# Problems of the space diagonal of a cube

#### Number of problems found: 26

- Regular square prism

The volume of a regular square prism is 192 cm^{3}. The size of its base edge and the body height is 1: 3. Calculate the surface of the prism. - 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? - Angle of the body diagonals

Using vector dot product calculate the angle of the body diagonals of the cube. - Space diagonal

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

Calculate the length of the side and the diagonals of the cube with a volume of 27 cm^{3}. - Body diagonal

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

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

Calculate the volume and surface of the cube if the diagonal body measures ten dm. - Cube into sphere

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

The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '. - Body diagonal - cube

Calculate the surface and cube volume with body diagonal 15 cm long. - Body diagonal

Calculate the length of the body diagonal of the 6cm cube. - Cube wall

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

The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius. - Body diagonal

The cuboid has a volume of 32 cm^{3}. Its side surface area is double as one of the square bases. What is the length of the body diagonal? - Cube and sphere

Cube with the surface area 150 cm^{2}is described sphere. What is sphere surface? - Sphere vs cube

How many % of the surface of a sphere of radius 12 cm is the surface of a cube inscribed in this sphere? - Cube diagonals

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

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Cube Problems. Space diagonal - math problems.