Cube + diagonal - math problems

Number of problems found: 36

  • 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.
  • Surface and volume - cube
    Find the surface and volume of a cube whose wall diagonal is 5 cm long.
  • 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.
  • 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.
  • 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.
  • 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 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.
  • Calculate
    Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
  • 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.

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Cube Problems. Diagonal - math problems.