Mathematics: Acube has a volume of 125 cm cubed. if each of its edges is reduced by 3, by what percent is the volume of the cube reduced?

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Acube has a volume of 125 cm cubed. if each of its

salvadorperez26

05.01.2022

The percent of the volume of the cube reduced is $6.4\%$

Step-by-step explanation:

The length side of the original cube is equal to

$b^{3} =125\ cm{3}\\b=5\ cm$

The length side of the reduced cube is equal to

$b=5-3=2\ cm$

The volume of the reduced cube is equal to

$V=2^{3} =8\ cm^{3}$

To find the percent of the volume of the cube reduced, apply proportion

$\frac{100\%}{125}= \frac{x\%}{8}\\ \\x=8*100/125\\ \\x=6.4\%$

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