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

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Math Expert
Joined: 02 Sep 2009
Posts: 58335
In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480  [#permalink]

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28 Jan 2019, 00:43
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Difficulty:

15% (low)

Question Stats:

89% (01:53) correct 11% (02:03) wrong based on 24 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

Attachment:

rectangular solid.jpg [ 6 KiB | Viewed 572 times ]

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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, 01:30
PQ*QR*SR = 480
SR = 8

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

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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, 03:26
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

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, 04:09
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

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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Re: In the rectangular solid shown, PQ = 5, QR = 12, and the volume is 480   [#permalink] 28 Jan 2019, 04:09
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