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02 Mar 2017, 21:16
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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
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
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)
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03 Mar 2017, 00:23
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vikasp99
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
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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