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

 It is currently 06 Dec 2019, 00:44

### 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

# The sum of the areas of the faces of a cube is 300 square inches. The

Author Message
TAGS:

### Hide Tags

Math Expert
Joined: 02 Sep 2009
Posts: 59561
The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

### Show Tags

04 Dec 2017, 03:38
00:00

Difficulty:

25% (medium)

Question Stats:

76% (01:19) correct 24% (01:31) wrong based on 50 sessions

### HideShow timer Statistics

The sum of the areas of the faces of a cube is 300 square inches. The volume of this cube, in cubic inches, is

(A) 125√2
(B) 250√2
(C) 300√2
(D) 2,500
(E) 125,000
Current Student
Joined: 18 Aug 2016
Posts: 594
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

### Show Tags

04 Dec 2017, 04:31
1
Bunuel wrote:
The sum of the areas of the faces of a cube is 300 square inches. The volume of this cube, in cubic centimeters, is

(A) 125√2
(B) 250√2
(C) 300√2
(D) 2,500
(E) 125,000

$$6a^2 = 300$$
$$a = 5\sqrt{2}$$
$$a^3 = 250 \sqrt{2}$$
B
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Intern
Joined: 26 Oct 2017
Posts: 25
Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

### Show Tags

04 Dec 2017, 04:50
1
Be aware - the question ask volume in cubic cm

Given - surface area =300
6*a^2=300
Side = 5\sqrt {2}\ INCHES

Volume =a^3* (2.54)^3 cubic cm
( 1 inch =2.54 cm)

No need to calculate

Imo E

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app
Current Student
Joined: 18 Aug 2016
Posts: 594
Concentration: Strategy, Technology
GMAT 1: 630 Q47 V29
GMAT 2: 740 Q51 V38
Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

### Show Tags

04 Dec 2017, 05:58
1
lesner19 wrote:
Be aware - the question ask volume in cubic cm

Given - surface area =300
6*a^2=300
Side = 5\sqrt {2}\ INCHES

Volume =a^3* (2.54)^3 cubic cm
( 1 inch =2.54 cm)

No need to calculate

Imo E

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Hi Bunuel,

As rightly pointed out by lesner19 the volume should be in cubic inch..Please correct me if i am wrong
_________________
We must try to achieve the best within us

Thanks
Luckisnoexcuse
Math Expert
Joined: 02 Sep 2009
Posts: 59561
Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

### Show Tags

04 Dec 2017, 06:05
Luckisnoexcuse wrote:
lesner19 wrote:
Be aware - the question ask volume in cubic cm

Given - surface area =300
6*a^2=300
Side = 5\sqrt {2}\ INCHES

Volume =a^3* (2.54)^3 cubic cm
( 1 inch =2.54 cm)

No need to calculate

Imo E

Sent from my ONEPLUS A3003 using GMAT Club Forum mobile app

Hi Bunuel,

As rightly pointed out by lesner19 the volume should be in cubic inch..Please correct me if i am wrong

_______________
Edited. Thank you.
Target Test Prep Representative
Status: Founder & CEO
Affiliations: Target Test Prep
Joined: 14 Oct 2015
Posts: 8619
Location: United States (CA)
Re: The sum of the areas of the faces of a cube is 300 square inches. The  [#permalink]

### Show Tags

12 Jan 2018, 07:15
Bunuel wrote:
The sum of the areas of the faces of a cube is 300 square inches. The volume of this cube, in cubic inches, is

(A) 125√2
(B) 250√2
(C) 300√2
(D) 2,500
(E) 125,000

Since there are 6 faces of a cube, if we let the side of the cube = n, we have:

6n^2 = 300

n^2 = 50

n = √50

Since the volume of the cube is n^3, we have:

volume = √50 x √50 x √50 = 50√50 = 50 x √25 x √2 = 50 x 5 x √2 = 250√2

_________________

# Scott Woodbury-Stewart

Founder and CEO

Scott@TargetTestPrep.com
122 Reviews

5-star rated online GMAT quant
self study course

See why Target Test Prep is the top rated GMAT quant course on GMAT Club. Read Our Reviews

If you find one of my posts helpful, please take a moment to click on the "Kudos" button.

Re: The sum of the areas of the faces of a cube is 300 square inches. The   [#permalink] 12 Jan 2018, 07:15
Display posts from previous: Sort by