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1. Find the volume of a pyramid with a rectangular base of dimensions 32 by 66 and with lateral edge 65.

 

2. The volume of a regular hexagonal pyramid, with base edge length half as long as the height, is 5123‾√5123. Find the lateral area of the pyramid.

 Apr 18, 2019
 #1
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\(V = \dfrac{1}{3}Ah\)

\(A = 32 \cdot 66 = 2112\)

\(h = \sqrt{65^2-\left(\dfrac{32}{2}\right)^2-\left(\dfrac{66}{2}\right)^2} = 24\sqrt5\)

\(V = \dfrac{1}{3}(2112)(24\sqrt5) = 16896\sqrt5\)

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 Apr 18, 2019

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