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 cm≐14.1421 cm tan⁡A=h/u1  h=u1⋅ tan⁡(A)=14.1421⋅ tan⁡(1.0472)=10 6 cm≐24.4949 cm  V=a2⋅ h=102⋅ 24.4949=2449.4897 cm3

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