Prism diagonal

The body diagonal of a regular square prism has an angle of 60 degrees with the base, the edge length is 10 cm. What is the volume of the prism?

Correct result:

V =  2449.4897 cm3

Solution:

a=10 cm A=60  S1=a2=102=100 cm2 u1=2 a=2 10=10 2 cm14.1421 cm  tanA=h/u1 h=u1 tanA=u1 tan60 =14.1421 tan60 =14.1421 1.732051=24.4949  V=S1 h=100 24.4949=2449.4897 cm3



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