1. It is known that the area of the largest equilateral triangular section of a cube is 140cm 2.
    What is the side length of the cube?
  2. The distances between the centres of two adjacent faces of another cube is 8cms.
    What is the side length of this cube?
  3. Another cube has an edge length of 12cms. At each vertex a tetrahedron with three mutually perpendicular edges of length 4cms is sliced away. What is the surface area and volume of the remaining solid?