Cuboid enlargement

By how many percent increases the volume of cuboid if its every dimension increases by 30%?

Result

p =  119.7 %

Solution:

a=1 b=1 c=1 V1=a b c=1 1 1=1 k=1+30/100=1310=1.3 V2=k a k b k c=1.3 1 1.3 1 1.3 1=2.197 p=100 (V2V1)/V1=100 (2.1971)/1=119710=119.7=119.7%a=1 \ \\ b=1 \ \\ c=1 \ \\ V_{1}=a \cdot \ b \cdot \ c=1 \cdot \ 1 \cdot \ 1=1 \ \\ k=1+ 30/100=\dfrac{ 13 }{ 10 }=1.3 \ \\ V_{2}=k \cdot \ a \cdot \ k \cdot \ b \cdot \ k \cdot \ c=1.3 \cdot \ 1 \cdot \ 1.3 \cdot \ 1 \cdot \ 1.3 \cdot \ 1=2.197 \ \\ p=100 \cdot \ (V_{2}-V_{1})/V_{1}=100 \cdot \ (2.197-1)/1=\dfrac{ 1197 }{ 10 }=119.7=119.7 \%



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