What is the maximum number of 4x4x4 cubes that can fit in a rectangular box measuring 10x12x16 ?
12
18
20
24
30
Rectangular cube Diagram
This topic has expert replies
-
- Master | Next Rank: 500 Posts
- Posts: 429
- Joined: Wed Sep 19, 2012 11:38 pm
- Thanked: 6 times
- Followed by:4 members
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi shibsriz,
This question comes with a "twist"; the rectangular box will NOT be completely filled with cubes (the dimensions won't allow for it to be filled).
The dimensions are 10x12x16, so both the 12 and 16 will be "filled", but the 10 won't be (since 4 does not divide evenly into 10). To help visualize this idea, imagine that the base of the box is 12x16. This means that a 3x4 "layer" of cubes will fit the base of the box; 12 cubes are in this layer. We can put another "layer" of 12 cubes on top of the first layer, but then the remaining space won't be enough to hold any more cubes.
2 layers of 12 cubes = 24 cubes
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
This question comes with a "twist"; the rectangular box will NOT be completely filled with cubes (the dimensions won't allow for it to be filled).
The dimensions are 10x12x16, so both the 12 and 16 will be "filled", but the 10 won't be (since 4 does not divide evenly into 10). To help visualize this idea, imagine that the base of the box is 12x16. This means that a 3x4 "layer" of cubes will fit the base of the box; 12 cubes are in this layer. We can put another "layer" of 12 cubes on top of the first layer, but then the remaining space won't be enough to hold any more cubes.
2 layers of 12 cubes = 24 cubes
Final Answer: D
GMAT assassins aren't born, they're made,
Rich
- GMATGuruNY
- GMAT Instructor
- Posts: 15539
- Joined: Tue May 25, 2010 12:04 pm
- Location: New York, NY
- Thanked: 13060 times
- Followed by:1906 members
- GMAT Score:790
Follow the colors:[email protected] wrote:What is the maximum number of 4x4x4 cubes that can fit in a rectangular box measuring 10x12x16 ?
12
18
20
24
30
(10 * 12 * 16) / (4 * 4 * 4) = (2.5 * 3 * 4).
Since there can't be 2.5 cubes along the first dimension, the maximum number of cubes that can fit in the box = 2*3*4 = 24.
The correct answer is D.
Private tutor exclusively for the GMAT and GRE, with over 20 years of experience.
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
Followed here and elsewhere by over 1900 test-takers.
I have worked with students based in the US, Australia, Taiwan, China, Tajikistan, Kuwait, Saudi Arabia -- a long list of countries.
My students have been admitted to HBS, CBS, Tuck, Yale, Stern, Fuqua -- a long list of top programs.
As a tutor, I don't simply teach you how I would approach problems.
I unlock the best way for YOU to solve problems.
For more information, please email me (Mitch Hunt) at [email protected].
Student Review #1
Student Review #2
Student Review #3
GMAT/MBA Expert
- [email protected]
- Elite Legendary Member
- Posts: 10392
- Joined: Sun Jun 23, 2013 6:38 pm
- Location: Palo Alto, CA
- Thanked: 2867 times
- Followed by:511 members
- GMAT Score:800
Hi phanikpk,
To help you stay focused in these types of questions, it often helps to draw pictures (for Geometry questions) or make "tables" of information (for story problems and really detailed questions).
Be mindful of the details - every question on the GMAT was written by a human, to test you on certain concepts, reward you if you can spot patterns and punish you if you make silly mistakes.
GMAT assassins aren't born, they're made,
Rich
To help you stay focused in these types of questions, it often helps to draw pictures (for Geometry questions) or make "tables" of information (for story problems and really detailed questions).
Be mindful of the details - every question on the GMAT was written by a human, to test you on certain concepts, reward you if you can spot patterns and punish you if you make silly mistakes.
GMAT assassins aren't born, they're made,
Rich
- GMATinsight
- Legendary Member
- Posts: 1100
- Joined: Sat May 10, 2014 11:34 pm
- Location: New Delhi, India
- Thanked: 205 times
- Followed by:24 members
Sides of the Bigger box are 10, 12 and 26[email protected] wrote:What is the maximum number of 4x4x4 cubes that can fit in a rectangular box measuring 10x12x16 ?
12
18
20
24
30
Number of Small cubes of Dimension 4 that can occupy the side 10 = [10/4] = 2
Number of Small cubes of Dimension 4 that can occupy the side 12 = [12/4] = 3
Number of Small cubes of Dimension 4 that can occupy the side 16 = [16/4] = 4
Therefore Total Such Small Cubes that can fit into box = 2 x 3 x 4 = 24
Answer: Option D
"GMATinsight"Bhoopendra Singh & Sushma Jha
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
Most Comprehensive and Affordable Video Course 2000+ CONCEPT Videos and Video Solutions
Whatsapp/Mobile: +91-9999687183 l [email protected]
Contact for One-on-One FREE ONLINE DEMO Class Call/e-mail
Most Efficient and affordable One-On-One Private tutoring fee - US$40-50 per hour
-
- Senior | Next Rank: 100 Posts
- Posts: 31
- Joined: Thu Jun 04, 2009 12:01 am
- Thanked: 1 times
hi
IMO the answer is D
logic used i the dividing respective dimensions to check the whole number
10/4 = 2.5, 12/4=3, 16/4=4
2.5 cube is not possible so ~2
count of cubes will be 2*3*4 = 24
thanks and regards
IMO the answer is D
logic used i the dividing respective dimensions to check the whole number
10/4 = 2.5, 12/4=3, 16/4=4
2.5 cube is not possible so ~2
count of cubes will be 2*3*4 = 24
thanks and regards