SOLUTION: a wooden pyramid is to be cut into 2 parts of equal weights by a plane parallel to its base. find the ratio of the heights of the two parts
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Question 1085826: a wooden pyramid is to be cut into 2 parts of equal weights by a plane parallel to its base. find the ratio of the heights of the two parts
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
A wooden pyramid is to be cut into 2 parts of equal weights by a plane parallel to its base.
Find the ratio of the heights of the two parts.
:
Use an example the original pyramid: base = 100 sq/units, height = 12 unit
*100*12 = 400 cu/units
By what percent x,(decimal form) do we have to reduce the base area and height to get a vol of 200 cu/units
*100x * 12x = 200
= 200
400x^2 = 200
x^2 =
x^2 = .5
x =
x = .707
check the half pyramid vol
.707(100) * .707(12) =
= 199.97 ~ 200
:
Ratio of the heights 1:707
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