Block or cuboid

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

Correct answer:

V =  30
S =  62

Step-by-step explanation:

29 = a2+b2 34 = b2+c2 13 = a2+c2  a2 = 29  b2 = 2934+c2 = 2934+13a2 2a2 = x2y2+z2  a=22934+13=2   b=229+3413=5   c=229+34+13=3  V=a b c=2 5 3=30
S=2 (a b+b c+c a)=2 (2 5+5 3+3 2)=62



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