagonal - practice problems - last page

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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