GMAT Question of the Day - Daily to your Mailbox; hard ones only

It is currently 20 Sep 2018, 11:36

Close

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
Your Progress

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.

Close

Request Expert Reply

Confirm Cancel

If the volume of a cube is v, what is the surface area of the cube in

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  
Author Message
TAGS:

Hide Tags

Math Expert
User avatar
V
Joined: 02 Sep 2009
Posts: 49271
If the volume of a cube is v, what is the surface area of the cube in  [#permalink]

Show Tags

New post 26 Jun 2018, 20:56
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

82% (00:51) correct 18% (00:24) wrong based on 50 sessions

HideShow timer Statistics

If the volume of a cube is v, what is the surface area of the cube in terms of v?


A. \(6 \sqrt{V}\)

B. \((\sqrt{V})^3\)

C. \(6 * (\sqrt{V})^3\)

D. \((\sqrt[3]{V})^2\)

E. \(6 * (\sqrt[3]{V})^2\)

_________________

New to the Math Forum?
Please read this: Ultimate GMAT Quantitative Megathread | All You Need for Quant | PLEASE READ AND FOLLOW: 12 Rules for Posting!!!

Resources:
GMAT Math Book | Triangles | Polygons | Coordinate Geometry | Factorials | Circles | Number Theory | Remainders; 8. Overlapping Sets | PDF of Math Book; 10. Remainders | GMAT Prep Software Analysis | SEVEN SAMURAI OF 2012 (BEST DISCUSSIONS) | Tricky questions from previous years.

Collection of Questions:
PS: 1. Tough and Tricky questions; 2. Hard questions; 3. Hard questions part 2; 4. Standard deviation; 5. Tough Problem Solving Questions With Solutions; 6. Probability and Combinations Questions With Solutions; 7 Tough and tricky exponents and roots questions; 8 12 Easy Pieces (or not?); 9 Bakers' Dozen; 10 Algebra set. ,11 Mixed Questions, 12 Fresh Meat

DS: 1. DS tough questions; 2. DS tough questions part 2; 3. DS tough questions part 3; 4. DS Standard deviation; 5. Inequalities; 6. 700+ GMAT Data Sufficiency Questions With Explanations; 7 Tough and tricky exponents and roots questions; 8 The Discreet Charm of the DS; 9 Devil's Dozen!!!; 10 Number Properties set., 11 New DS set.


What are GMAT Club Tests?
Extra-hard Quant Tests with Brilliant Analytics

Manager
Manager
User avatar
S
Joined: 28 Jul 2016
Posts: 95
Location: India
GMAT 1: 680 Q50 V32
GPA: 3.97
CAT Tests
Re: If the volume of a cube is v, what is the surface area of the cube in  [#permalink]

Show Tags

New post 26 Jun 2018, 21:48
The volume of cube = \(a^3\), where a is the side of cube
Thus \(a^3\) = V.
hence \(a= V^1/3\).
Surface area(S.A)= \(6 a^2\).
Thus S.A = \(6∗V^(2/3)\)

Ans E
_________________

Please give Kudos. Kudos encourage active discussions and help the community grow

e-GMAT Representative
User avatar
P
Joined: 04 Jan 2015
Posts: 1995
If the volume of a cube is v, what is the surface area of the cube in  [#permalink]

Show Tags

New post 26 Jun 2018, 22:01
1

Solution



Given:
    • The volume of a cube is V

To find:
    • The surface area of the cube, in terms of V

Approach and Working:
If we assume the length of each side of the cube is x, then
    • Volume \(V = x^3\)
    Or, \(x = V^\frac{1}{3}\)

    • Surface area of the cube = \(6x^2 = 6 * V^\frac{2}{3}\) = \(6 * (\sqrt[3]{V})^2\)

Hence, the correct answer is option E.

Answer: E
_________________








Register for free sessions
Number Properties | Algebra |Quant Workshop

Success Stories
Guillermo's Success Story | Carrie's Success Story

Ace GMAT quant
Articles and Question to reach Q51 | Question of the week

Must Read Articles
Number Properties – Even Odd | LCM GCD | Statistics-1 | Statistics-2
Word Problems – Percentage 1 | Percentage 2 | Time and Work 1 | Time and Work 2 | Time, Speed and Distance 1 | Time, Speed and Distance 2
Advanced Topics- Permutation and Combination 1 | Permutation and Combination 2 | Permutation and Combination 3 | Probability
Geometry- Triangles 1 | Triangles 2 | Triangles 3 | Common Mistakes in Geometry
Algebra- Wavy line | Inequalities

Practice Questions
Number Properties 1 | Number Properties 2 | Algebra 1 | Geometry | Prime Numbers | Absolute value equations | Sets



| '4 out of Top 5' Instructors on gmatclub | 70 point improvement guarantee | www.e-gmat.com

Intern
Intern
User avatar
B
Joined: 05 Sep 2016
Posts: 29
Location: India
Concentration: General Management, Operations
WE: Engineering (Energy and Utilities)
CAT Tests
If the volume of a cube is v, what is the surface area of the cube in  [#permalink]

Show Tags

New post 27 Jun 2018, 05:40
Let's assume Volume of Cube V=a^3 (a is the individual side length of cube)
Therefore, a=V^1/3 ---- 1>
Now, Surface Area of Cube S= 6.a^2
therefore, S= 6.V^2/3 (Substituting from 1)
Choice-E.
BSchool Forum Moderator
User avatar
V
Joined: 26 Feb 2016
Posts: 3131
Location: India
GPA: 3.12
Premium Member CAT Tests
If the volume of a cube is v, what is the surface area of the cube in  [#permalink]

Show Tags

New post 27 Jun 2018, 07:03
Bunuel wrote:
If the volume of a cube is v, what is the surface area of the cube in terms of v?


A. \(6 \sqrt{V}\)

B. \((\sqrt{V})^3\)

C. \(6 * (\sqrt{V})^3\)

D. \((\sqrt[3]{V})^2\)

E. \(6 * (\sqrt[3]{V})^2\)



Alternate approach

Formula used:
Volume of a cube = \(a^3\) | Surface area of a cube = \(6a^2\) where \(a\) is the side of a cube

Let's assume the value of the volume of the cube to be 8
If the volume of the cube is 8, the side is \((\sqrt[3]{8}) = 2\), the surface area is \(6*2^2 = 24\)

Evaluating answer options with \(V = 8\)

A. \(6 \sqrt{V} = 6 \sqrt{8} = 12\sqrt{2}\)
B. \((\sqrt{V})^3 = (\sqrt{8})^3 = 16\sqrt{2}\)
C. \(6 * (\sqrt{V})^3 = 6 * (\sqrt{8})^3 = 96\sqrt{2}\)
D. \((\sqrt[3]{V})^2 = (\sqrt[3]{8})^2 = 4\)

E. \(6 * (\sqrt[3]{V})^2 = 6 * (\sqrt[3]{8})^2 = 6*4 = 24\) (Option E)
_________________

You've got what it takes, but it will take everything you've got

Target Test Prep Representative
User avatar
G
Status: Head GMAT Instructor
Affiliations: Target Test Prep
Joined: 04 Mar 2011
Posts: 2835
Re: If the volume of a cube is v, what is the surface area of the cube in  [#permalink]

Show Tags

New post 02 Jul 2018, 10:05
Bunuel wrote:
If the volume of a cube is v, what is the surface area of the cube in terms of v?


A. \(6 \sqrt{V}\)

B. \((\sqrt{V})^3\)

C. \(6 * (\sqrt{V})^3\)

D. \((\sqrt[3]{V})^2\)

E. \(6 * (\sqrt[3]{V})^2\)


Since volume of a cube is V = s^3, we have:

s^3 = V

s = ∛V

Since the surface area of a cube is A = 6s^2, we have:

A = 6(∛V)^2

Answer: E
_________________

Jeffery Miller
Head of GMAT Instruction

GMAT Quant Self-Study Course
500+ lessons 3000+ practice problems 800+ HD solutions

Re: If the volume of a cube is v, what is the surface area of the cube in &nbs [#permalink] 02 Jul 2018, 10:05
Display posts from previous: Sort by

If the volume of a cube is v, what is the surface area of the cube in

  new topic post reply Question banks Downloads My Bookmarks Reviews Important topics  

Events & Promotions

PREV
NEXT


GMAT Club MBA Forum Home| About| Terms and Conditions and Privacy Policy| GMAT Club Rules| Contact| Sitemap

Powered by phpBB © phpBB Group | Emoji artwork provided by EmojiOne

Kindly note that the GMAT® test is a registered trademark of the Graduate Management Admission Council®, and this site has neither been reviewed nor endorsed by GMAC®.