Calculate 6566

Calculate the surface area and volume of a regular hexagonal pyramid whose base edge is 10 cm long and the side edge is 26 cm long.

Correct answer:

V =  2078.461 cm3
S =  1025.2487 cm2

Step-by-step explanation:

a=10 cm s=26 cm h=s2a2=262102=24 cm S1=3 3/2 a2=3 3/2 102=150 3 cm2259.8076 cm2 V=S1 h/3=259.8076 24/3=1200 3=2078.461 cm3
a2=3/2 a=3/2 10=5 3 cm8.6603 cm h2=a22+h2=8.66032+242=651 cm25.5147 cm S2=a h2/2=10 25.5147/2=5 651 cm2127.5735 cm2 S=S1+6 S2=259.8076+6 127.5735=1025.2487 cm2

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