Asked by Frank
The question
A granite cube is 10 times that of another granite cube. The pressure exerted by the larger cube on its base is how many times more the pressure exerted by the smaller cube on its base?
A granite cube is 10 times that of another granite cube. The pressure exerted by the larger cube on its base is how many times more the pressure exerted by the smaller cube on its base?
Answers
Answered by
Damon
Well I guess you mean the weight is 10 times the little one
say the big one is 1 m on a side, vol = 1
so
vol /surface area of bottom = 1
little one volume = .1
so side = .1^(1/3)
bottom area = .1^2/3
vol/surface area = .1/(.1^(2/3))
ratio = 1/ [.1/(.1^(2/3))]
= .1^(2/3)/.1^(1) = .1^-(1/3)
=2.15
say the big one is 1 m on a side, vol = 1
so
vol /surface area of bottom = 1
little one volume = .1
so side = .1^(1/3)
bottom area = .1^2/3
vol/surface area = .1/(.1^(2/3))
ratio = 1/ [.1/(.1^(2/3))]
= .1^(2/3)/.1^(1) = .1^-(1/3)
=2.15
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