# Volume and body diagonal

Calculate how much the volume and body diagonal of the cuboid decrease if we reduce each of its three edges a, b, c by 18%?

Correct result:

p1 =  44.863 %
p2 =  18 %

#### Solution:

$p=18 \ \% \ \\ q=1-p/100=1-18/100=\dfrac{ 41 }{ 50 }=0.82 \ \\ p_{1}=100 \cdot \ (1- q^{ 3 })=100 \cdot \ (1- 0.82^{ 3 })=44.863 \%$
$p_{2}=p=18=18 \%$

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