# Diagonal + cube - practice problems

#### Number of problems found: 38

- Cubes

One cube is an inscribed sphere and the other one described. Calculate the difference of volumes of cubes, if the difference of surfaces in 231 cm². - Cube in a sphere

The cube is inscribed in a sphere with a volume 7253 cm³. Determine the length of the edges of a cube. - Regular square prism

The volume of a regular square prism is 192 cm³. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism. - Truncated cone 6

Calculate the volume of the truncated cone whose bases consist of an inscribed circle and a circle circumscribed to the opposite sides of the cube with the edge length a=1. - Body diagonal

The cuboid has a volume of 32 cm³. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Body diagonal

Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal. - Cube wall

Calculate the cube's diagonal if you know that one wall's surface is equal to 36 centimeters square. Please also calculate its volume. - Cube diagonals

Determine the volume and surface area of the cube if you know the length of the body diagonal u = 216 cm. - Tangent spheres

A sphere with a radius of 1 m is placed in the corner of the room. What is the largest sphere size that fits into the corner behind it? Additional info: Two spheres are placed in a corner of a room. The spheres are each tangent to the walls and floor and - Cube diagonals

The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal. - Cube wall

The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube. - Cube diagonals

Calculate the length of the side and the diagonals of the cube with a volume of 27 cm³. - Body diagonal - cube

Calculate the surface and cube volume with body diagonal 15 cm long. - Angle of the body diagonals

Using vector dot product calculate the angle of the body diagonals of the cube. - Cube - wall

V kocke ABCDEFGH je |CF|=4 √ 2. Aký je povrch kocky? - Surface and volume - cube

Find the surface and volume of a cube whose wall diagonal is 5 cm long. - Cube in sphere

The cube is inscribed in a sphere with a radius r = 6 cm. What percentage is the volume of the cube from the volume of the ball? - Inscribed circle

A circle is inscribed at the bottom wall of the cube with an edge (a = 1). What is the radius of the spherical surface that contains this circle and one of the vertex of the top cube base? - Space diagonal

The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube. - Cube into sphere

The cube has brushed a sphere as large as possible. Determine how much percent the waste was.

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Diagonal - practice problems. Cube practice problems.