Cuboid

Cuboid with edge a=6 cm and body diagonal u=31 cm has volume V=900 cm3. Calculate the length of the other edges.

Result

b =  30 cm
c =  5 cm

Solution:


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c=c2=5 cm   Correctness test:  d=a2+b2+c2=62+302+52=31 d=u V2=a b c=6 30 5=900 cm3 V2=Vc=c_{2}=5 \ \text{cm} \ \\ \ \\ \text{ Correctness test: } \ \\ d=\sqrt{ a^2+b^2+c^2 }=\sqrt{ 6^2+30^2+5^2 }=31 \ \\ d=u \ \\ V_{2}=a \cdot \ b \cdot \ c=6 \cdot \ 30 \cdot \ 5=900 \ \text{cm}^3 \ \\ V_{2}=V



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