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katelynn73
30.09.2019 •
Mathematics
The height of one solid limestone square peer amid is 24 m. a similar solid limestone square peer med has a height of 30 m. the volume of the larger pier mid is 16,000 meters cubed. determine each of the following, showing all your work and reasoning. a, the scale factor of the small pier mid to large apartment in simplest form
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Ответ:
V=s²h/3, where
s is the side of the square base
h is the vertical height of the pyramid
First, you find the area of the base s² from the known volume of the larger pyramid.
16,000 = s²(30)/3
s² = 1,600
Then, assuming both pyramids have equal areas of bases, we can use this value for the smaller pyramid. We can determine its volume to be
V = (1,600)(24)/3 = 12,800
Thus, the scale factor for the small pyramid to the big pyramid is 12,800/16,000 or 4/5.
Ответ:
Step-by-step explanation: