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#1 2009-02-18 06:20:37
- Danbee
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- Registered: 2008-08-28
- Posts: 21
Application of integrals
Calculate the volume of a solid with base in the plane an equilateral triangle of side 1, with base on the x-axis, and with vertical cross section parallel to the y-axis consisting of an equilateral triangle.
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#2 2009-02-24 19:32:40
- LampShade
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- Registered: 2009-02-22
- Posts: 23
Re: Application of integrals
It sounds to me like you're dealing with a triangular prism, or a wedge. You mention the sides of the triangular bases are all each 1, yet you don't specify how long the prism is.
The area of an equilateral triangle with side length 1 is √3 / 4.
If the height is h, then the volume is
V = Bh = √3 h/4
-- Boozer
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