According to building specifications and physical measurements, the maximum weight that foundation columns of tall buildings can carry varies directly with the fourth power of their perimeter. In a specific sample check, it was found that a column with a perimeter of 6m could hold a weight of 55000 kg. a Find the formula that relates the perimeter of the column to the weight it can carry. b Estimate the weight that another column of the same make with a perimeter of 8m can hold. c Calculate the perimeter that a column should have in order to be able to hold 200 000 kg?

Elementary Geometry For College Students, 7e
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Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
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Chapter9: Surfaces And Solids
Section9.4: Polyhedrons And Spheres
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6 According to building specifications and
physical measurements, the maximum
weight that foundation columns of tall
buildings can carry varies directly with the
fourth power of their perimeter.
In a specific sample check, it was found that
a column with a perimeter of 6m could
hold a weight of 55 000 kg.
a Find the formula that relates the
perimeter of the column to the weight it
can carry.
b Estimate the weight that another
column of the same make with a
perimeter of 8m can hold.
c Calculate the perimeter that a column
should have in order to be able to hold
200000 kg?
Transcribed Image Text:6 According to building specifications and physical measurements, the maximum weight that foundation columns of tall buildings can carry varies directly with the fourth power of their perimeter. In a specific sample check, it was found that a column with a perimeter of 6m could hold a weight of 55 000 kg. a Find the formula that relates the perimeter of the column to the weight it can carry. b Estimate the weight that another column of the same make with a perimeter of 8m can hold. c Calculate the perimeter that a column should have in order to be able to hold 200000 kg?
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