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GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
A closed rectangular box with a square base is 5 inches in h
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24 Mar 2020, 08:48
24 Mar 2020, 08:48
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A closed rectangular box with a square base is 5 inches in height. If the volume of the box is 45 square inches, what is the box’s surface area in square inches?
(A) 45
(B) 66
(C) 78
(D) 81
(E) 90
(A) 45
(B) 66
(C) 78
(D) 81
(E) 90
GRE Prep Club Team Member
Joined: 20 Feb 2017
Posts: 2506
Given Kudos: 1055
GPA: 3.39
Re: A closed rectangular box with a square base is 5 inches in h
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08 Mar 2021, 22:07
08 Mar 2021, 22:07
Expert Reply
Explain the question and get a Kudos!
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Joined: 16 Apr 2020
Status:Founder & Quant Trainer
Affiliations: Prepster Education
Posts: 1546
Given Kudos: 172
Location: India
WE:Education (Education)
Re: A closed rectangular box with a square base is 5 inches in h
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08 Mar 2021, 22:55
08 Mar 2021, 22:55
1
GeminiHeat wrote:
A closed rectangular box with a square base is 5 inches in height. If the volume of the box is 45 square inches, what is the box’s surface area in square inches?
(A) 45
(B) 66
(C) 78
(D) 81
(E) 90
(A) 45
(B) 66
(C) 78
(D) 81
(E) 90
This is how I did it!
We do not know if the sides are integers or not
\(Volume = lbh\)
\(45 = 5lb\)
\(lb = 9\)
\(T.S.A = 2(lb + bh = lh)\)
\(= 2(9 + 5b + 5l)\)
\(= 18 + 10(l + b)\)
We are looking for an option choice which is divisible by \(10\) when \(18\) is subtracted from it!
Only C Matches
\(78 - 18 = 60\) and is divisible by \(10\)
Hence, option C
