Find all School-related info fast with the new School-Specific MBA Forum

 It is currently 03 Jul 2015, 14:12

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# A cube has edges that are s centimetres in length. Identical

Author Message
TAGS:
GMAT Instructor
Joined: 04 Jul 2006
Posts: 1266
Followers: 24

Kudos [?]: 167 [0], given: 0

A cube has edges that are s centimetres in length. Identical [#permalink]  13 Sep 2006, 02:23
00:00

Difficulty:

(N/A)

Question Stats:

0% (00:00) correct 0% (00:00) wrong based on 0 sessions
A cube has edges that are s centimetres in length. Identical square holes, centred in each face of the cube, are cut through to the opposite sides of the cube and the volume of the resulting solid, shown above, is p% of that of the original cube. If the holes are t centimetres wide and s=kt where k>1, then what is p in terms of k?

(A) 100-(2k^3-3)*100/k (B) 100-(3k-2)*100/k^3 (C) 100- (2k-3)*100/k^3
(D) 100-(2k-3)*100/k^2 (E) 100-(k^3-2)*100/k^3
Attachments

cut cube.doc [26.5 KiB]

SVP
Joined: 01 May 2006
Posts: 1798
Followers: 8

Kudos [?]: 102 [0], given: 0

Get (B)

Volume Cube = s^3
Volume removed = 3*t^2*s-2*t^3

Thus,
p/100*Volume Cube = Volume Cube - Volume removed
<=> p/100*s^3 = s^3 - 3*t^2*s+2*t^3
<=> p = 100 - 100*(3*(t/s)^2 - 2*(t/s)^3)

Since, k = s/t

p= 100 - 100*(3*k - 2)/k^3
Similar topics Replies Last post
Similar
Topics:
3 What is the maximum number of 27 cubic centimetre cubes that can fit 2 03 Dec 2014, 01:21
2 If the length of an edge of cube X is twice the length of an 4 07 Mar 2014, 03:46
16 A wooden cube whose edge length is 10 inches is composed of 7 01 Nov 2013, 20:46
2 If the length of an edge of cube X is twice the length of an 3 03 Aug 2013, 19:20
A sphere is inscribed in a cube with an edge of 10. What is 10 18 Dec 2005, 01:46
Display posts from previous: Sort by