Cube + sphere - math problems

Number of problems found: 27

  • 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 from sphere
    What largest surface area (in cm2) can have a cube that we cut out of a sphere with radius 43 cm?
  • 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 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?
  • Cube in sphere
    The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.

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Cube Problems. Sphere Problems.