Block or cuboid

The wall diagonals of the block have sizes of √29cm, √34cm, √13cm. Calculate the surface and volume of the block.

Correct result:

V =  30
S =  62

Solution:

  29=a2+b2 34=b2+c2 13=a2+c2  a2=29b2=2934+c2=2934+13a2 2a2=x2y2+z2  a=2934+132=2   b=29+34132=5   c=29+34+132=3  V=a b c=2 5 3=30
S=2 (a b+b c+c a)=2 (2 5+5 3+3 2)=62S=2 \cdot \ (a \cdot \ b+b \cdot \ c+c \cdot \ a)=2 \cdot \ (2 \cdot \ 5+5 \cdot \ 3+3 \cdot \ 2)=62



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