# 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 cm3. 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 cm3.
• 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 body diagonal measures 10 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 cm3. 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 cm2 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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Space diagonal - math problems. Cube Problems.