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

 It is currently 05 Dec 2019, 07:29

### 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

# Mary’s bedroom is an exact cube with volume measuring 1000 cubic fee

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59561
Mary’s bedroom is an exact cube with volume measuring 1000 cubic fee  [#permalink]

### Show Tags

22 Nov 2016, 05:49
00:00

Difficulty:

15% (low)

Question Stats:

84% (01:50) correct 16% (02:47) wrong based on 83 sessions

### HideShow timer Statistics

Mary’s bedroom is an exact cube with volume measuring 1000 cubic feet. The bedroom is furnished with a rectangular yoga mat measuring 6 feet long by 4 feet wide and a circular rug measuring 6 feet in diameter. If Mary has no other furniture in her bedroom and the yoga mat and rug do not intersect in any way, how much of her bedroom floor is NOT covered by furniture?

A. 33 square feet
B. 24+9π square feet
C. 76−9π square feet
D. 67 square feet
E. 100 square feet

_________________
Senior Manager
Joined: 06 Jun 2016
Posts: 250
Location: India
Concentration: Operations, Strategy
Schools: ISB '18 (D)
GMAT 1: 600 Q49 V23
GMAT 2: 680 Q49 V34
GPA: 3.9
Re: Mary’s bedroom is an exact cube with volume measuring 1000 cubic fee  [#permalink]

### Show Tags

22 Nov 2016, 06:52
Bunuel wrote:
Mary’s bedroom is an exact cube with volume measuring 1000 cubic feet. The bedroom is furnished with a rectangular yoga mat measuring 6 feet long by 4 feet wide and a circular rug measuring 6 feet in diameter. If Mary has no other furniture in her bedroom and the yoga mat and rug do not intersect in any way, how much of her bedroom floor is NOT covered by furniture?

A. 33 square feet
B. 24+9π square feet
C. 76−9π square feet
D. 67 square feet
E. 100 square feet

C

Floor area= 10*10=100 square feet
area of yoga mat= 6*4= 24 square feet
area of circular rug= π*3*3= 9π square feet
Required= 100-24-9π= 76-9π
Intern
Joined: 15 Nov 2016
Posts: 10
Re: Mary’s bedroom is an exact cube with volume measuring 1000 cubic fee  [#permalink]

### Show Tags

22 Nov 2016, 07:52
Area of floor of room =10*10
Cube root of 1000
Area occupied by mat and rug = 6*4+pi*9
Area not occupied = 100-24-9pi hence ans c

Sent from my Redmi Note 3 using GMAT Club Forum mobile app
Board of Directors
Status: QA & VA Forum Moderator
Joined: 11 Jun 2011
Posts: 4835
Location: India
GPA: 3.5
Re: Mary’s bedroom is an exact cube with volume measuring 1000 cubic fee  [#permalink]

### Show Tags

22 Nov 2016, 07:54
Bunuel wrote:
Mary’s bedroom is an exact cube with volume measuring 1000 cubic feet. The bedroom is furnished with a rectangular yoga mat measuring 6 feet long by 4 feet wide and a circular rug measuring 6 feet in diameter. If Mary has no other furniture in her bedroom and the yoga mat and rug do not intersect in any way, how much of her bedroom floor is NOT covered by furniture?

A. 33 square feet
B. 24+9π square feet
C. 76−9π square feet
D. 67 square feet
E. 100 square feet

Length = Breadth = Height = 10

Floor Area = Length * Breadth

Floor Area = 10 * 10 => 100

Area of yoga mat = 6*4 = 24
Area of circular rug = π*3^2 =9π

Area of Floor not covered by yoga mat and circular rug = Total Area of Floor - ( Area of Yoga Mat + Area of circular rug )

Area of Floor not covered by yoga mat and circular rug = 100 - ( 24 + 9π ) => 76−9π

Hencem Answer will be (C) 76−9π
_________________
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 )
Manager
Status: IF YOU CAN DREAM IT, YOU CAN DO IT
Joined: 03 Jul 2017
Posts: 186
Location: India
Re: Mary’s bedroom is an exact cube with volume measuring 1000 cubic fee  [#permalink]

### Show Tags

02 Aug 2017, 21:50
when the bedroom is a cube then the total surface area is 6a^2=6*(10)^2 =600
But here are we just considering the one area that is each face of the cube and so that is 10*10=100
IS my reasoning correct??
Re: Mary’s bedroom is an exact cube with volume measuring 1000 cubic fee   [#permalink] 02 Aug 2017, 21:50
Display posts from previous: Sort by