Right pyramid

A right pyramid on a base 4 cm square has a slant edge of 6 cm. Calculate the volume of the pyramid.

Correct result:

V =  28.2213 cm3

Solution:

a=4 cm s=6 cm  d2=a2+a2 d2=2 a2 d=2⋅ a=2⋅ 4=4 2 cm≐5.6569 cm  s2=(d/2)2+h2  h=s2−(d/2)2=62−(5.6569/2)2=2 7 cm≐5.2915 cm  V=13⋅ a2⋅ h=13⋅ 42⋅ 5.2915=28.2213 cm3

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