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02 Mar 2017, 21:16
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D
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (02:08) correct
23%
(02:19)
wrong
based on 90
sessions
History
Date
Time
Result
Not Attempted Yet
The City Opera House is expanding. Currently the city block containing the opera house is rectangular-shaped with a total volume of 9600 feet. If the expanded Opera House is 2.5 times as long, wide, and deep as the original building, what would the new volume be?
A. 24,000
B. 60,000
C. 72,000
D. 150,000
E. 245,000
A. 24,000
B. 60,000
C. 72,000
D. 150,000
E. 245,000
02 Mar 2017, 22:43
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vikasp99
Use approximation. The current volume is 9600 which is about 10,000 cubic feet.
If length, width and height are each made 2.5 times, the overall volume will become 2.5*2.5*2.5 = 15.625 times the previous volume.
This means the new volume will be about 150,000.
Answer (D)
0akshay0
Joined: 19 Apr 2016
Last visit: 14 Jul 2019
Posts: 192
Given Kudos: 59
Location: India
Schools: Jindal '20 Kelley '20 Broad '20 Carey '20 Mays '20
GMAT 1: 570 Q48 V22
GMAT 2: 640 Q49 V28
GPA: 3.5
WE:Web Development (Computer Software)
03 Mar 2017, 00:23
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vikasp99
l*b*h = 9600
Expanded Opera House is 2.5 times as long, wide, and deep as the original building
2.5l * 2.5b * 2.5h
= \(2.5^3\) * l*b*h
= \(2.5^3\) * 9600
= 150000
Hence option D is correct
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