Body diagonal

Calculate the volume of a cuboid whose body diagonal u is equal to 6.1 cm. Rectangular base has dimensions of 3.2 cm and 2.4 cm

Correct result:

V =  35.3697 cm3

Solution:

u=6.1 cm a=3.2 cm b=2.4 cm  u=a2+b2+c2  c=u2−a2−b2=6.12−3.22−2.42≐4.6054 cm  V=a⋅ b⋅ c=3.2⋅ 2.4⋅ 4.6054=35.3697 cm3

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