Practice problems of the of a diagonal - last page
Number of problems found: 515
- 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. - Right pyramid
A right pyramid on a base 4 cm square has a slanted edge of 6 cm. Calculate the volume of the pyramid. - Cube in sphere
The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
- Cube - angles
Calculate the angle between the wall diagonal and cube base. Calculate the angle between the cube body diagonal and the cube base. - Sphere area
A cube with an edge 1 m long is a circumscribed sphere (vertices of the cube lie on a sphere's surface). Find the surface area of the sphere. - A prism
A prism with an altitude of 15cm has a base in the form of a regular octagon inscribed in a square of 10cmx10cm. Find the volume of the prism. - Three faces of a cuboid
The diagonal of the three faces of a cuboid are 13,√281, and 20 units. Then the total surface area of the cuboid is. - 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. - Calculate 4694
Calculate the length of the body diagonal in a cube of 15 cm. - Octahedron in a cube
What largest octahedron can we place inside a cubical box with sides equal to 72? - Cube in ball
The cube is inscribed into the sphere of radius 181 dm. How many percent is the volume of cube of the volume of the sphere?
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