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Find the side length of a cube given its volume

Find the side length of a cube given its volume-example-1
User Fanfabbb
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Solution:

The volume of a cube is given by the following formula:


V=a^3

where a is the side length. Then, if V = 8/63, we have that:


(8)/(64)=a^3

Solving for a, we get:


((8)/(64))^{(1)/(3)}\text{ = a}

this is equivalent to say:


a\text{ = }(1)/(2)=\text{ 0.5}

then, we can conclude that the side length is:


a\text{ = 0.5}

User Tillias
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