Quandaries and Queries


Who is asking: Student
Level: All

A cube is inscribed inside a sphere with radius sqrt8cm. Find the
(a) length of the cube
(b) volume of the space inside the sphere but outside the cube.
(Take Pi=3.14)




I drew a diagram.

C is the center of the sphere and the vertices of the cube are on the surface of the square. Suppose that the length of a side of the cube is s. Here are some facts that will help you answer the questions.

  1. |PC| = Sqrt(8) cm
  2. |PR| = |RQ| = s/2
  3. Triangles PCR and CRQ arre both right triangles.



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