In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480 : Problem Solving (PS)

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In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480

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Joined: 02 Sep 2009

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In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480 [#permalink]

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27 Jan 2019, 23:43

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Difficulty:

15% (low)

Question Stats:

91% (01:56) correct

9% (01:59) wrong

based on 17 sessions

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In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480. What is the total surface area of the solid, in square units?

A. 382
B. 384
C. 388
D. 390
E. 392

Spoiler: ::

Attachment:

rectangular solid.jpg [ 6 KiB | Viewed 239 times ]

Spoiler: OA

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Re: In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480 [#permalink]

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28 Jan 2019, 00:30

PQ*QR*SR = 480
SR = 8

Surface area = 2(lb+bh+hl) = 2(40+60+96) = 392

E is the answer.
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Re: In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480 [#permalink]

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28 Jan 2019, 02:26

Bunuel wrote:

In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480. What is the total surface area of the solid, in square units?

A. 382
B. 384
C. 388
D. 390
E. 392

Spoiler: ::

Attachment:

rectangular solid.jpg

5*12*x= 480
x= 8
2* ( lb+bh+lh)
2* ( 5*12+12*8+5*8)
2 * 196
392
IMO E
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Re: In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480 [#permalink]

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28 Jan 2019, 03:09

Bunuel wrote:

In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480. What is the total surface area of the solid, in square units?

A. 382
B. 384
C. 388
D. 390
E. 392

Spoiler: ::

Attachment:

rectangular solid.jpg

Volume = lbh => 5 * 12* h = 480
h = 8

2(lb + bh + lh ) = 2(60 + 96 + 40)= 2* (196) = 392

E
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