AbdurRakib wrote:

If a sphere with radius r is inscribed in a cube with edges of length e, which of the following expresses the relationship between r and e ?

A. \(r=\frac{1}{2}e\)

B. r = e

C. r = 2e

D. \(r=\sqrt{e}\)

E. \(r=\frac{1}{4}e^2\)

Since the sphere is inscribed in the cube, the length of an edge of the cube = the diameter of the sphere. Recall that the diameter is twice the radius. Thus, e = 2r, or 1/2e = r.

Answer: A

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