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St. Louis Science Center Planetarium Mathematics I.

Exhibits On A Ring Around The Sky Dome

                                    Level E Is The Floor Of A Space Ship


Name ____________________ Date __________

Solve the problem(s) stated below and attach any graph paper graphs or diagrams. Turn this in to your teacher for class interest. If you wish to email your work to the address below - please use your initials in place of your name. You will probably not get a return response other than a smile. For helpful suggestions link here. For resource equations or formulas related to the St. Louis Science Center Planetarium click here: Link To Formulas

Problem: ( Print this page to work and turn in. )


Level E exhibit area is different from other levels in the way that data is made available. Some data is taken from blueprints such as the level E floor equations given on the formula page as y = -39 for   -61.5 ≤ x ≤ -42   or   42 ≤ x ≤ 61.5. So floor of level E is 11 feet above that of level B give or take a rug thickness. And the x distance may be the distance to columns that support E. level E's interior ring acts as a compression ring on the sky dome, hence, holds the sky dome in place.

Other information has been collected from field trip's devoted to making measurements. "I Beams" bridge from the outer circumference of level E to the top of display panels on level E inner radius. This picture will give you a basic idea of how this is done.
a)     The distance from the floor of level E to the underside of an "I BEAM" was measured to be 96 inches. A display started around 87 inches below the "I BEAM" to the floor of level E. From the front of that display panel to the display panel on level E's outer circumference measured 163 inches to the same I BEAM's interior, 169 inches to the same I BEAM's exterior, and 156 inches to the outside perimeters display. This display was 31.5 inches high on the inside and 43 inches in the back. What is the level E floor area if this is a normal measurement? Give some estimates. Let's go back and take some measurements to see how much the elevator and stair steps take away from exhibit areas.

b)     Estimate the lateral display area assuming the interior display is three feet out from the sky dome radius. Do not forget the outside display case!




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