Hexaprism container

Calculate the volume and surface of a container in the shape of a regular hexagonal prism with a height of 1.4 m with a base edge of 3dm and a corresponding height of 2.6 dm.

Correct result:

V =  327.6 dm3
S =  298.8 dm2

Solution:

a=3 dm v1=2.6 dm h=1.4 m dm=1.4 10  dm=14 dm n=6  S1=a v12=3 2.62=3910=3.9 dm2 S6=n S1=6 3.9=1175=23.4 dm2  V=S6 h=23.4 14=16385=16385 dm3=327.6 dm3
S=2 S6+n a h=2 23.4+6 3 14=14945=14945 dm2=298.8 dm2



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