# Cube edges

If the edge length of the cube increases by 50%, how does the volume of this cube increase?

Result

p =  3.375

#### Solution:

$q=1 + 50/100=\dfrac{ 3 }{ 2 }=1.5 \ \\ V_{1}=a^3 \ \\ V_{2}=(1.5a)^3=1.5^3 \ a^3 \ \\ \ \\ p=V_{1}/V_{2} \ \\ p=1.5^{ 3 }=3.375=\dfrac{ 27 }{ 8 }$

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