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A certain building is a rectangular solid with a square base
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25 Nov 2020, 09:28
25 Nov 2020, 09:28
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Question Stats:
74% (01:11) correct
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A certain building is a rectangular solid with a square base of side length of 25 meters and a volume of 13,000 cubic meters. What is the volume, in cubic meters, of a building that has a square base with a side of 75 meters and the same height as the other building?
A. 1,444.4
B. 4,333.3
C. 39,000
D. 117,000
E. 351,000
A. 1,444.4
B. 4,333.3
C. 39,000
D. 117,000
E. 351,000
Re: A certain building is a rectangular solid with a square base
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31 Dec 2020, 20:05
31 Dec 2020, 20:05
1
Building 1 has a square base of length 25 hence width will be 25 as well.
Building 2 has a square base of length 75 hence width will be 75 as well.
Height for both the building is same.
Now the volume is calculated as V = length * width * height
We can see that for building 2, length is 3 times the length of first. Same goes for width.
So the volume of building 2 will be 3 * 3 = 9 times the volume of the first building.
Hence volume of building 2 = 3 * 3 * 13000 = 117,000
Answer D
Building 2 has a square base of length 75 hence width will be 75 as well.
Height for both the building is same.
Now the volume is calculated as V = length * width * height
We can see that for building 2, length is 3 times the length of first. Same goes for width.
So the volume of building 2 will be 3 * 3 = 9 times the volume of the first building.
Hence volume of building 2 = 3 * 3 * 13000 = 117,000
Answer D
Re: A certain building is a rectangular solid with a square base
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26 Jan 2021, 07:49
26 Jan 2021, 07:49
2
For the 1st Building:
Square base with side = 25 meters.
Therefore the base is \(25*25\) = \(625\) \(m^2\)
Volume of the building is given as: \(13000\) cubic meters.
Hence, Height of the building can be found out with
H = \(\frac{13000}{625}\) = \(20.8
\)
For the 2nd Building:
The height is the same as the 1st building
The side of the square base is 75 meters.
Volume of the building is \(75*75* 20.8\) = 117000 cubic meters.
D
Square base with side = 25 meters.
Therefore the base is \(25*25\) = \(625\) \(m^2\)
Volume of the building is given as: \(13000\) cubic meters.
Hence, Height of the building can be found out with
H = \(\frac{13000}{625}\) = \(20.8
\)
For the 2nd Building:
The height is the same as the 1st building
The side of the square base is 75 meters.
Volume of the building is \(75*75* 20.8\) = 117000 cubic meters.
D
