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Let APQRS be a pyramid, where the base PQRS is a square of side length 20. The total surface area of pyramid APQRS (including the base) is 1200. Let W, X, Y, and Z be the midpoints of AP, AQ, AR, and AS, respectively. Find the total surface area of frustum PQRSWXYZ (including the bases).

 Dec 12, 2020
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We can use the formula for the surface area of a frustum:

 

Slant height: s
Perimeter of bases: P1, P2

S = s(P1+P2)/2

 

 

Plugging in the numbers, we get (80 + 320)*4 = 1600.

 Dec 12, 2020

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