Pentagonal pyramid

The height of a regular pentagonal pyramid is as long as the edge of the base, 20 cm. Calculate the volume and surface area of the pyramid.

Correct result:

V =  4587.9397 cm3
S =  1902.113 cm2

Solution:

a=20 cm h=a=20=20 cm n=5  k= r=25+10 510 a=25+10 510 2013.7638 cm  S1=25+10 54 a2=25+10 54 202688.191 cm2  V=13 S1 h=13 688.191 20=4587.9397 cm3
h2=r2+h2=13.76382+20224.2784 cm  S2=a h22=20 24.27842242.7844 cm2  S=S1+n S2=688.191+5 242.7844=1902.113 cm2



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