Hexagonal prism

The base of the prism is a regular hexagon consisting of six triangles with side a = 12 cm and height va = 10.4 cm. The prism height is 5 cm. Find the volume and surface of the prism.

Correct result:

V =  1870.6149 cm3
S =  1108.2459 cm2

Solution:

a=12 cm h=5 cm o=6 a=6 12=72 cm v=a2(a/2)2=122(12/2)2=6 3 cm10.3923 cm S1=a v/2=12 10.3923/2=36 3 cm262.3538 cm2 S6=6 S1=6 62.3538=216 3 cm2374.123 cm2 V=S6 h=374.123 5=1870.6149 cm3
S=2 S6+o h=2 374.123+72 5=1108.2459 cm2

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