If a sphere with radius \(r\) is inscribed in a cube with edges of length \(e,\) which of the following expresses the

[M7MBA]

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. \(r=\dfrac12 e\)

B. \(r = e\)

C. \(r = 2e\)

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

E. \(r=\dfrac14 e^2\)

Answer: A

Source: Official Guide