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In the rectangular solid shown, PQ = 5, QR = 12, and the ...
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23 Jan 2019, 23:42
23 Jan 2019, 23:42
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96% (01:34) correct
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#GREpracticequestion In the rectangular solid shown, PQ = 5.jpg [ 6 KiB | Viewed 5004 times ]
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?
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392
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Joined: 10 Apr 2015
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Given Kudos: 136
Re: In the rectangular solid shown, PQ = 5, QR = 12, and the ...
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30 Jan 2019, 09:46
30 Jan 2019, 09:46
CAMANISHPARMAR wrote:
Attachment:
#GREpracticequestion In the rectangular solid shown, PQ = 5.jpg
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?
Show: ::
392
Add information to diagram, and let x = length of missing side
The volume of a rectangular box = (length)(width)(height)
We're told the volume = 480
So, we can write: (5)(12)(x) = 480
Simplify to get: 60x = 480
Solve, x = 8
Add this info to the diagram....
What is the total surface area of the solid, in square units?
Area of FRONT face = (8)(12) = 96
So, area of BACK face = 96
Area of TOP face = (5)(12) = 60
So, area of BOTTOM face = 60
Area of LEFT face = (5)(8) = 40
So, area of RIGHT face = 40
TOTAL surface area = 96 + 96 + 60 + 60 + 40 + 40
= 392
Answer: 392
Cheers,
Brent
Re: In the rectangular solid shown, PQ = 5, QR = 12, and the ...
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12 Aug 2021, 15:56
12 Aug 2021, 15:56
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