Quadrilateral prism

Calculate the volume (V) and the surface (S) of a regular quadrilateral prism whose height is 28.6 cm and the deviation of the body diagonal from the base plane is 50°.

Correct result:

V =  8235.5985 cm3
S =  2517.2067 cm2

Solution:

c=28.6 cm A=50 tanA=c:u  u=c/tanA=c/tan50 =28.6/tan50 =28.6/1.191754=23.99825  a=u/2=23.9982/216.9693 cm S1=a2=16.96932287.958 cm2  V=S1 c=287.958 28.6=8235.5985 cm3
S=2 S1+4 a c=2 287.958+4 16.9693 28.6=2517.2067 cm2



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