Calculate 6331

The regular hexagonal pyramid has a base edge of 20 cm a side edge of 40 cm. Calculate the height and surface of the pyramid

Correct answer:

h =  34.641 cm
S =  3363.0205 cm2

Step-by-step explanation:

a=20 cm s=40 cm  h=s2a2=402202=20 3=34.641 cm
S1=3/4 a2=3/4 202=100 3 cm2173.2051 cm2 h2=s2(a/2)2=402(20/2)2=10 15 cm38.7298 cm  S2=a h2/2=20 38.7298/2=100 15387.2983  S=6 S1+6 S2=6 173.2051+6 387.2983=3363.0205 cm2

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