A sphere is inscribed in a cube with an edge of \(x\) centimeters. In terms of \(x\) what is the shortest possible dista

This topic has expert replies
Legendary Member
Posts: 2898
Joined: Thu Sep 07, 2017 2:49 pm
Thanked: 6 times
Followed by:5 members

Timer

00:00

Your Answer

A

B

C

D

E

Global Stats

A sphere is inscribed in a cube with an edge of \(x\) centimeters. In terms of \(x\) what is the shortest possible distance from one of the vertices of the cube to the surface of the sphere?

A. \(x(\sqrt3-1)\)

B. \(\dfrac{x}2\)

C. \(x(\sqrt2-1)\)

D. \(\dfrac{x}{2}(\sqrt3-1)\)

E. \(\dfrac{x}{2}(\sqrt2-1)\)

Answer: D

Source: GMAT Club Tests