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Moderator  Joined: 18 Apr 2015
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Kudos [?]: 1156 , given: 5481

Each dimension of the rectangular solid pictured is an integ [#permalink]
Expert's post 00:00

Question Stats: 100% (01:09) correct 0% (00:00) wrong based on 1 sessions
Attachment: cube.jpg [ 10.58 KiB | Viewed 637 times ]

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
[Reveal] Spoiler: OA

_________________ Director  Joined: 07 Jan 2018
Posts: 604
Followers: 7

Kudos [?]: 546  , given: 88

Re: Each dimension of the rectangular solid pictured is an integ [#permalink]
1
KUDOS
surface area of a cuboid is given by $$2(lb +lh + bh)$$
volume $$= l*b*h = 24$$
given b = 4 we can simply the volume as $$l*4 *h = 24$$
or, $$l*h = 6$$
therefore the two dimension must be $$2$$ and $$3$$ it does not matter whether length is $$2$$ or height is $$2$$
Also notice that $$6$$ and $$1$$ may also be the dimension but question mentions that each dimension is less than $$6$$
now surface area $$= 2(8 + 12 + 6) =52$$
option B
_________________

This is my response to the question and may be incorrect. Feel free to rectify any mistakes Re: Each dimension of the rectangular solid pictured is an integ   [#permalink] 24 Apr 2018, 03:28
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