Events & Promotions
|
|
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
Track
Your Progress
Practice
Pays
Not interested in getting valuable practice questions and articles delivered to your email? No problem, unsubscribe here.
Apr 2610:00 AM EDT
-11:00 AM EDT
The Target Test Prep course represents a quantum leap forward in GMAT preparation, a radical reinterpretation of the way that students should study. Try before you buy with a 5-day, full-access trial of the course for FREE!
Apr 2711:00 AM EDT
-12:00 PM EDT
Prefer video-based learning? The Target Test Prep OnDemand course is a one-of-a-kind video masterclass featuring 400 hours of lecture-style teaching by Scott Woodbury-Stewart, founder of Target Test Prep and one of the most accomplished GMAT instructors
Apr 2808:00 AM PDT
-11:00 AM PDT
Whether you are just beginning your MBA journey or fine-tuning your path to a 700+ score, GMAT Day is designed to give you a competitive edge.
30 Aug 2024, 04:44
Kudos
Bookmarks
1 x 6 row: 28%
2 x 3 matrix: 39%
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
85%
(hard)
Question Stats:
58% (03:16) correct
42%
(03:24)
wrong
based on 929
sessions
History
Date
Time
Result
Not Attempted Yet
Six identical solid metal cubes are to be polished with gold on all surfaces before being displayed in a showroom. To reduce the amount of gold needed for polishing, the showroom managers are contemplating welding the six cubes together, thereby forming a rectangular solid before polishing. They are contemplating two ways of doing so - by joining all six cubes together (1 × 6 row) and forming a long, rectangular solid or by forming a 2 × 3 matrix.
In the table, select the values that, approximately, represent the percentage of gold saved in polishing the solids by joining them in 1 × 6 row and 2 × 3 matrix respectively, compared to the amount of gold needed if the six cubes were to be polished separately. Make only two selections, one in each column.
In the table, select the values that, approximately, represent the percentage of gold saved in polishing the solids by joining them in 1 × 6 row and 2 × 3 matrix respectively, compared to the amount of gold needed if the six cubes were to be polished separately. Make only two selections, one in each column.
| 1 x 6 row | 2 x 3 matrix | Percentage saving |
| 20% | ||
| 28% | ||
| 33% | ||
| 39% | ||
| 42% |
ShowHide Answer
Official Answer
1 x 6 row: 28%
2 x 3 matrix: 39%
30 Aug 2024, 09:34
Kudos
Bookmarks
Let's assume that the side of the cube is of length = x
In the base case,
Surface area of a cube = 6x^2
Surface area of 6 cubes = 6* 6x^2 = 36x^2
Case 1:
1x6 Matrix
This is a cuboid of length = 6x, breadth =x, and height = x.
Surface area = 2 * x^2 + 4 * (6x*x) = 2x^2 + 24x^2
= 26x^2
Savings in area over base case = (36x^2 - 26x^2 )/36x^2 = 10/36 = 28%
Case 2:
2x3 Matrix
This is a cuboid of length =3x, breadth = 2x and height = 2x
Surface area = 2 * ( 2x*3x + x*2x + x*3x)
= 22x^2
Savings in area over base case = (36x^2 - 22x^2)/36^2 = 14/36 = 39%
In the base case,
Surface area of a cube = 6x^2
Surface area of 6 cubes = 6* 6x^2 = 36x^2
Case 1:
1x6 Matrix
This is a cuboid of length = 6x, breadth =x, and height = x.
Surface area = 2 * x^2 + 4 * (6x*x) = 2x^2 + 24x^2
= 26x^2
Savings in area over base case = (36x^2 - 26x^2 )/36x^2 = 10/36 = 28%
Case 2:
2x3 Matrix
This is a cuboid of length =3x, breadth = 2x and height = 2x
Surface area = 2 * ( 2x*3x + x*2x + x*3x)
= 22x^2
Savings in area over base case = (36x^2 - 22x^2)/36^2 = 14/36 = 39%
