Need a math Wizzard

by swez
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Hey guys,

Am designing a sub enclosure in a trapezoid form. I could use some help confirming some numbers and angles here. Anyone care to help out? (I guess I was asleep in advanced math classes some 30 years ago.... hehe)

Here's the basics:

Max Height: 16.0"
Width at base: ~32.0"
Depth at base: ~24.0"
Hypotneuse: ~17.2" on each side (+/- 1-2" is OK)

Peak Angle a: 35.5 degrees (+/- 1 degree)
Base angle b: 90 degrees
Base Angles c: 60 degrees (+/- 1 degree, at both ends are good)
Material thickness: 1.0" MDF

Target internal airspace: 3.25 ft^3

So far, I have come up with some values. Since I am not a math wizz, need someone who is to confirm or adjust the following parameters:

Max height external: 16.0"
Internal height: 14.0" net

Used 2 opposing right trangle wedges first:
Board: 1.0" MDF
Base: 8.0"
Height: 16.0"
Width: 32.0" (Adjustable is needed)
Hypotneus: 17.2"
Angle a: 90 degrees
Angle b: 35.5 degrees
Angle c: 60 degrees

Each right triangle nets 0.73 ft^3 (0.73 x 2 = 1.46 ft^3)
This value will change dramatically when routed out. (Roughly a 2.0 ft^3 value is what I estimated)

Note: The right angle vertical boards will be internal supports only. These boards can be routed/hogged out as needed to increase internal airspace.

Now, the center part of the trapezoid seems pretty much like a rectangle. Here, I am factoring the following dimensions:

Height: 16.0" (external) 14.0" (internal)
Width: 32".0 (external) 30.0" (internal
Depth: 7.0"
Internal airspace: 1.22 ft^3

Let's see... 1.22 + 2.0 = 3.22 fT^3. (Close enough as the sub has a displacement value of 0.150 ft^3)





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