Hexagonal pyramid

Regular hexagonal pyramid has dimensions: length edge of the base a = 1.8 dm and the height of the pyramid = 2.4 dm. Calculate the surface area and volume of a pyramid.

Correct result:

S =  23.8716 dm2
V =  6.7342 dm3

Solution:

a=1.8 dm v=2.4 dm h1=a 3/2=1.8 3/21.5588 dm h2=v2+h12=2.42+1.558822.8618 dm  S1=a h1/2=1.8 1.5588/21.403 dm2 S2=6 S1=6 1.4038.4178 dm2 S3=a h2/2=1.8 2.8618/22.5756 dm2 S=S2+6 S3=8.4178+6 2.5756=23.8716 dm2
V=13 S2 v=13 8.4178 2.4=6.7342 dm3



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