The tent

The tent shape of a regular quadrilateral pyramid has a base edge length a = 2 m and a height v = 1.8 m. How many m2 of cloth we need to make the tent if we have to add 7% of the seams? How many m3 of air will be in the tent?

Correct result:

S =  13.0931 m2
V =  2.4 m3

Solution:

a=2 m h=1.8 m  s=h2+(a/2)2=1.82+(2/2)22.0591 m S1=a s/2=2 2.0591/22.0591 m2 S=1.07 (a2+4 S1)=1.07 (22+4 2.0591)=13.0931 m2
V=a2 h/3=22 1.8/3=125=125 m3=2.4 m3



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