Four sided prism

Calculate the volume and surface area of a regular quadrangular prism whose height is 28.6cm and the body diagonal forms a 50 degree angle with the base plane.

Correct result:

V =  8235.5985 cm3
S =  2517.2067 cm2

Solution:

c=28.6 A=50π/180=50 3.1416/1800.8727 u2=c/tan(A)=28.6/tan(0.8727)23.9982 a=u2/2=23.9982/216.9693 S1=a2=16.96932287.958 V=S1 c=287.958 28.6=8235.5985 cm3
S=2 S1+c 4 a=2 287.958+28.6 4 16.9693=2517.2067 cm2



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