Hexagonal prism 2

The regular hexagonal prism has a surface of 140 cm2 and height of 5 cm. Calculate its volume.

Correct result:

V =  20.1754 cm3

Solution:

h=5 S=140 S=2 6 S1+6ah S=2 6 a2 3/4+6ah 140=3 3 a2+30a 5.19615242271a230a+140=0 D=b24ac=3809.84535672  a1=8.82614069978.8261 a2=3.052638007813.0526 a=a2=3.05263.0526 S1=a2 3/4=3.05262 3/44.0351 S2=6 a h=6 3.0526 591.5791 S3=2 6 S1+S2=2 6 4.0351+91.5791=140 V=S1 h=4.0351 5=20.1754 cm3

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