Space diagonal - practice problems - last page

Number of problems found: 114

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.
Body diagonal
Calculate the volume and surface of the cube if the diagonal body measures ten dm.
Body diagonal
Calculate the length of the body diagonal of a block with dimensions: a = 20 cm, b = 30 cm, c = 15 cm.
Cube Diagonals Lengths
Calculate the lengths of the wall and body diagonals of the cube with an edge length of 10 cm.
Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
Cube and sphere
A cube with a surface area of 150 cm² is described sphere. What is a sphere surface?
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
Calculate the solid diagonal of a cube whose surface equals 24 square centimeters.
Cube diagonal
Determine the length of the cube diagonal with edge 23 km.
Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72?
Cube diagonal
Calculate the length of the body diagonal in a cube of 15 cm.
Body diagonal
Calculate the length of the body diagonal of the 6cm cube.

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