Hexagon

Calculate the surface of a regular hexagonal prism whose base edge a = 12cm and side edge b = 3 dm.

Result

S =  2908.246 cm2

Solution:

a=12 cm b=3 dm=3 10 cm=30 cm  S0=3/4 a2=3/4 12236 3 cm262.3538 cm2 S1=6 S0=6 62.3538216 3 cm2374.123 cm2  S=6 a b+2 S1=6 12 30+2 374.1232908.24592908.246 cm2a=12 \ \text{cm} \ \\ b=3 \ dm=3 \cdot \ 10 \ cm=30 \ cm \ \\ \ \\ S_{0}=\sqrt{ 3 }/4 \cdot \ a^2=\sqrt{ 3 }/4 \cdot \ 12^2 \doteq 36 \ \sqrt{ 3 } \ \text{cm}^2 \doteq 62.3538 \ \text{cm}^2 \ \\ S_{1}=6 \cdot \ S_{0}=6 \cdot \ 62.3538 \doteq 216 \ \sqrt{ 3 } \ \text{cm}^2 \doteq 374.123 \ \text{cm}^2 \ \\ \ \\ S=6 \cdot \ a \cdot \ b + 2 \cdot \ S_{1}=6 \cdot \ 12 \cdot \ 30 + 2 \cdot \ 374.123 \doteq 2908.2459 \doteq 2908.246 \ \text{cm}^2



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