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

It is currently 21 Oct 2018, 16:55

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

A large cube is composed of smaller cubes, each of which are 125 cubic

  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: 50009
A large cube is composed of smaller cubes, each of which are 125 cubic  [#permalink]

Show Tags

New post 05 Jul 2018, 04:59
00:00
A
B
C
D
E

Difficulty:

  15% (low)

Question Stats:

83% (01:15) correct 17% (01:42) wrong based on 37 sessions

HideShow timer Statistics

A large cube is composed of smaller cubes, each of which are 125 cubic centimeters in volume. If the larger cube has four of these smaller cubes as one of its lengths, what is the total volume of the larger cube, in cubic centimeters?

A) 125
B) 625
C) 2,000
D) 8,000
E) 15,625

_________________

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
G
Joined: 20 Apr 2018
Posts: 179
Concentration: Technology, Nonprofit
WE: Analyst (Non-Profit and Government)
Premium Member CAT Tests
Re: A large cube is composed of smaller cubes, each of which are 125 cubic  [#permalink]

Show Tags

New post 05 Jul 2018, 05:16
Small cube has a volume of 25 cm^3. That means the edge of the small cube is 5 cm long.
4 cubes make up the length of the larger cube. This implies the edge of the larger cube is 20 cm.
Volume = 8000cm^3

Answer: D
Director
Director
User avatar
P
Status: Learning stage
Joined: 01 Oct 2017
Posts: 892
WE: Supply Chain Management (Energy and Utilities)
Premium Member
Re: A large cube is composed of smaller cubes, each of which are 125 cubic  [#permalink]

Show Tags

New post 05 Jul 2018, 05:23
Bunuel wrote:
A large cube is composed of smaller cubes, each of which are 125 cubic centimeters in volume. If the larger cube has four of these smaller cubes as one of its lengths, what is the total volume of the larger cube, in cubic centimeters?

A) 125
B) 625
C) 2,000
D) 8,000
E) 15,625


Given, Volume of each of the smaller cubes=125 cc
So, Side of a smaller cube=5cm
Side of larger cube=4*side of smaller cube=4*5=20cm
Hence, volume of larger cube=\((20)^3=8000\)

Ans. (D)
_________________

Regards,

PKN

Rise above the storm, you will find the sunshine

Board of Directors
User avatar
P
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4095
Location: India
GPA: 3.5
WE: Business Development (Commercial Banking)
GMAT ToolKit User Premium Member
Re: A large cube is composed of smaller cubes, each of which are 125 cubic  [#permalink]

Show Tags

New post 05 Jul 2018, 07:56
Bunuel wrote:
A large cube is composed of smaller cubes, each of which are 125 cubic centimeters in volume. If the larger cube has four of these smaller cubes as one of its lengths, what is the total volume of the larger cube, in cubic centimeters?

A) 125
B) 625
C) 2,000
D) 8,000
E) 15,625

Volume of smaller cube is 125, so its sides must be 5

Length of the large cube must be 20

Volume of the large cube must be 20^3 = 8000, Answer must be (D)
_________________

Thanks and Regards

Abhishek....

PLEASE FOLLOW THE RULES FOR POSTING IN QA AND VA FORUM AND USE SEARCH FUNCTION BEFORE POSTING NEW QUESTIONS

How to use Search Function in GMAT Club | Rules for Posting in QA forum | Writing Mathematical Formulas |Rules for Posting in VA forum | Request Expert's Reply ( VA Forum Only )

Target Test Prep Representative
User avatar
P
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 3896
Location: United States (CA)
Re: A large cube is composed of smaller cubes, each of which are 125 cubic  [#permalink]

Show Tags

New post 07 Jul 2018, 18:28
Bunuel wrote:
A large cube is composed of smaller cubes, each of which are 125 cubic centimeters in volume. If the larger cube has four of these smaller cubes as one of its lengths, what is the total volume of the larger cube, in cubic centimeters?

A) 125
B) 625
C) 2,000
D) 8,000
E) 15,625


If the larger cube has four smaller cubes as one of its lengths, then it has 4 x 4 x 4 = 64 smaller cubes. Since each smaller cube has a volume of 125 cubic centimeters, the volume of the larger cube is 64 x 125 = 8,000 cubic centimeters.

Alternate Solution:

Since each small cube has a volume of 125 cubic centimeters, the side of each small cube is 5 centimeters. The large cube has a length that is equal to 4 times the length of a small cube, so its length is 20 centimeters. Thus, the volume of the large cube is 20 x 20 x 20 = 8,000 cubic centimeters.

Answer: D
_________________

Scott Woodbury-Stewart
Founder and CEO

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

GMAT Club Bot
Re: A large cube is composed of smaller cubes, each of which are 125 cubic &nbs [#permalink] 07 Jul 2018, 18:28
Display posts from previous: Sort by

A large cube is composed of smaller cubes, each of which are 125 cubic

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


Copyright

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®.