GMAT Question of the Day: Daily via email | Daily via Instagram New to GMAT Club? Watch this Video

 It is currently 26 Jan 2020, 07:13 ### GMAT Club Daily Prep

#### Thank you for using the timer - this advanced tool can estimate your performance and suggest more practice questions. We have subscribed you to Daily Prep Questions via email.

Customized
for You

we will pick new questions that match your level based on your Timer History

Track

every week, we’ll send you an estimated GMAT score based on your performance

Practice
Pays

we will pick new questions that match your level based on your Timer History

#### Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.  # In a cube of side 10, what is the length of the line joining the cente

Author Message
TAGS:

### Hide Tags

VP  V
Joined: 19 Oct 2018
Posts: 1295
Location: India
In a cube of side 10, what is the length of the line joining the cente  [#permalink]

### Show Tags

2 00:00

Difficulty:   35% (medium)

Question Stats: 77% (02:13) correct 23% (01:49) wrong based on 22 sessions

### HideShow timer Statistics

In a cube of side 10, what is the length of the line joining the center of any face and a vertex of the cube not contained in the plane of that face?

A. $$\sqrt{6}$$
B. $$3\sqrt{5}$$
C. $$5\sqrt{3}$$
D. $$5\sqrt{6}$$
E. $$10\sqrt{6}$$
ISB School Moderator P
Joined: 08 Dec 2013
Posts: 643
Location: India
Concentration: Nonprofit, Sustainability
Schools: ISB
GMAT 1: 630 Q47 V30 WE: Operations (Non-Profit and Government)
Re: In a cube of side 10, what is the length of the line joining the cente  [#permalink]

### Show Tags

nick1816 wrote:
In a cube of side 10, what is the length of the line joining the center of any face and a vertex of the cube not contained in the plane of that face?

A. $$\sqrt{6}$$
B. $$3\sqrt{5}$$
C. $$5\sqrt{3}$$
D. $$5\sqrt{6}$$
E. $$10\sqrt{6}$$

Step 1: I drop a perpendicular from the center of the face (A) to the opposite face (B), which is also the center of the opposite face. This length is 10.
Step 2: I draw a st. line from A to the vertex of opposite face (C).

Distance between BC= 1/2 of diagonal of the face containing B
= (1/2) * 10*root(2)
Now Pythagoras theorem to find AC
AC^2 = [5(root 2)]^2 + 10^2

AC= 5 root(6), IMO D Re: In a cube of side 10, what is the length of the line joining the cente   [#permalink] 25 May 2019, 20:48
Display posts from previous: Sort by

# In a cube of side 10, what is the length of the line joining the cente  