How will I get the volume and surface area of the sphere?

Question

If a rectangular solid have edges, 4 cm, 5 cm and 7 cm, is inscribed in a sphere. How will I get the volume and surface area of the sphere?

Do I need to get the volume of the rectangular solid and use it to get the radius of the sphere?

Answer 1

You need to use pythagoras twice to find the length of the long diagonal of the cuboid - the long diagonals will be diameters of the sphere.