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 = 29−34+c2 = 29−34+13−a2 2a2 = x2−y2+z2  a=229−34+13​​=2  … b=229+34−13​​=5  … c=2−29+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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