It is currently 21 Jan 2018, 20:27

### 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

# Events & Promotions

###### Events & Promotions in June
Open Detailed Calendar

# The areas of faces A, B, and C of the rectangular solid shown in the a

Author Message
TAGS:

### Hide Tags

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4705
GPA: 3.82
The areas of faces A, B, and C of the rectangular solid shown in the a [#permalink]

### Show Tags

04 Jan 2018, 00:31
00:00

Difficulty:

15% (low)

Question Stats:

88% (00:46) correct 12% (01:05) wrong based on 41 sessions

### HideShow timer Statistics

[GMAT math practice question]

Attachment:

20180104_173047.png [ 1.22 KiB | Viewed 273 times ]

The areas of faces A, B, and C of the rectangular solid shown in the above figure are 12, 15, and 20, respectively. What is the volume of the solid?

A. 36
B. 48
C. 60
D. 64
E. 72
[Reveal] Spoiler: OA

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Senior Manager
Joined: 06 Jan 2015
Posts: 282
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: The areas of faces A, B, and C of the rectangular solid shown in the a [#permalink]

### Show Tags

04 Jan 2018, 00:41
MathRevolution wrote:
[GMAT math practice question]

Attachment:
20180104_173047.png

The areas of faces A, B, and C of the rectangular solid shown in the above figure are 12, 15, and 20, respectively. What is the volume of the solid?

A. 36
B. 48
C. 60
D. 64
E. 72

As it is rectangular solid areas of faces A, B, and C = l*b,b*h,l*h

Volume of the solid is l*b*h

So l*b*b*h*l*h = $$l^2*b^2*h^2$$

Volume of the solid =\sqrt{$$l^2*b^2*h^2$$}

=\sqrt{12*15*20}=60
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Senior Manager
Joined: 06 Jan 2015
Posts: 282
Location: India
Concentration: Operations, Finance
GPA: 3.35
WE: Information Technology (Computer Software)
Re: The areas of faces A, B, and C of the rectangular solid shown in the a [#permalink]

### Show Tags

04 Jan 2018, 00:42
MathRevolution wrote:
[GMAT math practice question]

Attachment:
20180104_173047.png

The areas of faces A, B, and C of the rectangular solid shown in the above figure are 12, 15, and 20, respectively. What is the volume of the solid?

A. 36
B. 48
C. 60
D. 64
E. 72

As it is rectangular solid areas of faces A, B, and C = l*b,b*h,l*h

Volume of the solid is l*b*h

So l*b*b*h*l*h = $$l^2*b^2*h^2$$

Volume of the solid =\sqrt{$$l^2*b^2*h^2$$}

=\sqrt{12*15*20}=60

Hence C
_________________

आत्मनॊ मोक्षार्थम् जगद्धिताय च

Resource: GMATPrep RCs With Solution

Math Revolution GMAT Instructor
Joined: 16 Aug 2015
Posts: 4705
GPA: 3.82
Re: The areas of faces A, B, and C of the rectangular solid shown in the a [#permalink]

### Show Tags

07 Jan 2018, 17:16
=>

Let $$a$$ and $$b$$ be the edges of face $$A$$, and let $$b$$ and $$c$$ be the edges of face $$B$$. Then the edges of face $$C$$ are $$a$$ and $$c$$. Moreover, the volume of the solid is $$abc$$. Now,
$$ab = 12$$, $$bc = 15$$ and $$ca = 20$$.
Multiplying these together yields
$$(ab)(bc)(ca) = a^2b^2c^2 = (abc)^2 = 12*15*20 = 3600 = 60^2$$
So $$abc = 60$$.

_________________

MathRevolution: Finish GMAT Quant Section with 10 minutes to spare
The one-and-only World’s First Variable Approach for DS and IVY Approach for PS with ease, speed and accuracy.
Find a 10% off coupon code for GMAT Club members.
“Receive 5 Math Questions & Solutions Daily”
Unlimited Access to over 120 free video lessons - try it yourself

Re: The areas of faces A, B, and C of the rectangular solid shown in the a   [#permalink] 07 Jan 2018, 17:16
Display posts from previous: Sort by