# Reduce of the volume

Calculate how many % reduce the volume of the cube is we reduced length of each edge by 10%.

Correct result:

p =  27.1 %

#### Solution:

$p = 100 \cdot \dfrac{V_1 - V_2}{V_1} = 100 \cdot \dfrac{ a^3 - (0.9a)^3}{a^3} \ \\ p = 100 \cdot \dfrac{ 1 - 0.9^3}{1} = 27.1 \%$

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