Angle of diagonal

Angle between the body diagonal of a regular quadrilateral and its base is 60°. The edge of the base has a length of 10cm. Calculate the body volume.

Correct result:

V =  2449.4897 cm3

Solution:

a=10 cm A=60 rad=60 π180 =60 3.1415926180 =1.0472=π/3  u1=2 a=2 10=10 2 cm14.1421 cm tanA=h/u1  h=u1 tan(A)=14.1421 tan(1.0472)=10 6 cm24.4949 cm  V=a2 h=102 24.4949=2449.4897 cm3



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