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Base Bottom

April 13th, 2012

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What is the Volume of This Frustum in the Shape of a square based pyramid?

The top face is 3 m by 3 m
the trapezoid wall height is 6m the top is 3m and the bottom is 8m
the base bottom square is 8 m by 8 m

Hello

By the wall height you mean the actual height of the wall, not the vertical height of the frustum, right?
The vertical height of the frustum is
h: ((8-3)/2)^2 + h^2 =6^2
h = √(6^2 - 2,5^2) = 5,4543 m

And the volume of the frustum is
V = h/3*(B1 + B2 + √(B1*B2)) ( B1 and B2 = area of lower and upper base)
V = 5,4543/3*(64 + 9 + √(64*9))
V = 5,4543/3*97
V = 176,3557 m^3

Regards

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