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# In the rectangular solid above, the three sides shown have

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Manager
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In the rectangular solid above, the three sides shown have [#permalink]  05 Dec 2012, 08:11
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66% (01:59) correct 34% (00:44) wrong based on 541 sessions
Attachment:

volume.png [ 7.95 KiB | Viewed 5607 times ]
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600
[Reveal] Spoiler: OA
Math Expert
Joined: 02 Sep 2009
Posts: 27123
Followers: 4199

Kudos [?]: 40540 [6] , given: 5540

Re: In the rectangular solid above, the three sides shown have [#permalink]  05 Dec 2012, 08:14
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KUDOS
Expert's post
1
This post was
BOOKMARKED
Attachment:
volume.png
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600

Say the dimensions of the rectangular solid are x by y by z, then the volume is xyz.

We are given that:

xy=12;
xz=15;
yz=20.

Multiply all three: (xyz)^2=12*15*20=3,600 --> xyz=volume=60.

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Manager
Joined: 15 Apr 2013
Posts: 86
Location: India
Concentration: Finance, General Management
Schools: ISB '15
WE: Account Management (Other)
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Kudos [?]: 28 [1] , given: 61

Re: In the rectangular solid above, the three sides shown have [#permalink]  02 Jun 2013, 06:41
1
KUDOS
What if the actual test the same questions with very big number? will the same technique hold good? that may take some massive time with bigger numbers.
Math Expert
Joined: 02 Sep 2009
Posts: 27123
Followers: 4199

Kudos [?]: 40540 [1] , given: 5540

Re: In the rectangular solid above, the three sides shown have [#permalink]  02 Jun 2013, 08:44
1
KUDOS
Expert's post
pavan2185 wrote:
What if the actual test the same questions with very big number? will the same technique hold good? that may take some massive time with bigger numbers.

Real GMAT questions, including 700+ questions, do not require tedious math, so even with some big numbers there would be some shortcut possible
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Kudos [?]: 24 [2] , given: 22

Re: In the rectangular solid above, the three sides shown have [#permalink]  02 Jun 2013, 13:09
2
KUDOS
Attachment:
volume.png
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600

Another approach.
Given L*B = 20 = 5*4 ; L*H = 15 = 5*3 ; B*H=12 = 4*3
So our L = 5 ; B = 4 ; and H = 3

LBH = 60
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Re: In the rectangular solid above, the three sides shown have [#permalink]  18 Dec 2013, 16:25
Bunuel wrote:
Attachment:
volume.png
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600

Say the dimensions of the rectangular solid are x by y by z, then the volume is xyz.

We are given that:

xy=12;
xz=15;
yz=20.

Multiply all three: (xyz)^2=12*15*20=3,600 --> xyz=volume=60.

What's the rationale behind multiplying all 3?
Math Expert
Joined: 02 Sep 2009
Posts: 27123
Followers: 4199

Kudos [?]: 40540 [0], given: 5540

Re: In the rectangular solid above, the three sides shown have [#permalink]  19 Dec 2013, 00:11
Expert's post
1
This post was
BOOKMARKED
rxn wrote:
Bunuel wrote:
Attachment:
volume.png
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600

Say the dimensions of the rectangular solid are x by y by z, then the volume is xyz.

We are given that:

xy=12;
xz=15;
yz=20.

Multiply all three: (xyz)^2=12*15*20=3,600 --> xyz=volume=60.

What's the rationale behind multiplying all 3?

We need to find the volume, which is xyz. When we multiply we get (xyz)^2, so to get the volume all we need to do is to take the square root from it .
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Math Expert
Joined: 02 Sep 2009
Posts: 27123
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Kudos [?]: 40540 [0], given: 5540

Re: In the rectangular solid above, the three sides shown have [#permalink]  21 Jul 2014, 13:58
Expert's post
Bunuel wrote:
Attachment:
volume.png
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600

Say the dimensions of the rectangular solid are x by y by z, then the volume is xyz.

We are given that:

xy=12;
xz=15;
yz=20.

Multiply all three: (xyz)^2=12*15*20=3,600 --> xyz=volume=60.

Similar question to practice: if-a-rectangular-box-has-two-faces-with-an-area-of-30-two-174562.html
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Joined: 07 Apr 2014
Posts: 148
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Kudos [?]: 10 [0], given: 81

Re: In the rectangular solid above, the three sides shown have [#permalink]  11 Sep 2014, 04:23
Attachment:
volume.png
In the rectangular solid above, the three sides shown have areas 12, 15, and 20, respectively. What is the volume of the solid?

(A) 60
(B) 120
(C) 450
(D) 1,800
(E) 3,600

two side should share the same length
area 12, 15, 20

3,4 ; 3,5 ; 5,4

3*4*5=60
Re: In the rectangular solid above, the three sides shown have   [#permalink] 11 Sep 2014, 04:23
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