Pythagorean theorem + cube - math problems

Number of problems found: 39

  • Regular square prism
    cuboid_3colors 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
    cube_diagonals Find the surface and volume of a cube whose wall diagonal is 5 cm long.
  • Truncated cone 6
    frustum-of-a-right-circular-cone 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
    sphere_in_cube 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
    body_diagonals_angle Using vector dot product calculate the angle of the body diagonals of the cube.
  • Inscribed circle
    Cube_with_inscribed_sphere 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
    cube_diagonals The space diagonal of a cube is 129.91 mm. Find the lateral area, surface area and the volume of the cube.
  • Tangent spheres
    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
    cube_diagonals Calculate the length of the side and the diagonals of the cube with a volume of 27 cm3.
  • Body diagonal
    cube_diagonals Calculate the cube volume, whose body diagonal size is 75 dm. Draw a picture and highlight the body diagonal.
  • Cube diagonals
    cube_diagonals The cube has a wall area of 81 cm square. Calculate the length of its edge, wall, and body diagonal.
  • Body diagonal
    krychle Calculate the volume and surface of the cube if the body diagonal measures 10 dm.
  • Cube cut
    rezy The cube ABCDA'B'C'D ' has an edge of 12cm. Calculate the area of diagonal cut B DD'B '.
  • Body diagonal - cube
    cube_shield Calculate the surface and cube volume with body diagonal 15 cm long.
  • Body diagonal
    diagonal Calculate the length of the body diagonal of the 6cm cube.
  • Calculate
    cubes3 Calculate the length of the wall diagonal of the cube with an edge 5 cm long.
  • Cube wall
    cube_shield The perimeter of one cube wall is 120 meters. Calculate the surface area and the body diagonal of this cube.
  • Cube wall
    cubes 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
    sphere4 The sphere is an inscribed cube with an edge of 8 cm. Find the sphere's radius.
  • Ladder
    rebrik 4 m long ladder touches the cube 1mx1m at the wall. How high reach on the wall?

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Pythagorean theorem is the base for the right triangle calculator. Pythagorean theorem - math problems. Cube Problems.