Asked by Sara
Cube A is inscribed in sphere B, which is inscribed in cube C. If the sides of cube A have length 4, what is the volume of cube C?
Answers
Answered by
oobleck
When a cube is inscribed in a sphere, the long diagonal of the cube is a diameter of the sphere. So, the sphere has diameter 4√3
Similarly, the diameter of the sphere is equal to the side of cube C, so it has side 4√3.
so, ...
Similarly, the diameter of the sphere is equal to the side of cube C, so it has side 4√3.
so, ...
Answered by
KASA KRANTHI KIRAN
the volume of a sphere inscribed in a cube of diagonal 4√3 is
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