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# Each dimension of the rectangular solid pictured is an integer less th

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Math Expert
Joined: 02 Sep 2009
Posts: 51229
Each dimension of the rectangular solid pictured is an integer less th  [#permalink]

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03 Jul 2018, 00:53
00:00

Difficulty:

35% (medium)

Question Stats:

88% (01:32) correct 12% (02:14) wrong based on 37 sessions

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Each dimension of the rectangular solid pictured is an integer less than 6. Which of the following is the total surface area of the solid?

A. 24

B. 52

C. 60

D. 68

E. 78

Attachment:

cube2.jpg [ 11.23 KiB | Viewed 349 times ]

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Joined: 20 Feb 2015
Posts: 795
Concentration: Strategy, General Management
Re: Each dimension of the rectangular solid pictured is an integer less th  [#permalink]

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03 Jul 2018, 01:27
Bunuel wrote:

Each dimension of the rectangular solid pictured is an integer less than 6. Which of the following is the total surface area of the solid?

A. 24

B. 52

C. 60

D. 68

E. 78

Attachment:
cube2.jpg

TSA=2lb+2bh+2lh
v=lbh
v=24
24=4lh
lh=6
therefore,
either l =3 or l=2
in any case -
TSA=2*3*2+2*3*4+2*4*2
TSA=12+24+16=52
Re: Each dimension of the rectangular solid pictured is an integer less th &nbs [#permalink] 03 Jul 2018, 01:27
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